{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":60983,"title":"Check Euler's characteristic on regular polyhedra","description":"Problem statement\r\nGiven the number of vertices and the number of faces of a given regular polyhedron, compute the number of its edges with Euler characteristic, a powerful generic formula linking these three.\r\n\r\nExamples -\u003e check the test suite\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 263.333px 8px; transform-origin: 263.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.042px 8px; transform-origin: 110.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecompute the number of its edges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.425px 8px; transform-origin: 6.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.8917px 8px; transform-origin: 59.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003echeck the test suite\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = check_Euler_chracteristic(v,f)\r\n  e = f;\r\nend","test_suite":"%% tetrahedron\r\nv = 4;\r\nf = 4;\r\ne_correct = 6;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% octahedron\r\nv = 6;\r\nf = 8;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% hexahedron / cube\r\nv = 8;\r\nf = 6;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% icosahedron\r\nv = 12;\r\nf = 20;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% dodecahedron\r\nv = 20;\r\nf = 12;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Euler_chracteristic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:08:07.000Z","updated_at":"2026-02-10T17:11:09.000Z","published_at":"2025-07-24T07:25:21.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecompute the number of its edges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003echeck the test suite\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60981,"title":"Mesh the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1           0            0;\r\n     cos(2*pi/5) sin(2*pi/5)  0;\r\n     cos(4*pi/5) sin(4*pi/5)  0;\r\n     cos(4*pi/5) sin(-4*pi/5) 0;\r\n     cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; 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min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1           0            0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(2*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(4*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n              1 3 4;\r\n              1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n              2 4 5;\r\n              2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n              5 2 3;\r\n              5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1           0            0;\\n     cos(2*pi/5) sin(2*pi/5)  0;\\n     cos(4*pi/5) sin(4*pi/5)  0;\\n     cos(4*pi/5) sin(-4*pi/5) 0;\\n     cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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IvKBQAgYxIXkqNyAQDIleu4kCKVCwBA9hzkQkJULgAAWbKrDIlSuQAA5MeuMqRL5QIAkDEHuZAclQsAQGbsKkPSVC4AADmRuJA6lQsAQDZcx4UMqFwAAPLjIBfSpXIBAMiDXWXIg8oFACADEheyoXIBAEid67iQE5ULAEA2HORCBlQuAABJs6sMmVG5AACky64y5EflAgCQAQe5kA2VCwBAouwqQ5ZULgAAKZK4kCuVCwBAclzHhYypXAAA0uUgF/KjcgEASItdZcibygUAICESF7KncgEASIXruIDKBQAgQQ5yIWMqFwCAJNhVBkapXAAA4mdXGdhH5QIAkBAHuZA9lQsAQOTsKgMdVC4AADGTuMBYKhcAgGi5jguMo3IBAIifg1xgH5ULAECc7CoDE1G5AABESOICXahcAABi4zou0J3KBQAgWg5ygXFULgAAUbGrDExK5QIAEA+7ysBUVC4AABFykAt0oXIBAIiEXWWgByoXAIAYSFygNyoXAIDguY4L9EzlAgAQDwe5wFRULgAAYbOrDPRD5QIAEDC7ykCfVC4AAKHqTFwHuUBvVC4AAMGTuEDPVC4AAEFyHReYFpULAEB4XMcFpkvlAgAQMAe5QJ9ULgAAgbGrDAxA5QIAEBKJCwxG5QIAEAzXcYGBqVwAAMLjIBeYLpULAEAY7CoDZVC5AAAEwK4yUBKVCwBA0zoT10EuMBiVCwBAMCQuMDCVCwBAo1zHBUqlcgEAaI7ruEDZVC4AAAFwkAuUROUCANAQu8pABVQuAABNkLhANVQuAAC1cx0XqIzKBQCgOQ5ygbKpXAAA6mVXGaiSygUAoEZ2lYGKqVwAAOrSmbgOcoFqqFwAAGoncYHKqFwAAGrhOi5QC5ULAED1XMcF6qJyAQCokYNcoGIqFwCAitlVBmqkcgEAqJLEBeqlcgEAqIzruEDtVC4AANVzkAvUReUCAFANu8pAE1QuAAAVsKsMNETlAgBQJQe5QL1ULgAAZbOrDDRH5QIAUCqJCzRK5QIAUB7XcYGmqVwAACrgIBdoiMoFAKAkdpWBAKhcAADKIHGBMKhcAAAG5jouEAyVCwBAeRzkAk1TuQAADMauMhASlQsAwADsKgOBUbkAAJTBQS4QBpULAMB02VUGwqNyAQCYFokLBEnlAgDQP9dxgVCpXAAABuAgFwiMygUAoE92lYGAqVwAAPohcYGwqVwAAHrmOi4QPJULAED/HOQCoVK5AAD0xq4yEAOVCwBAD+wqA5FQuQAA9MNBLhA2lQsAwFTsKgPxULkAAExK4gJRUbkAAHTnOi4QG5ULAEAPHOQCkVC5AAB0YVcZiJDKBQBgIhIXiJPKBQBgHNdxgWipXAAAunOQC8RG5QIAMJZdZSBmKhcAgA52lYHIqVwAACbiIBeIk8oFAGAfu8pA/FQuAACjJC6QBJULAIDruEA6VC4AAB0c5AKRU7kAANmzqwwkROUCAORN4gJpUbkAABlzHRdIjsoFAMBBLpAOlQsAkCu7ykCKVC4AQJbsKgOJUrkAAHlzkAukReUCAOTHrjKQLpULAJAZiQskTeUCAOTEdVwgdSoXACBLDnKBRKlcAIBs2FUGMqByAQDyIHGBPKhcAIAMuI4LZEPlAgDkxEEukDqVCwCQOrvKQE5ULgBA0uwqA5lRuQAAeXCQC+RB5cJg/AU5ACGzqwzkx7yDadm7t/3Q6aqr2g8AEAKJC2TJyIMBTNi6LXIXgMZ1bhupXCAnRh6UQe4CEBoHuUCuTD0oVbfcbVG8ANRG4gIZM/igGnIXgKZIXCBvZh9UTO4CUCfXcYHs+ZeEyNrFF1+8fdScOXPar0rX+i+M4td4rf8QKX4BQOkkLpAr4498LVq06LHHHnvHO97Rep47d+7WrVuL95VzugtARewqA6hcsjU0NPTwww+feOKJxZe1Vu5+cheAEtlVBhhlY5lMXXXVVfsTtzHFJvOE/yFimRmAaZO4QN4MQXK0ZMmSv//9762H//3vf0cccUTroZmz3PGc7gIwPXaVAfYxB8nOyMjIE088ccwxx/zxj3989dVXP/vZz7ZehlK5nboVr9wF4AASF6CDjWWy85Of/KSVuFu2bFm5cmX7VZiKZebx/71imRmATj4RAMZSueTlM5/5zPnnn996uOiiizZv3ly8DJ3cBaAX4z8pALKkcsnIggULrr/++tbDr3/96zvvvLN4GRO5C8AB9g9/iQuwj8olI7/97W+PPPLI55577tJLL22/ipTcBaBF4gJMROWSi69+9atnnHFG6+H888/fsWNH8TJ6U+au4gVIlQkP0IXKJQsf/OAHV69e3Xq4+uqr165dW7xMSrfcbZG7AGmbcPgDZMxYJH3Dw8Pr1q37wAc+8Pjjj5900kl79uxpf+Ogg26++eZw/yWhAfmndwEStv/vLiUuwDjOcknfd7/73Vbi7tq1qxW0nYmbOKe7AKkywAEmpXJJ3NKlS7/85S+3Hr75zW8+++yzw2PNmDGj+GPtr4eHh4aS+38KuQuQqglnO0D2DEcS94tf/GLVqlXtL3rwyU9+8p577ml/kSrLzADx2v9XkxIXoAtnuZAfp7sAkZK4AD0wIkncihUrlixZ0v5inDPPPPO4445rPdxwww27du1qPfz0pz998sknR7+ZE6e7AOHr/CtIlQvQnRFJ1lL+GcvT1q145S5AsxzkAvTGxjIwVrHMPP4/oYpN5s6TBABqI3EBeqZygS7kLkAgJC5AP1QuMBW5C9AgYxagTyoX6JncBWjQ+PELwESMS2AAfjgzQKX2/wWixAXomYkJlEHuApSuc0dG5QL0zMQESiV3AcriIBdgWgxNoBpyF2AQEhdgusxNoGJyF6BfEhdgAEYnUBe5C9AL13EBBmN0ArWTuwCTcJALMBjTE2iO3AU4gMQFGJgBCoShW/HKXSAfdpUBymCAAoGRu0CeJC5AScxQIFRyF8iKXWWAkhijQPDkLpA8iQtQHpMUiIefVgUkya4yQKlMUiBCchdIiYNcgFIZpkDM5C4QO4kLUDbzFEiC3AViJHEBKmCkAmmRu0AsXMcFqIaRCiRK7gKBc5ALUA1TFUid3AUCJHEBKmOwAtmQu0Ag7CoDVMlgBfIjd4EGSVyAipmtQN66Fa/cBSpiVxmgYsYrwCi5C9RA4gJUz4QFGEvuAhWxqwxQCxMWoAu5C5TLQS5ALQxZgKn4aVXA4CQuQF3MWYCeyV1geiQuQI2MWoD+yV2gd67jAtTLqAUYgNwFpuQgF6Bepi1AGeQuMCGJC1A7AxegVHIX2M+uMkATDFyAashdyJzEBWiImQtQMbkLebKrDNAQYxegRt2KV+5CYiQuQHNMXoAmyF1ImF1lgEaZvACNkruQHge5AI0yfAHCIHchDRIXoGnmL0Bg5C7ES+ICBMAIBghVt9xtUbwQINdxAcJgBAMET+5CFBzkAoTBFAaIh9yFYElcgGAYxAARkrsQFLvKACExiAFiJnchBA5yAUJiFgMkQe5CUyQuQGCMY4C0yF2ok8QFCI+JDJAouQtVcx0XIEgmMkAGuhWv3IVBOMgFCJKhDJATuQtlkbgAoTKXAbIkd2EQEhcgYEYzQN7kLvTLdVyAsBnNAIySu9AjB7kAYTOdARirW+62KF6QuADBM6AB6ELuwgHsKgPEwIAGYCpyFwoOcgFiYEYD0DO5S84kLkAkjGkA+id3yY3EBYiHSQ3AAOQuOXAdFyAqJjUAZZC7JMxBLkBUDGsASiV3SYzEBYiNeQ1AZboVr9wlFhIXIEJGNgDVk7vEyHVcgDgZ2QDUSO4SEQe5AHEytQFogtwlcBIXIFoGNwCNkrsEyK4yQMwMbgDC0C13WxQvNXOQCxAzsxuAwMhdmiVxASJnfAMQKrlL/SQuQPxMcACCJ3eph+u4AEkwwQGIh9ylUg5yAZJgiAMQIblL6SQuQCrMcQBiJncphcQFSIhRDkAS5C7T5jouQFqMcgCS06145S4TcpALkBbTHIB0yV2mJHEBkmOgA5ABucuE7CoDpMhAByAncpdODnIBUmSmA5AluYvEBUiUsQ5A3rrlboviTZjEBUiXyQ4Ao+RuPlzHBUiayQ4AY8nd5DnIBUia4Q4AXcjdJElcgNSZ7wAwFbmbDIkLkAEjHgB6Jnej5jouQB6MeADon9yNkYNcgDyY8gAwALkbC4kLkA2DHgBK0q145W7j7CoD5MSgB4Cyyd3QOMgFyIlZDwCVkbshkLgAmTHuAaB6crcpEhcgPyY+ANRI7tbJdVyALJn4ANCEbrnbonjL4iAXIEuGPgA0Su5WROIC5MrcB4AwyN0SSVyAjBn9ABAYuTsg13EB8mb0A0Co5O70OMgFyJvpDwDBk7u9k7gA2fMBAADxkLuTs6sMgMoFgCjJ3Qk5yAVA5QJA9LoVb265K3EBGOVjAABSkXPuSlwA9vFJAADJyS13XccFoINPAgBIVya56yAXgA4+DAAgAwnnrsQFYCyfBwCQk2652xJj8UpcAMbxkQAAWUogd13HBWAiPhIAIG/x5q6DXAAm4lMBABgVV+5KXAC68MEAAIwVfu7aVQagOx8MAEAXweaug1wAuvPZAABMJajclbgATMrHAwDQs8ZzV+ICMBWfEADAtHQr3upy13VcAHrgEwIAGExtuesgF4Ae+JAAAEpSae5KXAB643MCAChb6bkrcQHomY8KAKAypfy0KtdxAeiHjwoAoHqD5K6DXAD64dMCAKhRv7krcQHokw8MAKAJveSuXWUA+ucDAwBo1CS5u5/EBaBnPjMAgDB0y12JC0A/fGwAAIHpzF2JCwAAQCJ6WWYGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOD/O7j9OwBAhK6//vqhoaH2FxP55S9/+cADD7S/AAAAgGAtWrRo71TOO++89p8GIA+T/d0nAEDIjj/++PYTAAAAxG716tXFge2SJUuGu5h8nxkAAABCsWbNmlbi7t69W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the convex hull of a random 3D point cloud","description":"Problem statement\r\n\r\nThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\nUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 795.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 397.617px; transform-origin: 408px 397.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.717px 8px; transform-origin: 256.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.125px 8px; transform-origin: 327.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_convex_hull(V)\r\n  T = V;\r\nend","test_suite":"%% Point set #1\r\nV = [0.7253   -0.3789    0.5520\r\n     0.4471   -0.3044    0.8245\r\n     0.8241    0.6916    0.2092\r\n    -0.7553   -0.5126    0.2692\r\n    -0.2179   -0.8765   -0.3024\r\n    -0.0984    0.3260    0.8808\r\n    -0.9354   -0.0462    0.2274\r\n     0.2122   -0.6391    0.6226\r\n    -0.0248   -0.1993   -0.8833\r\n     0.0772    0.9644   -0.2436\r\n    -0.1098   -0.0333   -0.9851\r\n    -0.6662    0.0466    0.7499\r\n    -0.6866    0.5290   -0.5468\r\n     0.0357    0.0086   -0.9728\r\n     0.0829   -0.2777   -1.0373\r\n    -0.3445    0.5795    0.6257];\r\n\r\nT_correct = [1     2     8;\r\n             1     3     2;\r\n             1     5    15;\r\n             1     8     5;\r\n             1    15     3;\r\n             2     3     6;\r\n             2     6    12;\r\n             2    12     8;\r\n             3    10    16;\r\n             3    14    10;\r\n             3    15    14;\r\n             3    16     6;\r\n             4     5     8;\r\n             4     7    13;\r\n             4     8    12;\r\n             4    12     7;\r\n             4    13     5;\r\n             5    11    15;\r\n             5    13    11;\r\n             6    16    12;\r\n             7    12    16;\r\n             7    16    13;\r\n             10    13    16;\r\n             10    14    13;\r\n             11    13    14;\r\n             11    14    15];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Point set #2\r\nV = [-0.0775   -0.4239    0.9421;\r\n    -0.8154    0.0299   -0.4279;\r\n     0.6777   -0.4686   -0.6602;\r\n    -0.2960   -0.8871    0.5367;\r\n    -0.0034   -0.0899    0.9352;\r\n     0.8245   -0.5624    0.0630;\r\n     0.6048   -0.7364   -0.3692;\r\n     0.4215    0.9403   -0.2533;\r\n     0.3255    0.0593   -0.8884;\r\n     0.4979   -0.0671    0.8623;\r\n    -1.0254    0.1883   -0.0015;\r\n     0.7398    0.2020   -0.4934;\r\n     0.7488    0.5209   -0.0621;\r\n    -0.0994   -0.5682   -0.8936;\r\n    -0.8099   -0.0951   -0.4470;\r\n     0.3038   -0.9284   -0.4938];\r\n\r\nT_correct = [1     4     6;\r\n             1     5    11;\r\n             1     6    10;\r\n             1    10     5;\r\n             1    11     4;\r\n             2     8     9;\r\n             2     9    14;\r\n             2    11     8;\r\n             2    14    15;\r\n             2    15    11;\r\n             3     6     7;\r\n             3     7    16;\r\n             3     9    12;\r\n             3    12     6;\r\n             3    14     9;\r\n             3    16    14;\r\n             4    11    15;\r\n             4    14    16;\r\n             4    15    14;\r\n             4    16     6;\r\n             5     8    11;\r\n             5    10     8;\r\n             6    12    13;\r\n             6    13    10;\r\n             6    16     7;\r\n             8    10    13;\r\n             8    12     9;\r\n             8    13    12];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_convex_hull.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:10:16.000Z","updated_at":"2026-02-13T17:40:03.000Z","published_at":"2025-07-24T18:00:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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Euler's characteristic on regular polyhedra","description":"Problem statement\r\nGiven the number of vertices and the number of faces of a given regular polyhedron, compute the number of its edges with Euler characteristic, a powerful generic formula linking these three.\r\n\r\nExamples -\u003e check the test suite\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 263.333px 8px; transform-origin: 263.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.042px 8px; transform-origin: 110.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecompute the number of its edges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.425px 8px; transform-origin: 6.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.8917px 8px; transform-origin: 59.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003echeck the test suite\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = check_Euler_chracteristic(v,f)\r\n  e = f;\r\nend","test_suite":"%% tetrahedron\r\nv = 4;\r\nf = 4;\r\ne_correct = 6;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% octahedron\r\nv = 6;\r\nf = 8;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% hexahedron / cube\r\nv = 8;\r\nf = 6;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% icosahedron\r\nv = 12;\r\nf = 20;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% dodecahedron\r\nv = 20;\r\nf = 12;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Euler_chracteristic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:08:07.000Z","updated_at":"2026-02-10T17:11:09.000Z","published_at":"2025-07-24T07:25:21.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecompute the number of its edges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60981,"title":"Mesh the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1           0            0;\r\n     cos(2*pi/5) sin(2*pi/5)  0;\r\n     cos(4*pi/5) sin(4*pi/5)  0;\r\n     cos(4*pi/5) sin(-4*pi/5) 0;\r\n     cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1           0            0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(2*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(4*pi/5)  0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n  T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n              1 3 4;\r\n              1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n              2 4 5;\r\n              2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n              3 5 1;\r\n              3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n              5 2 3;\r\n              5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n     | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1           0            0;\\n     cos(2*pi/5) sin(2*pi/5)  0;\\n     cos(4*pi/5) sin(4*pi/5)  0;\\n     cos(4*pi/5) sin(-4*pi/5) 0;\\n     cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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IvKBQAgYxIXkqNyAQDIleu4kCKVCwBA9hzkQkJULgAAWbKrDIlSuQAA5MeuMqRL5QIAkDEHuZAclQsAQGbsKkPSVC4AADmRuJA6lQsAQDZcx4UMqFwAAPLjIBfSpXIBAMiDXWXIg8oFACADEheyoXIBAEid67iQE5ULAEA2HORCBlQuAABJs6sMmVG5AACky64y5EflAgCQAQe5kA2VCwBAouwqQ5ZULgAAKZK4kCuVCwBAclzHhYypXAAA0uUgF/KjcgEASItdZcibygUAICESF7KncgEASIXruIDKBQAgQQ5yIWMqFwCAJNhVBkapXAAA4mdXGdhH5QIAkBAHuZA9lQsAQOTsKgMdVC4AADGTuMBYKhcAgGi5jguMo3IBAIifg1xgH5ULAECc7CoDE1G5AABESOICXahcAABi4zou0J3KBQAgWg5ygXFULgAAUbGrDExK5QIAEA+7ysBUVC4AABFykAt0oXIBAIiEXWWgByoXAIAYSFygNyoXAIDguY4L9EzlAgAQDwe5wFRULgAAYbOrDPRD5QIAEDC7ykCfVC4AAKHqTFwHuUBvVC4AAMGTuEDPVC4AAEFyHReYFpULAEB4XMcFpkvlAgAQMAe5QJ9ULgAAgbGrDAxA5QIAEBKJCwxG5QIAEAzXcYGBqVwAAMLjIBeYLpULAEAY7CoDZVC5AAAEwK4yUBKVCwBA0zoT10EuMBiVCwBAMCQuMDCVCwBAo1zHBUqlcgEAaI7ruEDZVC4AAAFwkAuUROUCANAQu8pABVQuAABNkLhANVQuAAC1cx0XqIzKBQCgOQ5ygbKpXAAA6mVXGaiSygUAoEZ2lYGKqVwAAOrSmbgOcoFqqFwAAGoncYHKqFwAAGrhOi5QC5ULAED1XMcF6qJyAQCokYNcoGIqFwCAitlVBmqkcgEAqJLEBeqlcgEAqIzruEDtVC4AANVzkAvUReUCAFANu8pAE1QuAAAVsKsMNETlAgBQJQe5QL1ULgAAZbOrDDRH5QIAUCqJCzRK5QIAUB7XcYGmqVwAACrgIBdoiMoFAKAkdpWBAKhcAADKIHGBMKhcAAAG5jouEAyVCwBAeRzkAk1TuQAADMauMhASlQsAwADsKgOBUbkAAJTBQS4QBpULAMB02VUGwqNyAQCYFokLBEnlAgDQP9dxgVCpXAAABuAgFwiMygUAoE92lYGAqVwAAPohcYGwqVwAAHrmOi4QPJULAED/HOQCoVK5AAD0xq4yEAOVCwBAD+wqA5FQuQAA9MNBLhA2lQsAwFTsKgPxULkAAExK4gJRUbkAAHTnOi4QG5ULAEAPHOQCkVC5AAB0YVcZiJDKBQBgIhIXiJPKBQBgHNdxgWipXAAAunOQC8RG5QIAMJZdZSBmKhcAgA52lYHIqVwAACbiIBeIk8oFAGAfu8pA/FQuAACjJC6QBJULAIDruEA6VC4AAB0c5AKRU7kAANmzqwwkROUCAORN4gJpUbkAABlzHRdIjsoFAMBBLpAOlQsAkCu7ykCKVC4AQJbsKgOJUrkAAHlzkAukReUCAOTHrjKQLpULAJAZiQskTeUCAOTEdVwgdSoXACBLDnKBRKlcAIBs2FUGMqByAQDyIHGBPKhcAIAMuI4LZEPlAgDkxEEukDqVCwCQOrvKQE5ULgBA0uwqA5lRuQAAeXCQC+RB5cJg/AU5ACGzqwzkx7yDadm7t/3Q6aqr2g8AEAKJC2TJyIMBTNi6LXIXgMZ1bhupXCAnRh6UQe4CEBoHuUCuTD0oVbfcbVG8ANRG4gIZM/igGnIXgKZIXCBvZh9UTO4CUCfXcYHs+ZeEyNrFF1+8fdScOXPar0rX+i+M4td4rf8QKX4BQOkkLpAr4498LVq06LHHHnvHO97Rep47d+7WrVuL95VzugtARewqA6hcsjU0NPTwww+feOKJxZe1Vu5+cheAEtlVBhhlY5lMXXXVVfsTtzHFJvOE/yFimRmAaZO4QN4MQXK0ZMmSv//9762H//3vf0cccUTroZmz3PGc7gIwPXaVAfYxB8nOyMjIE088ccwxx/zxj3989dVXP/vZz7ZehlK5nboVr9wF4AASF6CDjWWy85Of/KSVuFu2bFm5cmX7VZiKZebx/71imRmATj4RAMZSueTlM5/5zPnnn996uOiiizZv3ly8DJ3cBaAX4z8pALKkcsnIggULrr/++tbDr3/96zvvvLN4GRO5C8AB9g9/iQuwj8olI7/97W+PPPLI55577tJLL22/ipTcBaBF4gJMROWSi69+9atnnHFG6+H888/fsWNH8TJ6U+au4gVIlQkP0IXKJQsf/OAHV69e3Xq4+uqr165dW7xMSrfcbZG7AGmbcPgDZMxYJH3Dw8Pr1q37wAc+8Pjjj5900kl79uxpf+Ogg26++eZw/yWhAfmndwEStv/vLiUuwDjOcknfd7/73Vbi7tq1qxW0nYmbOKe7AKkywAEmpXJJ3NKlS7/85S+3Hr75zW8+++yzw2PNmDGj+GPtr4eHh4aS+38KuQuQqglnO0D2DEcS94tf/GLVqlXtL3rwyU9+8p577ml/kSrLzADx2v9XkxIXoAtnuZAfp7sAkZK4AD0wIkncihUrlixZ0v5inDPPPPO4445rPdxwww27du1qPfz0pz998sknR7+ZE6e7AOHr/CtIlQvQnRFJ1lL+GcvT1q145S5AsxzkAvTGxjIwVrHMPP4/oYpN5s6TBABqI3EBeqZygS7kLkAgJC5AP1QuMBW5C9AgYxagTyoX6JncBWjQ+PELwESMS2AAfjgzQKX2/wWixAXomYkJlEHuApSuc0dG5QL0zMQESiV3AcriIBdgWgxNoBpyF2AQEhdgusxNoGJyF6BfEhdgAEYnUBe5C9AL13EBBmN0ArWTuwCTcJALMBjTE2iO3AU4gMQFGJgBCoShW/HKXSAfdpUBymCAAoGRu0CeJC5AScxQIFRyF8iKXWWAkhijQPDkLpA8iQtQHpMUiIefVgUkya4yQKlMUiBCchdIiYNcgFIZpkDM5C4QO4kLUDbzFEiC3AViJHEBKmCkAmmRu0AsXMcFqIaRCiRK7gKBc5ALUA1TFUid3AUCJHEBKmOwAtmQu0Ag7CoDVMlgBfIjd4EGSVyAipmtQN66Fa/cBSpiVxmgYsYrwCi5C9RA4gJUz4QFGEvuAhWxqwxQCxMWoAu5C5TLQS5ALQxZgKn4aVXA4CQuQF3MWYCeyV1geiQuQI2MWoD+yV2gd67jAtTLqAUYgNwFpuQgF6Bepi1AGeQuMCGJC1A7AxegVHIX2M+uMkATDFyAashdyJzEBWiImQtQMbkLebKrDNAQYxegRt2KV+5CYiQuQHNMXoAmyF1ImF1lgEaZvACNkruQHge5AI0yfAHCIHchDRIXoGnmL0Bg5C7ES+ICBMAIBghVt9xtUbwQINdxAcJgBAMET+5CFBzkAoTBFAaIh9yFYElcgGAYxAARkrsQFLvKACExiAFiJnchBA5yAUJiFgMkQe5CUyQuQGCMY4C0yF2ok8QFCI+JDJAouQtVcx0XIEgmMkAGuhWv3IVBOMgFCJKhDJATuQtlkbgAoTKXAbIkd2EQEhcgYEYzQN7kLvTLdVyAsBnNAIySu9AjB7kAYTOdARirW+62KF6QuADBM6AB6ELuwgHsKgPEwIAGYCpyFwoOcgFiYEYD0DO5S84kLkAkjGkA+id3yY3EBYiHSQ3AAOQuOXAdFyAqJjUAZZC7JMxBLkBUDGsASiV3SYzEBYiNeQ1AZboVr9wlFhIXIEJGNgDVk7vEyHVcgDgZ2QDUSO4SEQe5AHEytQFogtwlcBIXIFoGNwCNkrsEyK4yQMwMbgDC0C13WxQvNXOQCxAzsxuAwMhdmiVxASJnfAMQKrlL/SQuQPxMcACCJ3eph+u4AEkwwQGIh9ylUg5yAZJgiAMQIblL6SQuQCrMcQBiJncphcQFSIhRDkAS5C7T5jouQFqMcgCS06145S4TcpALkBbTHIB0yV2mJHEBkmOgA5ABucuE7CoDpMhAByAncpdODnIBUmSmA5AluYvEBUiUsQ5A3rrlboviTZjEBUiXyQ4Ao+RuPlzHBUiayQ4AY8nd5DnIBUia4Q4AXcjdJElcgNSZ7wAwFbmbDIkLkAEjHgB6Jnej5jouQB6MeADon9yNkYNcgDyY8gAwALkbC4kLkA2DHgBK0q145W7j7CoD5MSgB4Cyyd3QOMgFyIlZDwCVkbshkLgAmTHuAaB6crcpEhcgPyY+ANRI7tbJdVyALJn4ANCEbrnbonjL4iAXIEuGPgA0Su5WROIC5MrcB4AwyN0SSVyAjBn9ABAYuTsg13EB8mb0A0Co5O70OMgFyJvpDwDBk7u9k7gA2fMBAADxkLuTs6sMgMoFgCjJ3Qk5yAVA5QJA9LoVb265K3EBGOVjAABSkXPuSlwA9vFJAADJyS13XccFoINPAgBIVya56yAXgA4+DAAgAwnnrsQFYCyfBwCQk2652xJj8UpcAMbxkQAAWUogd13HBWAiPhIAIG/x5q6DXAAm4lMBABgVV+5KXAC68MEAAIwVfu7aVQagOx8MAEAXweaug1wAuvPZAABMJajclbgATMrHAwDQs8ZzV+ICMBWfEADAtHQr3upy13VcAHrgEwIAGExtuesgF4Ae+JAAAEpSae5KXAB643MCAChb6bkrcQHomY8KAKAypfy0KtdxAeiHjwoAoHqD5K6DXAD64dMCAKhRv7krcQHokw8MAKAJveSuXWUA+ucDAwBo1CS5u5/EBaBnPjMAgDB0y12JC0A/fGwAAIHpzF2JCwAAQCJ6WWYGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOD/O7j9OwBAhK6//vqhoaH2FxP55S9/+cADD7S/AAAAgGAtWrRo71TOO++89p8GIA+T/d0nAEDIjj/++PYTAAAAxG716tXFge2SJUuGu5h8nxkAAABCsWbNmlbi7t69W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the convex hull of a random 3D point cloud","description":"Problem statement\r\n\r\nThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\nUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 795.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 397.617px; transform-origin: 408px 397.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.717px 8px; transform-origin: 256.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.125px 8px; transform-origin: 327.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_convex_hull(V)\r\n  T = V;\r\nend","test_suite":"%% Point set #1\r\nV = [0.7253   -0.3789    0.5520\r\n     0.4471   -0.3044    0.8245\r\n     0.8241    0.6916    0.2092\r\n    -0.7553   -0.5126    0.2692\r\n    -0.2179   -0.8765   -0.3024\r\n    -0.0984    0.3260    0.8808\r\n    -0.9354   -0.0462    0.2274\r\n     0.2122   -0.6391    0.6226\r\n    -0.0248   -0.1993   -0.8833\r\n     0.0772    0.9644   -0.2436\r\n    -0.1098   -0.0333   -0.9851\r\n    -0.6662    0.0466    0.7499\r\n    -0.6866    0.5290   -0.5468\r\n     0.0357    0.0086   -0.9728\r\n     0.0829   -0.2777   -1.0373\r\n    -0.3445    0.5795    0.6257];\r\n\r\nT_correct = [1     2     8;\r\n             1     3     2;\r\n             1     5    15;\r\n             1     8     5;\r\n             1    15     3;\r\n             2     3     6;\r\n             2     6    12;\r\n             2    12     8;\r\n             3    10    16;\r\n             3    14    10;\r\n             3    15    14;\r\n             3    16     6;\r\n             4     5     8;\r\n             4     7    13;\r\n             4     8    12;\r\n             4    12     7;\r\n             4    13     5;\r\n             5    11    15;\r\n             5    13    11;\r\n             6    16    12;\r\n             7    12    16;\r\n             7    16    13;\r\n             10    13    16;\r\n             10    14    13;\r\n             11    13    14;\r\n             11    14    15];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Point set #2\r\nV = [-0.0775   -0.4239    0.9421;\r\n    -0.8154    0.0299   -0.4279;\r\n     0.6777   -0.4686   -0.6602;\r\n    -0.2960   -0.8871    0.5367;\r\n    -0.0034   -0.0899    0.9352;\r\n     0.8245   -0.5624    0.0630;\r\n     0.6048   -0.7364   -0.3692;\r\n     0.4215    0.9403   -0.2533;\r\n     0.3255    0.0593   -0.8884;\r\n     0.4979   -0.0671    0.8623;\r\n    -1.0254    0.1883   -0.0015;\r\n     0.7398    0.2020   -0.4934;\r\n     0.7488    0.5209   -0.0621;\r\n    -0.0994   -0.5682   -0.8936;\r\n    -0.8099   -0.0951   -0.4470;\r\n     0.3038   -0.9284   -0.4938];\r\n\r\nT_correct = [1     4     6;\r\n             1     5    11;\r\n             1     6    10;\r\n             1    10     5;\r\n             1    11     4;\r\n             2     8     9;\r\n             2     9    14;\r\n             2    11     8;\r\n             2    14    15;\r\n             2    15    11;\r\n             3     6     7;\r\n             3     7    16;\r\n             3     9    12;\r\n             3    12     6;\r\n             3    14     9;\r\n             3    16    14;\r\n             4    11    15;\r\n             4    14    16;\r\n             4    15    14;\r\n             4    16     6;\r\n             5     8    11;\r\n             5    10     8;\r\n             6    12    13;\r\n             6    13    10;\r\n             6    16     7;\r\n             8    10    13;\r\n             8    12     9;\r\n             8    13    12];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_convex_hull.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:10:16.000Z","updated_at":"2026-02-13T17:40:03.000Z","published_at":"2025-07-24T18:00:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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