How do I plot a 3D cube in a 3D array?

Hi all,

I was wondering how I can plot a 3D-shape of a cube. I have tried https://in.mathworks.com/matlabcentral/fileexchange/15161-plotcube but this give me a 2D-array, and I cannot seem to get a 3D-array out of it. I have the following code:

array_width=101;%must be odd
outer_cube=create_cube(array_width);
figure; cube=isosurface(outer_cube,0);
patch(cube,'FaceColor',[0 0 .7],'EdgeColor',[0 0 1]);
view(45,45); axis equal; title('Simulation of solid cube');

function cube=create_cube(array_width)
a=(array_width-1)/2;
a=linspace(-a,a,array_width);
[X,Y,Z]=meshgrid(a);
cube=(X.*Y.*Z);
end

But, this give me the following figure:

Can somebody help me out please? Thanks!

Answer 1

[Cris LaPierre]

See this page.

[Cris LaPierre]

array_width=101;%must be odd
[cube, faces]=create_cube(array_width);

figure
patch('Vertices',cube,'Faces',faces,'FaceColor',[0 0 .7],'EdgeColor',[0 0 1]);
view(3) 
axis equal
title('Simulation of solid cube')

function [cube,faces]=create_cube(array_width)
a=(array_width-1)/2;

cube = unique(nchoosek([-a a -a a -a a],3),"rows");
faces = [1 2 4 3;
    5 6 8 7;
    1 2 6 5;
    3 4 8 7;
    1 3 7 5;
    2 4 8 6];
end

[Lieke Pullen]

Hi Cris, thank you for your ellaboration. But, this gives me a 8x3 cube, which is a 2D array, and I would like have a 3D-array. Any idea how to implement that?

[Cris LaPierre]

I would look into slice. To work as I want, I had to adjust your function to return the X,Y,and Z data, too.

array_width=101;%must be odd
[X,Y,Z,outer_cube]=create_cube(array_width);

figure
s = slice(X,Y,Z,outer_cube,[-50 50],[-50 50],[-50 50]);
set(s,'EdgeColor','none')

function [X,Y,Z,cube]=create_cube(array_width)
a=(array_width-1)/2;
a=linspace(-a,a,array_width);
[X,Y,Z]=meshgrid(a);
cube=(X.*Y.*Z);
end

[Cris LaPierre]

Here's another approach

array_width=101;%must be odd
[X,Y,Z,outer_cube]=create_cube(array_width);

figure
k=boundary([X(:),Y(:),Z(:)]);
trisurf(k,X(:),Y(:),Z(:),outer_cube,'EdgeColor','none')

function [X,Y,Z,cube]=create_cube(array_width)
a=(array_width-1)/2;
a=linspace(-a,a,array_width);
[X,Y,Z]=meshgrid(a);
cube=(X.*Y.*Z);
end