How to generate a smaller regular rectangular by connecting the midpoint of each edge of a larger regular rectangular

Hello..

please help me.., i have homework like pic on bellow:

This is half of my program

clear all;
A=[0,0;1,0;1,1;0,1;0,0]

figure(100)
plot(A(:,1),A(:,2),'-o');
hold on

[Ameer Hamza]

Since you already mentioned that it is a homework question, you need to develop the logic to calculate the corners of the rectangles. If you have any issues in MATLAB syntax, then you can ask here.

[Adam Danz]

There's lots of ways to do this depending on the level of the course you're taking. Here are two sets of hints covering two different methods.

Method 1) Find the half-way point between each segment to get a new corner.

Method 2) Set up a loop with 5 iterations. On each iteration, the 4 coordinates are rotated by 45 degrees and the length of the edges are reduced by a factor of sqrt(2)/2.

[Maria zhou]

Dear Mr.Ameer and Mr. Adam,

Thank you for your advice.

Matlab is new program for me

so this is my simple syntax for my home work. Please, if you have other solution

Thank you.

clear all;
%rectangle 1
A=[0,0;1,0;1,1;0,1;0,0];
figure(6)
plot(A(:,1),A(:,2),'-o');
hold on

%rectangle 2
B=[0.5,0;1,0.5;0.5,1;0,0.5;0.5,0];
figure(6)
plot(B(:,1),B(:,2),'-o');
hold on

%rectangle 3
C=[0.25,0.25;0.75,0.25;0.75,0.75;0.25,0.75;0.25,0.25];
figure(6)
plot(C(:,1),C(:,2),'-o');
hold on

%rectangle 4
D=[0.5,0.25;0.75,0.5;0.5,0.75;0.25,0.5;0.5,0.25];
figure(6)
plot(D(:,1),D(:,2),'-o');
hold on

%rectangle 5
E=[0.375,0.375;0.625,0.375;0.625,0.625;0.375,0.625;0.375,0.375];
figure(6)
plot(E(:,1),E(:,2),'-o');
hold on

%rectangle 6
F=[0.5,0.375;0.625,0.5;0.5,0.625;0.375,0.5;0.5,0.375]
figure(6)
plot(F(:,1),F(:,2),'-o');
hold on

[Adam Danz]

If your assignment is merely to reproduce the image using any method, this approach is fine. If your instructor is expecting to see computations, the approach to hard-coded the vertices may be insufficient.

To make the squares look like squares, set the aspect ratio using

axis equal

at the end of your code.

[Maria zhou]

Thank you sir