Division of a square

I have a square with vertices [0,0,1; 1,0,1; 1,1,1;0,1,1] I want to divide this square into 'n' number of equal squares. Lets say 16 equal squares. Could any one tell me the simplest way to do this?

thanks

Answer 1

[Matt Fig]

I am not sure this is what you mean, but here is a graphical demonstration of what I think you mean.

% Data 
n = 16;  % Divide into n equal squares.
T = [0,0,1; 1,0,1; 1,1,1;0,1,1];
%
%
%
% Do the work:
m = 1/sqrt(n);  % m should be an integer. Possibly add error check.
subplot(1,2,1)
patch(T(:,1),T(:,2),T(:,3),'b')
axis square

subplot(1,2,2)
hold on
SS = cell(1/m,1/m);
for ii = 1:1/m
    for jj = 1:1/m
        M = [T(:,1)*m+(ii-1)*m T(:,2)*m+(jj-1)*m T(:,3)];
        patch(M(:,1),M(:,2),M(:,3),rand)
        SS{ii,jj} = M;  % Hold the arrays for further processing....
    end
end

axis square

Note that if you don't need the graphics, you can just take that out of the loop.

[nand mourya]

thanks matt! I was looking for the same.

[nand mourya]

In the above program, how do I get a list of all the vertices of the squares?

In simple words, I want a matrix ((4*n) X 3) which contains all the vertices.