How did they make this Hexagonal Matrix?...

Hi, Im trying to figure out how the following figure was generated using MATLAB, in this video.

Specifically, how did they make the hexagonal cell matrix that is being shown here? I am really not sure where to even begin learning about this technique... Thanks!

Answer 1

[Sean de Wolski]

Probably by making lots of little hexagonal patches.

doc patch

For more information.

More because Matt J motivated me to try it, lopsided non-aligned patches!

x1 = [0.5 1 1.5 1 0.5 0];
y1 = [0 0 0.5 1 1 0.5];

n = 10;
xd = bsxfun(@plus,x1,(1:1.5:n*1.5)');
yd = bsxfun(@plus,y1,(1:1.5:n*1.5)');

for ii = 1:n
    for jj = 1:n
        patch('XData',xd(ii,:),'YData',yd(jj,:),'FaceColor',rand(1,3))
    end
end

Answer 2

[Matt J]

Building upon Sean's remark, it might look something like this

    [x,y]=ndgrid(1:42,1:42);
    idx=logical(mod(y,2));
    x(idx)=x(idx)+.5;
    [v,c] = voronoin([x(:),y(:)]);

    clf

    for i=1:length(c)
       patch('XData',v(c{i},1),'YData',v(c{i},2),...
             'EdgeColor','b','FaceColor',[255 182 193]/255) 
    end