How did they make this Hexagonal Matrix?...

Question

Kalamaya 2012-12-3

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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!

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Answer 1

Sean de Wolski 2012-12-3

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编辑：Sean de Wolski 2012-12-3

在 MATLAB Online 中打开

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

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Answer 2

Matt J 2012-12-3

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编辑：Matt J 2012-12-3

在 MATLAB Online 中打开

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