Tuesday, January 1, 2013

What happens when you slice a Menger Sponge diagonally?

I decided to post something fun for the new year. A Menger sponge is a fractal which is similar to a Sierpinski triangle, except you start with a cube instead of a triangle. In both fractals, you cut out the middle of the shape in such a way that you leave a number of parts that are a smaller version of the shape you started with, and repeat to infinity.

So I stumbled across a video where cross sections of the Menger sponge are taken. The results are neat and surprising. Check it out :)


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