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Mathematical Impressions: The Surprising Menger Sponge Slice [Video]

What happens when this well-studied cube-like fractal is sliced on a diagonal plane? Try to predict the solution the puzzle before minute 3:25 in this video

From Simons Science News (find original story here).

The Menger Sponge, a well-studied fractal, was first described in the 1920s. The fractal is cube-like, yet its cross section is quite surprising. What happens when it is sliced on a diagonal plane? Try to predict the solution to the puzzle proposed in this video.

 

References:

The Menger Sponge (Wikipedia page)

Photo by Sébastien Pérez-Duarte

Related:

More videos from the Mathematical Impressions series.

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