Simons Foundation

Mathematical Impressions: The Surprising Menger Sponge Slice

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?

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

More videos from the Mathematical Impressions series.