by Rob Hocking
Description
When the 3D Menger sponge is sliced with a suitably chosen diagonal plane, a novel 2D fractal is obtained - see for example “Mathematical Impressions: The Surprising Menger Sponge Slice.” https://www.simonsfoundation.org/ 2012/12/10/mathematical-impressions-the-surprising-menger-sponge-slice/.
This begs the question - if a suitably defined 4D generalized Menger sponge is sliced with a suitably chosen hyperplane, might similarly interesting novel 3D fractals be found? This 3D print is the answer.
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