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The triakis tetrahedron fit really is crazy close: https://youtu.be/jDTPBdxmxKw


I don't understand why this is "hard". Doesn't a donut have this coveted property? I can't think of a way to drill a hole in a donut that would allow a donut through.


A donut is nonconvex. The title leaves that very crucial word out.




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