Re: [math-fun] Can an equilateral toroidal polyhedron
23 May
2020
23 May
'20
9:58 a.m.
Fred Lunnon wrote: ----- https://en.wikipedia.org/wiki/Toroidal_polyhedron claims "Stewart toroids" with 32 and 30 faces resp. --- though it's not immediately obvious whether the faces are indeed regular! ----- No, it's not at all obvious (that the triangles can be made equilateral)! In fact there are some triangulated tori embedded in 3-space with only 14 faces, known as Cszásár tori. They look very weird! In fact, there exist triangulated tori in 3-space with 2n faces for all 2n ≥ 14. —Dan
2008
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Dan Asimov