Comments on: Reversible Tetrahedra
https://blog.tanyakhovanova.com/2022/03/reversible-tetrahedra/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Mon, 14 Mar 2022 00:01:51 +0000
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By: The reversible tetrahedron – The nth Root
https://blog.tanyakhovanova.com/2022/03/reversible-tetrahedra/#comment-13393
Mon, 14 Mar 2022 00:01:51 +0000https://blog.tanyakhovanova.com/?p=1600#comment-13393[…] If the four faces of a tetrahedron all have the same perimeter, then the tetrahedron is a disphenoid. If the four faces of a tetrahedron all have the same area, then the tetrahedron is a disphenoid. Disphenoids have three nontrivial symmetries: 180-degree rotations around three lines connecting the midpoints of opposite edges. … (Tanya Khovanova’s Math Blog) […]
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By: Igor
https://blog.tanyakhovanova.com/2022/03/reversible-tetrahedra/#comment-13391
Fri, 11 Mar 2022 22:47:44 +0000https://blog.tanyakhovanova.com/?p=1600#comment-13391Well, the volume of a tetrahedron is always a square root of a polynomial in squared edge-lengths. See for example this spelled out in Sabitov’s paper, equation (4):