Timeline for Polyhedra with equal faces
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 5 at 8:16 | comment | added | Gerry Myerson | OK, but there's a lot more at that mathoverflow page than that one polyhedron. | |
| Apr 5 at 7:05 | comment | added | Fedor Nilov | Yes, but all faces of this polyhedron are also acute triangles. | |
| Apr 5 at 6:37 | comment | added | Gerry Myerson | E.g., mathworld.wolfram.com/DisdyakisDodecahedron.html | |
| Apr 5 at 6:24 | comment | added | Gerry Myerson | OK, we're on the same page now. Is there anything helpful at mathoverflow.net/questions/376071/… | |
| Apr 5 at 6:18 | comment | added | Fedor Nilov | Yes, but for an arbitrary acute triangle we can construct an isosceles tetrahedra with faces equal to this triangle. The question is for which OTHER triangles we can construct a polyhedron with all faces equal to this triangle? | |
| Apr 5 at 6:11 | comment | added | Gerry Myerson | Why would each face have an obtuse angle? The angles at the apex of a pyramid can be arbitrarily close to zero. | |
| Apr 5 at 6:06 | comment | added | Fedor Nilov | But then we get a polyhedron, each face of which is an isosceles triangle with obtuse angle $<120^{\circ}$. We already have such an example. | |
| Apr 4 at 21:56 | comment | added | Gerry Myerson | Take two identical pyramids with a regular polygonal base and stick the bases together. | |
| Apr 4 at 19:29 | history | edited | Daniel Asimov | CC BY-SA 4.0 |
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| Apr 4 at 14:41 | history | asked | Fedor Nilov | CC BY-SA 4.0 |