10 Jun
2020
10 Jun
'20
9:27 a.m.
On 10/06/2020 16:01, Veit Elser wrote:
I think your negative F, E, V counts come from insisting the surface has Euler characteristic 2.
Yes, that's right. I know that you can construct regular-polyhedron-like things (e.g., that cubical foam) if you drop that assumption; the question, though, is whether one can make any sense of the negative solutions to the equations you get if you keep the genus-0/characteristic-2 assumption. (Well, I had some other questions too, but that's the original one.)
Just think, if Kepler had known about the two infinite regular polyhedra he probably would not have proposed that silly model of the solar system.
He might have proposed an even sillier one instead... -- g