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Questions about the branch of algebra that deals with groups.

5 votes
0 answers
94 views

Is every space group the symmetry group of some triply periodic minimal surface?

I know that there are a lot of TPMS with different symmetry groups. It seems like every space group is the symmetry group of some TPMS. But I can not find a reference that confirms this for all the …
Hao Chen's user avatar
  • 2,581
16 votes

Is {6,3,7} an 'ultrahyperbolic' Coxeter group?

Actually, every Coxeter system of rank four is either euclidean or hyperbolic. That is, the canonical bilinear form has at most one negative eigenvalue. It follows from the paper Sphere packings and …
Hao Chen's user avatar
  • 2,581