108 citations · 399 across the 43 of their papers we have counts for
4 papers · 2 filters
On compact hyperbolic Coxeter d-polytopes with d+4 facets
Anna Felikson, Pavel Tumarkin
We show that there is no compact hyperbolic Coxeter d-polytope with d+4 facets for d>7. This bound is sharp: examples of such polytopes up to dimension 7 were found by Bugaenko (19…
On the volume of a six-dimensional polytope
Anna Felikson, Pavel Tumarkin
This note is a comment to the paper by D.R.Heath-Brown and B.Z.Moroz (Math Proc. Camb. Phil. Soc. 125 (1999)). That paper concerns with the projective surface in $\mathbb{P}^{3…
Euclidean simplices generating discrete reflection groups
Anna Felikson, Pavel Tumarkin
Let be a convex polytope in the Euclidean space $\E^n$. Consider the group generated by reflections in the facets of . We say that {\it generates a reflection grou…
On simple ideal hyperbolic Coxeter polytopes
Anna Felikson, Pavel Tumarkin
A polytope in the hyperbolic space $\H^n$ is called an {\it ideal polytope} if all its vertices belong to the boundary of $\H^n$. We prove that no simple ideal Coxeter polytope exi…