2 papers
math.CO2026
On lower bounds for the number of ideal and finite vertices of right-angled hyperbolic polyhedra in dimensions from 5 to 12
Andrey Egorov
We investigate lower bounds for the number of ideal and finite vertices of right-angled hyperbolic polyhedra of finite volume. We use a geometric method of orthogonal gluings to es…
math.GT2025
The minimal covolume right-angled Coxeter group in hyperbolic 3-space
A. Egorov, A. Vesnin
We prove that among all right-angled Coxeter groups in hyperbolic 3-space, the group generated by reflections in the faces of a right-angled triangular bipyramid with three ideal a…