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math.GT2026
Spectra of normalized volumes of right-angled hyperbolic polyhedra
A. Egorov, A. Vesnin
We consider three-dimensional hyperbolic polyhedra of finite volume with finitely many vertices. The normalized volume of a polyhedron is the ratio of its volume to the number of v…
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…