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math.MG2026
A note on right-angled, ideal hyperbolic polyhedra
Ian Whitehead
We prove a necessary and sufficient condition for an abstract polyhedron to be realized as a right-angled, ideal polyhedron in hyperbolic space.
math.MG2026
Arithmetic Polyhedra
Daniel Allcock, Pat Devlin, Anna Felikson +2
The Koebe-Andreev-Thurston theorem assigns a 3-dimensional hyperbolic reflection group to each combinatorial polyhedron. A natural question is: which of them are arithmetic? In 201…