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Generalizing Andreev's Theorem via circle patterns
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In this paper we derive an extended Circle Pattern Theorem that allows obtuse overlap angles. As a consequence, we characterize a subclass of compact convex hyperbolic polyhedra with possibly obtuse dihedral angles and thus generalize Andreev's Theorem. For proofs of these results, we establish a discrete analog of the "weak solution/regularity theory" scheme.
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Cited by 1 Pith paper
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Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
This paper proves new convergence results for infinite combinatorial Ricci flow on ideal circle patterns, but the claimed existence of infinite ideal hyperbolic polyhedra is not yet established.
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