The authors prove existence and rigidity of infinite ideal polyhedra via a uniformization theorem for embedded ideal circle patterns whose type depends on both cellular structure and intersection angles.
On an elementary proof of Rivin’s characterization of convex ideal hyperbolic polyhedra by their dihedral angles
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Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
The authors prove existence and rigidity of infinite ideal polyhedra via a uniformization theorem for embedded ideal circle patterns whose type depends on both cellular structure and intersection angles.