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.
Des immersions isom´ etriques de surfaces aux vari´ et´ es hyper- boliques ` a bord convexe
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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.