Non-rigidity of Spherical Inversive Distance Circle Packings
نویسندگان
چکیده
منابع مشابه
Non-rigidity of Spherical Inversive Distance Circle Packings
We give a counterexample of Bowers-Stephenson's conjecture in the spherical case: spherical inversive distance circle packings are not determined by their inversive distances.
متن کاملLocal Rigidity of Inversive Distance Circle Packing
A Euclidean (or hyperbolic) circle packing on a triangulated closed surface with prescribed inversive distance is locally determined by its cone angles. We prove this by establishing a variational principle.
متن کامل2 00 9 Local Rigidity of Inversive Distance Circle Packing
A Euclidean (or hyperbolic) circle packing on a closed triangulated surface with prescribed inversive distance is locally determined by its cone angles. We prove this by applying a variational principle.
متن کاملRigidity of Infinite (circle) Packings
The nerve of a packing is a graph that encodes its combinatorics. The vertices of the nerve correspond to the packed sets, and an edge occurs between two vertices in the nerve precisely when the corresponding sets of the packing intersect. The nerve of a circle packing and other well-behaved packings, on the sphere or in the plane, is a planar graph. It was an observation of Thurston [Thl, Chap...
متن کامل8 M ar 2 00 9 LOCAL RIGIDITY OF INVERSIVE DISTANCE CIRCLE PACKING
A Euclidean (or hyperbolic) circle packing on a closed triangulated surface with prescribed inversive distance is locally determined by its cone angles. We prove this by applying a variational principle.
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2012
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-012-9399-3