Ma–Schlenker c-Octahedra in the 2-Sphere

We present constructions inspired by the Ma–Schlenker example of “Non-rigidity of spherical inversive distance circle packings” (Discrete Comput Geom 47(3):610–617, 2012 ). In contrast to the use in Ma and Schlenker ( 2012 ) of an infinitesimally flexible Euclidean polyhedron, embeddings in de Sitte...

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Veröffentlicht in:	Discrete & computational geometry 2018-07, Vol.60 (1), p.9-26
Hauptverfasser:	Bowers, John C, Bowers, Philip L
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computational Mathematics and Numerical Analysis Euclidean geometry Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We present constructions inspired by the Ma–Schlenker example of “Non-rigidity of spherical inversive distance circle packings” (Discrete Comput Geom 47(3):610–617, 2012 ). In contrast to the use in Ma and Schlenker ( 2012 ) of an infinitesimally flexible Euclidean polyhedron, embeddings in de Sitter space, and Pogorelov maps, our elementary constructions use only the inversive geometry of the 2-sphere.
ISSN:	0179-5376 1432-0444
DOI:	10.1007/s00454-017-9928-1