Ma-Schlenker c-Octahedra in the 2-Sphere

Abstract

We present constructions inspired by the Ma-Schlenker example of~Ma:2012hl that show the non-rigidity of spherical inversive distance circle packings. In contrast to the use in~Ma:2012hl 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.

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