paper

Ma-Schlenker c-Octahedra in the 2-Sphere

arXiv:1607.00453

Abstract

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

Ma-Schlenker c-Octahedra in the 2-Sphere · wovepaper