Ma–Schlenker c-Octahedra in the 2-Sphere

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Abstract

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.

Keywords

Inversive geometry Circle packing Circle octahedra 

Mathematics Subject Classification

52C26 

References

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Department of Computer ScienceJames Madison UniversityHarrisonburgUSA
  2. 2.Department of MathematicsThe Florida State UniversityTallahasseeUSA

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