3 papers
math.MG2020
A proof of the Koebe-Andre'ev-Thurston theorem via flow from tangency packings
John C. Bowers
Recently, Connelly and Gortler gave a novel proof of the circle packing theorem for tangency packings by introducing a hybrid combinatorial-geometric operation, flip-and-flow, that…
math.MG2018
Almost all circle polyhedra are rigid
John C. Bowers, Philip L. Bowers, Kevin Pratt
We verify the infinitesimal inversive rigidity of almost all triangulated circle polyhedra in the Euclidean plane , as well as the infinitesimal inversive rigidity…
math.DG2016
Ma-Schlenker c-Octahedra in the 2-Sphere
John C. Bowers, Philip L. Bowers
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…