3 citations · 3 across the 4 of their papers we have counts for
6 papers
Rigidity of Koebe Polyhedra and Inversive Distance Circle Packings
John C. Bowers, Philip L. Bowers, Carl O. R. Lutz
Hyperbolic inversive distance circle packings on the -sphere correspond to Koebe polyhedra in the Beltrami-Klein model of hyperbolic -space. Koebe polyhedra…
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…
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…
Rigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space
John C. Bowers, Philip L. Bowers, Kevin Pratt
We generalize Cauchy's celebrated theorem on the global rigidity of convex polyhedra in Euclidean -space to the context of circle polyhedra in the -sphere $\…
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…
Faster Reductions for Straight Skeletons to Motorcycle Graphs
John C. Bowers
We give an algorithm that reduces the straight skeleton to the motorcycle graph in time for simple polygons and time for a planar straight line gr…