3 papers
math.GT2020
Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem
Philip L. Bowers
This article presents a whirlwind tour of some results surrounding the Koebe-Andre'ev-Thurston Theorem, Bill Thurston's seminal circle packing theorem that appears in Chapter 13 of…
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…