Philip L. Bowers

activity

20162026

most citedRigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space

3 citations · 5 across the 5 of their papers we have counts for

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math.MG2026

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 $2$ -sphere correspond to Koebe polyhedra in the Beltrami-Klein model $B^{3}$ of hyperbolic $3$ -space. Koebe polyhedra…

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 $E^{2}$ , as well as the infinitesimal inversive rigidity…

math.MG2017★ 3 cited

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 $3$ -space $E^{3}$ to the context of circle polyhedra in the $2$ -sphere $\…