2 papers
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 -sphere correspond to Koebe polyhedra in the Beltrami-Klein model of hyperbolic -space. Koebe polyhedra…
math.MG2020
Non-Euclidean Laguerre geometry and incircular nets
Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann +1
Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized…