4 citations · 4 across the 4 of their papers we have counts for
5 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…
Decorated discrete conformal equivalence in non-Euclidean geometries
Alexander I. Bobenko, Carl O. R. Lutz
We introduce decorated piecewise hyperbolic and spherical surfaces and discuss their discrete conformal equivalence. A decoration is a choice of circle about each vertex of the sur…
Decorated discrete conformal maps and convex polyhedral cusps
Alexander I. Bobenko, Carl O. R. Lutz
We discuss a notion of discrete conformal equivalence for decorated piecewise euclidean surfaces (PE-surface), that is, PE-surfaces with a choice of circle about each vertex. It is…
Canonical tessellations of decorated hyperbolic surfaces
Carl O. R. Lutz
A decoration of a hyperbolic surface of finite type is a choice of circle, horocycle or hypercycle about each cone-point, cusp or flare of the surface, respectively. In this articl…
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…