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math.GT2023
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…
math.GT2023
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…
math.GT2022★ 4 cited
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…