Regular Surfaces and Regular Maps

Year: 2014 Authors: Faniry Razafindrazaka; Konrad Polthier

Core claim

Regular surfaces can be generated directly from regular map symmetry data and embedded in 3D without requiring an existing target realization.

Topics

regular maps, 3D visualization, hyperbolic surfaces, symmetry groups

Domains

group theory, topology, hyperbolic geometry, combinatorics, scientific visualization, computational geometry, interactive 3D modeling

Methods

coset enumeration, boundary identification, physically based relaxation, heuristic matching

Media

hyperbolic 4g-gons, edge graphs, transparent surface renderings

Source status

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