Large, Symmetric, “7-Around” Hyperbolic Disks

Year: 2015 Authors: Sean Jeng Liu; Young Kim; Raymond Shiau; Carlo H. Séquin

Core claim

A D3-symmetric construction and heuristics allow larger 7-around hyperbolic disk models than prior search-based methods.

Topics

hyperbolic geometry, symmetry, computational modeling, triangle packing

Domains

non-Euclidean geometry, hyperbolic plane, combinatorial geometry, symmetry groups, digital fabrication, mathematical visualization, 3D modeling, generative design

Methods

symmetry reduction, heuristic search, manual construction, proximity checking

Media

equilateral triangles, virtual CAD model, 3-space rendering, animated movie

Source status

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