Visualizing hyperbolic honeycombs

DOI10.1080/17513472.2016.1263789zbMath1405.52022arXiv1511.02851OpenAlexW2964268401MaRDI QIDQ4625172

Roice Nelson, Henry Segerman

Publication date: 21 February 2019

Published in: Journal of Mathematics and the Arts (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02851

zbMATH Keywords

visualizationCoxeter groupspolytopestilingshyperbolic geometryfractalsreflection groupsKleinian groupstessellationshoneycombsApollonian gasket3D printingSchläfli symbols

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Mathematics and visual arts (00A66)

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Cohomology fractals, Cannon–Thurston maps, and the geodesic flow ⋮ Ray-Marching Thurston Geometries ⋮ Iterated inversion system: an algorithm for efficiently visualizing Kleinian groups and extending the possibilities of fractal art

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