Iterated inversion system: an algorithm for efficiently visualizing Kleinian groups and extending the possibilities of fractal art

DOI10.1080/17513472.2021.1943998zbMath1472.28010OpenAlexW3178542086MaRDI QIDQ5162101

Kento Nakamura

Publication date: 1 November 2021

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

Full work available at URL: https://doi.org/10.1080/17513472.2021.1943998

zbMATH Keywords

visualizationfractalsKleinian groupscircle inversionsphere inversion

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Fractals (28A80) Mathematics and visual arts (00A66)

Uses Software

• 3dprintmath

Cites Work

• Unnamed Item
• On limit sets of 4-dimensional Kleinian groups with 3 generators
• Hyperbolization of Euclidean ornaments
• Visualizing hyperbolic honeycombs
• Indra's Pearls
• Hyperbolic Manifolds

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