Finite subdivision rules

DOI10.1090/S1088-4173-01-00055-8zbMath1060.20037OpenAlexW1896258164MaRDI QIDQ4547432

James W. Cannon, Walter R. Parry, William J. Floyd

Publication date: 21 August 2002

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-01-00055-8

zbMATH Keywords

hyperbolic spaceshyperbolic groupsfinite generating setsdiscrete groupsconformalityfinite subdivision rulescombinatorial Riemann mapping theoremcocompact actionsboundary spaces at infinitycombinatorial asymptotic geometry

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Circle packings and discrete conformal geometry (52C26)

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Uses Software

• SnapPea

Cites Work

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• Superfigures replicating with polar symmetry
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• A “regular” pentagonal tiling of the plane
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