Expansion complexes for finite subdivision rules. II

DOI10.1090/S1088-4173-06-00127-5zbMath1185.30045OpenAlexW1733890940MaRDI QIDQ3432091

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

Publication date: 13 April 2007

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/s1088-4173-06-00127-5

zbMATH Keywords

conformalityfinite subdivision ruleexpansion complex

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Hyperbolic groups and nonpositively curved groups (20F67) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (8)

Subdivision rules and virtual endomorphisms ⋮ Classification of subdivision rules for geometric groups of low dimension ⋮ Constructing rational maps from subdivision rules ⋮ Conformal tilings I: foundations, theory, and practice ⋮ Expansion properties for finite subdivision rules. I. ⋮ Conformal tilings II: Local isomorphism, hierarchy, and conformal type ⋮ Expansion complexes for finite subdivision rules. I ⋮ Shape convergence for aggregate tiles in conformal tilings

Cites Work

• Combinatorially regular polyomino tilings
• The combinatorial Riemann mapping theorem
• Inflationary tilings with a similarity structure
• Hyperbolic and parabolic packings
• The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
• A “regular” pentagonal tiling of the plane
• Recognizing constant curvature discrete groups in dimension 3
• Finite subdivision rules
• Constructing rational maps from subdivision rules
• Expansion complexes for finite subdivision rules. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Expansion complexes for finite subdivision rules. II