Conformal tilings II: Local isomorphism, hierarchy, and conformal type

DOI10.1090/ecgd/333zbMath1429.52023OpenAlexW2940626829WikidataQ127992095 ScholiaQ127992095MaRDI QIDQ4968242

Kenneth Stephenson, Philip L. Bowers

Publication date: 12 July 2019

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/ecgd/333

zbMATH Keywords

hierarchiessubdivision rulesconformal tilings

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Combinatorial complexity of geometric structures (52C45) Circle packings and discrete conformal geometry (52C26)

Related Items (2)

Conformal tilings I: foundations, theory, and practice ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(C^*\)-algebras of Penrose hyperbolic tilings
• Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\)
• A primer of substitution tilings of the Euclidean plane
• Matching rules and substitution tilings
• Nonperiodicity implies unique composition for self-similar translationally finite tilings
• The pinwheel tilings of the plane
• The combinatorial Riemann mapping theorem
• Conformal tilings I: foundations, theory, and practice
• Expansion complexes for finite subdivision rules. II
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• Dynamics of self-similar tilings
• A “regular” pentagonal tiling of the plane
• Uniformizing dessins and Belyĭ maps via circle packing
• Constructing rational maps from subdivision rules
• Expansion complexes for finite subdivision rules. I

This page was built for publication: Conformal tilings II: Local isomorphism, hierarchy, and conformal type