Conformal tilings I: foundations, theory, and practice
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Publication:2968479
DOI10.1090/ecgd/304zbMath1364.52013OpenAlexW2570782240MaRDI QIDQ2968479
Philip L. Bowers, Kenneth Stephenson
Publication date: 16 March 2017
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/304
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Circle packings and discrete conformal geometry (52C26)
Related Items (4)
A linearized circle packing algorithm ⋮ Conformal tilings II: Local isomorphism, hierarchy, and conformal type ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem ⋮ Shape convergence for aggregate tiles in conformal tilings
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Cites Work
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- The Brownian map is the scaling limit of uniform random plane quadrangulations
- On the Riemann surface type of random planar maps
- \(C^*\)-algebras of Penrose hyperbolic tilings
- Uniformization of Sierpiński carpets in the plane
- Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\)
- The convergence of circle packings to the Riemann mapping
- A primer of substitution tilings of the Euclidean plane
- Pentaplexity. A class of non-periodic tilings of the plane
- The pinwheel tilings of the plane
- The combinatorial Riemann mapping theorem
- Uniform infinite planar triangulations
- The inverse Riemann mapping theorem for relative circle domains
- Recurrence of planar graph limits
- Circle packings in surfaces of finite type: An in situ approach with applications to moduli
- Limit shapes and the complex Burgers equation
- Bounded outdegree and extremal length on discrete Riemann surfaces
- Convex Representations of Graphs
- Expansion complexes for finite subdivision rules. II
- The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense
- A “regular” pentagonal tiling of the plane
- Uniformizing dessins and Belyĭ maps via circle packing
- Conformal tilings II: Local isomorphism, hierarchy, and conformal type
- Expansion complexes for finite subdivision rules. I
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