Randomness and topological invariants in pentagonal tiling spaces

DOI10.1155/2011/946913zbMath1252.52017OpenAlexW1999241746WikidataQ58655569 ScholiaQ58655569MaRDI QIDQ659561

Juan García Escudero

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/946913

zbMATH Keywords

topological invariantsaperiodic tilingssubstitution tiling spaces with fivefold symmetrytile rearrangements

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (6)

Threefolds from Solutions of a Partial Differential Equation ⋮ Deltoid tangents with evenly distributed orientations and random tilings ⋮ The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces ⋮ Rotationally symmetric tilings with convex pentagons and hexagons ⋮ Substitutions with vanishing rotationally invariant first cohomology ⋮ A computer search for planar substitution tilings with \(n\)-fold rotational symmetry

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