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A Guide to Penrose Tilings / / by Francesco D'Andrea



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Autore: D'Andrea Francesco Visualizza persona
Titolo: A Guide to Penrose Tilings / / by Francesco D'Andrea Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (203 pages)
Disciplina: 516.132
Soggetto topico: Convex geometry
Discrete geometry
Algebraic geometry
Convex and Discrete Geometry
Algebraic Geometry
Mosaics (Matemàtica)
Soggetto genere / forma: Llibres electrònics
Nota di contenuto: Introduction -- Tilings and puzzles -- Robinson triangles -- Penrose tilings -- De Bruijn’s pentagrids -- The noncommutative space of Penrose tilings.-Some useful formulas.
Sommario/riassunto: This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi-crystals. The purpose of this survey, illustrated with more than 200 figures, is to introduce the curious reader to this beautiful topic and be a reference for some proofs that are not easy to find in the literature. The volume covers many aspects of Penrose tilings, including the study, from the point of view of Connes' Noncommutative Geometry, of the space parameterizing these tilings.
Titolo autorizzato: A Guide to Penrose Tilings  Visualizza cluster
ISBN: 3-031-28428-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910739449003321
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