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d andrea f guide penrose tilings 2023

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Textbook in PDF format 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. Introduction Tilings and Puzzles Robinson Triangles Penrose Tilings De Bruijn’s Pentagrids The Noncommutative Space of Penrose Tilings

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D'Andrea F. A Guide to Penrose Tilings 2023.pdf 4.8 MB

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d andrea f guide penrose tilings 2023

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