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＜電子ブック＞
A Guide to Penrose Tilings / by Francesco D'Andrea

版	1st ed. 2023.
出版者	(Cham : Springer Nature Switzerland : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	VIII, 199 p. 114 illus., 86 illus. in color : online resource
著者標目	*D'Andrea, Francesco author SpringerLink (Online service)
件　名	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Algebraic geometry FREE:Convex and Discrete Geometry FREE:Algebraic Geometry
一般注記	Introduction -- Tilings and puzzles -- Robinson triangles -- Penrose tilings -- De Bruijn’s pentagrids -- The noncommutative space of Penrose tilings.-Some useful formulas 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 HTTP:URL=https://doi.org/10.1007/978-3-031-28428-1

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