02659nam 22005655 450 991073944900332120240619152818.03-031-28428-310.1007/978-3-031-28428-1(MiAaPQ)EBC30713768(Au-PeEL)EBL30713768(DE-He213)978-3-031-28428-1(PPN)272271330(CKB)28005036600041(EXLCZ)992800503660004120230819d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Guide to Penrose Tilings /by Francesco D'Andrea1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (203 pages)Print version: D'Andrea, Francesco A Guide to Penrose Tilings Cham : Springer,c2023 9783031284274 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.Convex geometryDiscrete geometryAlgebraic geometryConvex and Discrete GeometryAlgebraic GeometryMosaics (Matemàtica)thubLlibres electrònicsthubConvex geometry.Discrete geometry.Algebraic geometry.Convex and Discrete Geometry.Algebraic Geometry.Mosaics (Matemàtica)516.132D'Andrea Francesco545861MiAaPQMiAaPQMiAaPQBOOK9910739449003321A Guide to Penrose Tilings3553881UNINA