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A Guide to Penrose Tilings

A Guide to Penrose Tilings
Catalogue Information
Field name Details
Dewey Class 516
Title A Guide to Penrose Tilings (EBook /) / by Francesco D'Andrea.
Author D'Andrea, Francesco
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2023.
Publication Cham : : Springer Nature Switzerland : : Imprint: Springer, , 2023.
Physical Details VIII, 199 p. 114 illus., 86 illus. in color. : online resource.
ISBN 9783031284281
Summary Note 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.:
Contents note Introduction -- Tilings and puzzles -- Robinson triangles -- Penrose tilings -- De Bruijn’s pentagrids -- The noncommutative space of Penrose tilings.-Some useful formulas.
Mode of acces to digital resource Digital reproduction.-
Cham :
Springer International Publishing,
2023. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-031-28428-1
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