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© LIBERO v6.4.1sp220816
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A Guide to Penrose Tilings
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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
Links to Related Works
Subject References:
Algebraic Geometry
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Convex and Discrete Geometry
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Convex geometry
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Discrete geometry
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Authors:
author
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D'Andrea, Francesco
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Corporate Authors:
SpringerLink (Online service)
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Classification:
516
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