A guide to Penrose tilings / Francesco D'Andrea.
D'Andrea, Francesco, author.
2023
QA166.8
Available Online

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Title A guide to Penrose tilings / Francesco D'Andrea.
Author D'Andrea, Francesco, author.
ISBN 9783031284281 (electronic bk.)
3031284283 (electronic bk.)
9783031284274
3031284275
DOI https://doi.org/10.1007/978-3-031-28428-1
Published Cham : Springer, 2023.
Language English
Description 1 online resource (viii, 199 pages) : illustrations (some color)
Item Number 10.1007/978-3-031-28428-1 doi
Call Number QA166.8
Dewey Decimal Classification 516/.132
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 24, 2023).
Available in Other Form Print version: 9783031284274
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All Resources
Introduction
Tilings and puzzles
Robinson triangles
Penrose tilings
De Bruijn's pentagrids
The noncommutative space of Penrose tilings.-Some useful formulas.

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