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A Guide to Penrose Tilings
Buch von Francesco D'Andrea
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Francesco D'Andrea has a master in Theoretical Physics (Univ. Sapienza of Rome) and a Ph.D. in Mathematics (SISSA, Trieste). He is currently an associate professor in Geometry at the University of Naples Federico II. In the past, he has been a junior research fellow at the Erwin Schroedinger Institute of Vienna, a postdoctoral researcher at the Catholic University of Louvain-La-Neuve, Belgium, a visiting professor at IMPAN, Warsaw (Simons Professorship), and at Penn State University, USA (Shapiro Visitor Program).

His main interests are in Connes' noncommutative geometry, C*-algebras, and differential geometry.

Zusammenfassung

Offers an up-to-date survey covering many aspects of Penrose tilings

Unique textbook focused on the mathematics of tilings and proofs

Contains an overview of the tools from noncommutative geometry needed to study the space of Penrose tilings

Inhaltsverzeichnis

Introduction.- Tilings and puzzles.- Robinson triangles.- Penrose tilings.- De Bruijn's pentagrids.- The noncommutative space of Penrose tilings.-Some useful formulas.

Details
Erscheinungsjahr: 2023
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 208
Inhalt: viii
199 S.
28 s/w Illustr.
86 farbige Illustr.
199 p. 114 illus.
86 illus. in color.
ISBN-13: 9783031284274
ISBN-10: 3031284275
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: D'Andrea, Francesco
Auflage: 1st ed. 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Maße: 241 x 160 x 17 mm
Von/Mit: Francesco D'Andrea
Erscheinungsdatum: 20.08.2023
Gewicht: 0,521 kg
preigu-id: 126542478
Über den Autor

Francesco D'Andrea has a master in Theoretical Physics (Univ. Sapienza of Rome) and a Ph.D. in Mathematics (SISSA, Trieste). He is currently an associate professor in Geometry at the University of Naples Federico II. In the past, he has been a junior research fellow at the Erwin Schroedinger Institute of Vienna, a postdoctoral researcher at the Catholic University of Louvain-La-Neuve, Belgium, a visiting professor at IMPAN, Warsaw (Simons Professorship), and at Penn State University, USA (Shapiro Visitor Program).

His main interests are in Connes' noncommutative geometry, C*-algebras, and differential geometry.

Zusammenfassung

Offers an up-to-date survey covering many aspects of Penrose tilings

Unique textbook focused on the mathematics of tilings and proofs

Contains an overview of the tools from noncommutative geometry needed to study the space of Penrose tilings

Inhaltsverzeichnis

Introduction.- Tilings and puzzles.- Robinson triangles.- Penrose tilings.- De Bruijn's pentagrids.- The noncommutative space of Penrose tilings.-Some useful formulas.

Details
Erscheinungsjahr: 2023
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 208
Inhalt: viii
199 S.
28 s/w Illustr.
86 farbige Illustr.
199 p. 114 illus.
86 illus. in color.
ISBN-13: 9783031284274
ISBN-10: 3031284275
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: D'Andrea, Francesco
Auflage: 1st ed. 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Maße: 241 x 160 x 17 mm
Von/Mit: Francesco D'Andrea
Erscheinungsdatum: 20.08.2023
Gewicht: 0,521 kg
preigu-id: 126542478
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