國立虎尾科技大學 |

A guide to penrose tilings

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A guide to penrose tilings/ by Francesco D'Andrea.
作者:	D'Andrea, Francesco.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	viii, 199 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Algebraic Geometry. -
電子資源:	https://doi.org/10.1007/978-3-031-28428-1
ISBN:	9783031284281

A guide to penrose tilings
D'Andrea, Francesco.

A guide to penrose tilings[electronic resource] /by Francesco D'Andrea. - Cham :Springer Nature Switzerland :2023. - viii, 199 p. :ill. (some col.), digital ;24 cm.

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.

ISBN: 9783031284281

Standard No.: 10.1007/978-3-031-28428-1doiSubjects--Topical Terms:

670184
Algebraic Geometry.

LC Class. No.: QA166.8

Dewey Class. No.: 516.132

A guide to penrose tilings
LDR:01975nam a2200349 a 4500 001 1116304
003 DE-He213
005 20230819153340.0
006 m d
007 cr nn 008maaau
008 240123s2023 sz s 0 eng d
020 $a 9783031284281 $q (electronic bk.)
020 $a 9783031284274 $q (paper)
024 7 $a 10.1007/978-3-031-28428-1 $2 doi
035 $a 978-3-031-28428-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA166.8
072 7 $a PBM $2 bicssc
072 7 $a PBD $2 bicssc
072 7 $a MAT012020 $2 bisacsh
072 7 $a PBM $2 thema
072 7 $a PBD $2 thema
082 0 4 $a 516.132 $2 23
090 $a QA166.8 $b .D178 2023
100 1 $a D'Andrea, Francesco. $3 1429498
245 1 2 $a A guide to penrose tilings $h [electronic resource] / $c by Francesco D'Andrea.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a viii, 199 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- Tilings and puzzles -- Robinson triangles -- Penrose tilings -- De Bruijn's pentagrids -- The noncommutative space of Penrose tilings -- Some useful formulas.
520 $a 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.
650 2 4 $a Algebraic Geometry. $3 670184
650 1 4 $a Convex and Discrete Geometry. $3 672138
650 0 $a Tiling (Mathematics) $3 1429499
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-28428-1
950 $a Mathematics and Statistics (SpringerNature-11649)