Miles of tiles
Material type:
TextSeries: Student mathematical library ; v. 1Publication details: India : Universities Press, 2025. Description: xii, 120 p. ; 22 cmISBN: 9789349750562Subject(s): Tiling (Mathematics)DDC classification: 514.174 Online resources: Table of Contents | Reviews Summary: The common thread throughout this book is aperiodic tilings; the best-known example is the “kite and dart” tiling. This tiling has been widely discussed, particularly since 1984 when it was adopted to model quasicrystals. The presentation uses many different areas of mathematics and physics to analyze the new features of such tilings. Although many people are aware of the existence of aperiodic tilings, and maybe even their origin in a question in logic, not everyone is familiar with their subtleties and the underlying rich mathematical theory. For the interested reader, this book fills that gap.
Understanding this new type of tiling requires an unusual variety of specialties, including ergodic theory, functional analysis, group theory and ring theory from mathematics, and statistical mechanics and wave diffraction from physics. This interdisciplinary approach also leads to new mathematics seemingly unrelated to the tilings. Included are many worked examples and a large number of figures. The book's multidisciplinary approach and extensive use of illustrations make it useful for a broad mathematical audience.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
|
SMS Library | 514.174 RAD-M (Browse shelf(Opens below)) | Available | N490 |
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| 514.17 MAT-L Lectures on discrete geometry | 514.172.2 ABA-C Curves and surfaces | 514.172.4 SCH-C Convex bodies: the brunn-Minkowski theory | 514.174 RAD-M Miles of tiles | 514.35 LOE-E Elliptic curves, modular forms and Iwasawa theory | 514:511.331 LAP-F Fractal geometry, complex dimensions and zeta functions: geometry and spectra of fractal strings | 514:512.642 HIR-P Projective geometries over finite fields |
Includes bibliographical references (p. 113-115) and index.
The common thread throughout this book is aperiodic tilings; the best-known example is the “kite and dart” tiling. This tiling has been widely discussed, particularly since 1984 when it was adopted to model quasicrystals. The presentation uses many different areas of mathematics and physics to analyze the new features of such tilings. Although many people are aware of the existence of aperiodic tilings, and maybe even their origin in a question in logic, not everyone is familiar with their subtleties and the underlying rich mathematical theory. For the interested reader, this book fills that gap.
Understanding this new type of tiling requires an unusual variety of specialties, including ergodic theory, functional analysis, group theory and ring theory from mathematics, and statistical mechanics and wave diffraction from physics. This interdisciplinary approach also leads to new mathematics seemingly unrelated to the tilings. Included are many worked examples and a large number of figures. The book's multidisciplinary approach and extensive use of illustrations make it useful for a broad mathematical audience.
Readership: Advanced undergraduates, graduate students, and research mathematicians.
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