Miles of Tiles (Student Mathematical Library, Vol. 1) (Student Mathematical Library, V. 1) - Softcover

Radin, Charles

Softcover

ISBN 10: 082181933X ISBN 13: 9780821819333

Publisher: Amer Mathematical Society, 1999

Synopsis

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.

About this title

Review:

In this short book, the author discusses several aspects of the theory of "substitution tilings" and "finite type" aperiodic tilings. -- Mathematical Reviews

About this edition

• Publisher: Amer Mathematical Society
• Publication date: 1999
• ISBN 10: 082181933X
• ISBN 13: 9780821819333
• Binding: Paperback
• Number of pages: 120