Tilings and Patterns Book
This is the best math book i ever enjoyed. Read 2/3 of it word by word twice around 1997 to 1998
It is easy reading, but also technical and deep. It is essentially the encyclopedia on the subject.
Table of Contents
- Preface to the Dover Edition v
- Preface vii
- Introduction 1
- 1 Basic Notions 15
- 2 Tilings by Regular Polygons and Star Polygons 57
- 3 Well-Behaved Tilings 113
- 4 The Topology of Tilings 165
- 5 Patterns 203
- 6 Classifications of Tilings with Transitivity Properties 267
- 7 Classification with Respect to Symmetries 335
- 8 Colored Patterns and Tilings 401
- 9 Tilings by Polygons 471
- 10 Aperiodic Tilings 519
- 11 Wang Tiles 583
- 12 Tilings with Unusual Kinds of Tiles 609
- Appendix 653
- References 663
- Index 705
it's out of print, but Dover reprinted it.
i wrote some notes, but incomplet Reading Notes on Tilings and Patterns
The definitive book on tiling and geometric patterns, this magnificently illustrated volume features 520 figures and more than 100 tables. Accessible to anyone with a grasp of geometry, it offers numerous graphic examples of two-dimensional spaces covered with interlocking figures, in addition to related problems and references.
Suitable for geometry courses as well as independent study, this inspiring book is geared toward students, professional mathematicians, and readers interested in patterns and shapes ― artists, architects, and crystallographers, among others. Along with helpful examples from mathematics and geometry, it draws upon models from fields as diverse as crystallography, virology, art, philosophy, and quilting. The self-contained chapters need not be read in sequence, and each concludes with an excellent selection of notes and references. The first seven chapters can be used as a classroom text, and the final five contain fascinating browsing material, including detailed surveys of color patterns, groups of color symmetry, and tilings by polygons. The authors have also added a new Preface and Appendix to this second edition.