From:

~~~ ~~~ Subject:

BOOK OF INTEREST

Tilings and Patterns by Branko Grunbaum and G. C. Shephard

from w. h. Freeman and Co, 1987, ISBN 0-7167-1193-1

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FROM THE PREFACE:

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ORGANIZATION OF THE BOOK

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The book falls naturally into two parts. The first, up to and including Chapter

7, can be used as the text for a geometry course at the undergraduate level -

... The first few sections of chapter 1 are fundamental, however, chapter 2

deals mostly with tilings in which the tiles are regular polygons. ... The

general theory of tilings is presented in chapters 3 and 4, these chapters are

rather more technical than the rest of the book, and ... In chapter 5 we

begin our discussion of the theory of patterns; this continues in chapter 7.

...

the second part (chapters 8-12) presents detailed surveys of various aspects of

the subjects of patterns and tilings. These include colored patterns and groups

of color symmetry, tilings by polygons, tilings in which the tiles are unusual

in a topological sense, as well as, a detailed and self-contained account of the

intriguing topic of aperiodic tilings. ...

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TABLE OF CONTENTS

1 BASIC NOTIONS

2 TILINGS BY REGULAR POLYGONS AND STAR POLYGONS

3 WELL-BEHAVED TILINGS

4 THE TOPOLOGY OF TILINGS

5 PATTERNS

6 CLASSIFICATIONS OF TILINGS WITH TRANSIVITY PROPERTIES

7 CLASSIFICATION WITH RESPECT TO SYMMETRIES

8 COLORED PATTERNS AND TILINGS

9 TILINGS BY POLYGONS

10 APERIODIC TILINGS

11 WANG TILES

12 TILINGS WITH UNUSUAL HINDS OF TILES

REFERENCES

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This is a great book on the subject with plenty of pictures for those of us who

can't visualize well.

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