Received: from ARDEC-LCSS.ARPA.ARPA (TCP 30003004013) by AI.AI.MIT.EDU 25 Aug 87 15:14:27 EDT
Date: 25 Aug 87 14:58:00 EST
From: "CLSTR1::BECK"
Subject: TILING BOOKS
To: "cube-lovers"
Reply-To: "CLSTR1::BECK"
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.
beckardec-lcss.arpa
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