The Symmetries of Things
eBook - PDF

The Symmetries of Things

  1. 448 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Symmetries of Things

About this book

Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry.

Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.

This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

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Yes, you can access The Symmetries of Things by John H. Conway,Heidi Burgiel,Chaim Goodman-Strauss in PDF and/or ePUB format, as well as other popular books in Mathematics & Games in Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
A K Peters/CRC Press
Year
2016
Print ISBN
9781568812205
eBook ISBN
9781439864890
Edition
1
Topic
Mathematics
Subtopic
Games in Mathematics
Index
Mathematics
Examples
and
Exercises
375
Examples
and
Exercises
Try
your
hand
at
verifying
the
couplings
in
the
following
pictures!
1.
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∗·
6
3
1
2)
with
coupling
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1
3
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0
−
.
2.
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.
6
.
3
.
2)
,
with
coupling
0
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0
+
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376
25.
The
184
Composite
Space
Groups
3.
(
∗
6
2
3
2
2
0
)
with
coupling
0
−
2
3
−
0
−
.
4.
(
∗
:6
·
3
·
2)
with
coupling
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2
+
0+
0+
.
5.
(
∗
:6
3
1
2)
with
coupling
1
2
+
1
3
−
0
−
.
6.
(
∗
6
1
3
1
2
1
)
with
coupling
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2
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1
3
−
0
−
.
7.
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6:3:2)
with
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.

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Table of Contents
  7. Preface
  8. Figure Acknowledgments
  9. I: Symmetries of Finite Objects and Plane Repeating Patterns
  10. II: Color Symmetry, Group Theory, and Tilings
  11. III: Repeating Patterns in Other Spaces