I
Symmetry
Groups
II
Point
Groups
III
The Seven
Line Groups







ContentsPreface
viii

1Basic Operations
2

2How Operations
Generate
Themselves
10
3Point Groups
18

4The Asymmetric
Motif: Group 1
22

5Bilateral Sym-
metry: Group m
28

6Playing Cards
and Walnuts:
Groups 2 and
2mm
38

7The Triskelion
and the Green
Pepper: Groups 3 
and 3m
52

8The Swastika and
the Greek Cross:
Groups 4 and
4mm
58
9Flowers and
Pentagrams:
Groups 5 and 5m
72

10Solomon's Seal and Snowflakes:
Groups 6 and
6mm
80

11Stars and Circles:
Point Groups of
Higher Order
84

12Ducks in a Row:
Group t
96

13Friday's Foot-
prints: Group tg
106

14Reflected
Reflections:
Group tm
118

15Reflected Sails:
Group mt
126

16Grand Right and
Left: Group t2
136

17Reflected Whirls:
Group t2mg
148