Symmetry
Groups
Point
Groups
The Seven
Line Groups
viii
2
2How Operations
Generate
Themselves
10
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
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
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