I
Symmetry
Groups

II
Point
Groups

III
The Seven
Line Groups








Cargo® Demo


About
Mail, IG

1

Basic Operations
2

2

How Operations
Generate
Themselves
10

3

Point Groups
18

4

The Asymmetric
Motif: Group 1
22

5

Bilateral Sym-
metry: Group m
28

6

Playing Cards
and Walnuts:
Groups 2 and
2mm
38

7

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

8

The Swastika and 
the Greek Cross:
Groups 4 and
4mm
58

9

Flowers and
Pentagrams:
Groups 5 and 5m
72

10

Solomon’s Seal and
Snowflakes:
Groups 6 and
6mm
80

11

Stars and Circles:
Point Groups of
Higher Order
84

12

Ducks in a Row:
Group t
96

13

Friday’s Foot-
prints: Group tg
106

14

Reflected
Reflections:
Group tm
118

15

Reflected Sails:
Group mt
126

16

Grand Right and
Left: Group t2
136

17

Reflected Whirls:
Group t2mg
148

Cargo® Demo


About
Mail, IG

I
Symmetry
Groups

II
Point
Groups

III
The Seven
Line Groups




1

Basic Operations
2

2

How Operations
Generate
Themselves
10

3

Point Groups
18

4

The Asymmetric
Motif: Group 1
22

5

Bilateral Sym-
metry: Group m
28

6

Playing Cards
and Walnuts:
Groups 2 and
2mm
38

7

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

8

The Swastika and 
the Greek Cross:
Groups 4 and
4mm
58

9

Flowers and
Pentagrams:
Groups 5 and 5m
72

10

Solomon’s Seal and
Snowflakes:
Groups 6 and
6mm
80

11

Stars and Circles:
Point Groups of
Higher Order
84

12

Ducks in a Row:
Group t
96

13

Friday’s Foot-
prints: Group tg
106

14

Reflected
Reflections:
Group tm
118

15

Reflected Sails:
Group mt
126

16

Grand Right and
Left: Group t2
136

17

Reflected Whirls:
Group t2mg
148


Cargo® Demo2037–2047


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