euler.slu.edueuler.slu.edu/~rainbolt/FullManual.pdf · In addition, comments made by Russell Blyth, Peter Brooksbank, Allen Hibbard, David Jackson, and Charles Wright have led to

Copyright 2006 byHoughton Mifflin

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14

Rotation by270 degrees

Rotation by180 degrees

Rotation by90 degrees

Identity

Horizontal Reflection

Vertical Reflection

Diagonal Reflection

2

4

3

1

3

1 4

2 3

4 3

DiagonalReflection

Figure 1.2

Figure 1.1

( ) (1,2,3,4) (1,3)(2,4) (1,4,3,2)

(1,4)(2,3) (2,4) (1,3)(1,2)(3,4)

3 2

4 1

2 1

3 4

1 4

2 3

4

1

3

2

4 1

3 2

2 3

1 4

3 4

2 1

1 2

4 3

4 1

23

Copyright 2006 byHoughton Mifflin

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2

34

6

5

1

Figure 5.1

146

5 23

Figure 5.2

Figure 5.4

1

3

4

6

8

7

2

5

126

5 34

Figure 5.3

1

2 3

4

5 61

23

4

5

6

8

7

1

2 3

4

5

6

7 8

9

10

1

2

3 4

5

6

7

8

9 10

11

12

Chapter 27 Figures