2. #2 on page 338

Set 1: loops with two not-connected tails:

Set 2: loops with two tails that meet at the same point:

Set 3: a loop with a bar:

Set 4: just a line:



G goes in here too, if you draw your G like the one in the book

Set 5: Just a loop:

Set 6: three lines that meet at an endpoint: (if you make your G this way, it fits here)

Set 7: Two lines joined by a line: (Yet another version of G!)

Set 8: A loop with one tail:

Set 9: 4 lines that meet at a common end point:

3. Tell which of the following are equivalent to a and b

 

4. Draw pictures to show how to distort the first thing to be the same as the second in each pair:

 

5. Tell how many 1-verices, 3, vertices etc. each of these things has:

1-vertices: 2
4-vertices: 1

3-vertices: 2

1-vertices: 1
3-vertices: 1

1-vertices: 2
4-vertices: 2

 

6. They are not equivalent by distortion. Counting special vertices should convince you of this. For example, the female symbol has a 4-vertex and the male symbol does not so they can't be equivalent.

5. Draw movie pictures to show how these are equivalent by distortion: