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 |
3-vertices: 2 |
1-vertices: 1 |
1-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: