Topics from today's class:
- Rational knots/links
- Conway's square dance
- Algebraic tangles
- Pretzel knots
- Graphs and planar graphs
- 2.18, 2.19, 2.21, 2.22
- Pet knot: the Appendix has the Conway notation for your knot
- On paper
- Draw a projection of your knot from the Conway notation (as Adams did in Figure 2.24)
- If this projection does not look like the standard projection of your knot, then show that it is the same as the standard projection by giving a sequence of pictures
- On the wiki
- Give the Conway notation for your knot and draw the projection that you obtained above (put this picture in the "justification" box)
- You do not have to put the sequence of pictures on the wiki
- On paper
Read for next class:
- Please let me know by email whether you can go to the EPaDel MAA conference on Saturday, March 26.
- Here are the details: The Quaternions — From Sir William Rowan Hamilton to Modern Physics and Topology, Lou Kauffman, University of Illinois at Chicago
- I am not requiring you to go, but I strongly urging you to go. Lou Kauffman is a major figure in Knot Theory. This will be an exciting opportunity. The department will pay for registration and lunch.
- Here is a website with more information about the conference, including an abstract for the talk and a biography of Kauffman: EPaDel
- We can talk about the departure and return times in class on Monday.