Topics from today's class:
- Rational tangles
- Conway's description of rational tangles
- Continued fractions
- 2.10, 2.12, 2.13, 2.14
Read for next class:
Write one sentence about the reading assignment. You cannot repeat what another student has posted.
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I thought the process of going from the signed planar graph to the knot projection was a little difficult to follow.
I'm curious as to how any projection of a link can be turned into shaded/checker representations.
At the end of the section, Adams alludes to the notion that the signed planar graphs of knots may be useful to determine whether two knot projections are equivalent. However, does the overall sign of a graph stay the same when the Reidemeister moves of the associated knot projection occur? Is it easy to tell, looking at two signed graphs, when they are unequivalent?
I had some trouble recognizing the signs (+and-) of the knot of Figure 2.37
I wonder if there is a simpler equivalence relation between signed planar graphs (via the translated Reidemeister moves) than there is for knots.