“I’m gonna introduce a lot of this machinery, and a lot of these techniques…” 0.53

 

“we’re gonna start with this extremely complicated manifold which is a knot or a link complement but we’re gonna chop it into extremely simple pieces, and these are just – balls. With extra information. So polyhedra.” 2.11

 

 

“So what do I mean by this? I mean a ball… with extra information on its boundary” 4.01

 

(5.50 steps away?)

(6.12 thicken it up)

“This plane separates s3 into two balls – so there’s a ball above and a ball below – and these are your two polyhedra.” 6.34

 

“So… you need a little bit more information on how to glue this together” 6.45

 

(You can think of expanding a balloon above and a balloon below… 7.10)

(On this polyhedron that’s coming from above… 7.49)

(they’re gonna be merging into this pink line 7.54)

“They’re gonna correspond to overstrands” 8.22

I like this one just because I’m noticing the way that everything’s focused on the diagram.

 

“you can see that there are a lot of, uh… nice properties of this” 8.58

 

“this is a first composition of a knot into polyhedra” 9.11

 

(If this is your first time seeing that then I’m probably going too fast… (points) 9.45)

She gestures a lot less when she’s drawing a lot.

(you can extend this a little bit… (points) 12.06

12.41 steps away “we’re gonna decompose these into ideal polyhedra…”

(these’re gonna give me shaded faces when I’m all done. 13.22)

 

“I’m gonna shade this in… and then I’m gonna cut along it.” 13.32

 

(pitta bread sliced and cut 13.40)

“When you’ve cut along it notice that you can undo single crossings” 13.55

 

(I can rotate one half of it… 14.18)

(makes it easier to visualise… 15.03)

(the link complement… you can twist a lot, you can put as many crossings in as you want 15.13)

(passes back over previous writing 15.30)

 

I think that’ll do for now. I’ve tried to make notes of everything that might be useful in the future, even if I’m not using it now.