Katie McCallum
This video takes a page from one of my participants' notes, and
animates it. At first the author, a knot theorist, uses drawing as a
method of construction, gradually and systematically piecing
together the tangle that he will be working with. Then the drawing
style shifts; the tangle is redrawn and redrawn, gradually smoothed
and manipulated so that its properties can better be perceived by
the human eye, a far more aesthetic operation. This shows something
of the different functions that drawing can serve in the course of
mathematical work.