Hacker Cinema
Not Knot
1990 · Film · documentary · 17 min
Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.
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I did some wacky inside-out pics of planets years ago, inspired by the inside-out Mandelbrot set looking like a leaf/teardrop.
https://www.adamponting.com/inside-out/
Related: Not Knot, 1991 Thurston-ish short film about knots and knot complements - "the space where the knot isn't".
https://www.youtube.com/watch?v=zd_HGjH7QZo
https://en.wikipedia.org/wiki/Not_Knot
https://en.wikipedia.org/wiki/Knot_complement