Wild knots

A video about some infinitely complicated, fractal knots.

The paper by Ralph Fox is:
"A remarkable simple closed curve", Ann. of Math., (2) 50, 264-265.
https://www.jstor.org/stable/1969450

Hsin-Po Wang (Instagram: symbolone1) came up with this awesome animation of undoing the wild slipknot (which is, of course, impossible):
https://www.desmos.com/3d/ng4mkltbi3

Wild knot:
Shapeways - http://shpws.me/TL3p
Printables - https://www.printables.com/model/8891...

Wild slipknot:
Shapeways - http://shpws.me/TL3q
Printables - https://www.printables.com/model/8897...

Background music by Quiet Bison:
https://open.spotify.com/artist/5Pmma...
Instagram: quietbison

The Achilles image is from https://en.wikipedia.org/wiki/Achille...

• #education
• #math
• #mathematics
• #3d_printing
• #knots
• #fractals