What is the best way to lace your shoes? Dream proof.

A blast from the past. A video about my fun quest to pin down the best ways of lacing mathematical shoes from almost 20 years ago. Lots of pretty and accessible math. Includes a proof that came to me in a dream (and that actually worked)! 0:00 Intro 1:31 What's a mathematical lacing? 4:42 What does "best" mean? 5:15 What is the shortest lacing? Crisscross and bowtie lacings. 8:42 How to prove that the shortest are the shortest? Travelling salesman problem 12:36 What are the longest lacings? Devil and angel