Shoe Lacing Math

shoe laces

How many ways are there to tie your shoes?

Depends on the shoes, but Ian has done some calculations (under certain assumptions) to show there are over 2 trillion ways!

Mathematician, Burkard Polster, published an article in the journal Nature (December 2002) about the mathematics of shoe lacing. His calculation for the number of ‘real-world’ lacing methods (of a shoe with 12 eyelets) is 43,200. He also has a shoe lace book that is published by the AMS.

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