Math Trek Math

Lacing Shoes, Revisited

By Ivars Peterson

- More than 2 years ago

What is the best way to lace your shoes? This seemingly simple question, rooted in everyday life, can provoke passionate argument–and prompt a mathematical response.

Three common lacing styles.

Here are some alternative lacings you could try. The first two work only if your shoes have an even number of eyelet pairs. Watch out, though. You might find that by saving shoelace length, you end up with shoes that slip off your feet more easily or laces that break more often.