Math

This Is The Fairest Way For Two People To Take Turns

Excited for today's eclipse? Visit our Eclipse 2017 page to explore the science, history, and myths of the event. The Curiosity team will be viewing the eclipse alongside NASA in Carbondale, Illinois. Follow us on Facebook for live videos, trivia, and interviews today!

With the Thue-Morse sequence, people aren't simply taking turns. Rather, they're taking turns taking turns. The sequence distributes "advantage" more equally among the two parties than an alternating sequence, which ensures that the person who picks first has an advantage. It also has several interesting properties unrelated to turn-taking, such as its fractal nature.

Share the knowledge!

Key Facts In This Video

  1. Here's how to use the Thue-Morse sequence to take turns: 00:32

  2. If two people alternate when picking objects, then the person who goes first will always have the advantage. 02:08

  3. The Thue-Morse sequence was independently discovered by a chess Grandmaster who figured out how to play an infinite game of chess. 06:10

If you liked this you'll love our podcast! Check it out on iTunes, Stitcher, Google Play Music, SoundCloud, search 'curiosity' on your favorite podcast app or add the RSS Feed URL.

Advertisement