I played ultimate tonight, and we usually keep score with shoes. Our normal scoring system is to count in base 5. Tonight, I tried to use binary, but at half-time I switched back to base 5 when most of our team struggled to read our score quickly.

I took some pictures of the arrangement of shoes during the game (when I wasn’t playing).








I can imagine some investigations could be made out of these photos.

  • Given the numbers associated with each photo, try and determine how to count in this number system,
  • More challenging: From these photos, try and determine the missing numbers.

If you want a project that might take a while:

  • Design a scoring system using shoes. It should be easy to maintain and not require too many shoes.