A few years ago, recreational mathematician, Vi Hart, declared October “Fexagon Month” in honor of Martin Gardner. Gardner, born October 21, 1914, wrote a monthly column on “recreational mathematics” for Scientific American from 1965 to 1981, and it all began with his article on hexaflexagons in the December 1956 issue.
A flexagon is a flat model that can be flexed or folded to reveal faces besides the two that were originally on the front and back. Watch these two videos from Vi Hart to learn more about the history of flexagons and how they work:
Flexagons are very cool to make and fun to play with. You can try making your own hexaflexagon from a strip of paper like Vi Hart shows in her video, or you can go to one of the tons of websites with colorful, printable templates that you can print out and fold according to the directions. Here are just a few:
You can even make a flexagon template using your own photos using the tool here.