Uploaded January 2011 | Updated September 2026, 3 weeks ago

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Choose any three points A, B and C in the plane. Starting anywhere you like on the page, "leapfrog" over the point A to land on the other side of A the same distance from it as you started. Now leapfrog over B, and then C, and then A again, and then B again and finally C again. Something astounding happens!

This video briefly explains the mathematics of what you encounter using Tanton's non-traditional approach to vectors. (It might be worth watching the "What is a vector" video too.) Plus, I pose a couple more puzzlers to ponder upon.

Have fun!