A Leap-Frog Puzzle using Vectors (VIDEO!)
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.