Marion's Theorem
From Mathematics Learning FB Page:
"Marion's Theorem, also known as Marion Walter's Theorem, states that if you trisect each side of a triangle and connect each trisection point to the opposite vertex, the area of the resulting hexagon in the middle of the triangle is one-tenth the area of the original triangle. This theorem was named after Marion Walter, who discovered it while experimenting with Geometer's Sketchpad with a colleague. Today ( July 30) is 97th BIRTHDAY Anniversary to Marion Walter."
I wanted to see for other ratios, so this applet! 1/5th and 1/12th are also nice values. What's the pattern?