"I think its pretty clear from the shape of amethyst gems and from the triple-play clue that we are going back to the hexagon fields with 3 teams. Now for the "Pi, you, and me" part..."
Yes, lets go here. Another definition of Pi
What is pi? It is equal to C/d, or C/2r, where C is the circumference of any circle, and d is its diameter, and r is its radius.
http://www.jimloy.com/geometry/pi.htm
How could circumference fit in?