This past Thanksgiving break, I had the honor of joining Josh G. at his house in NYC, where we feasted for breakfast on some incredibly delicious pumpkin waffles made by Josh’s mom. Unfortunately we soon came to the very last waffle (they were quite delicious)— with me, Josh, and Josh’s sister all ardently laying claim to a piece of it. Of course, we neatly sliced it into nearly-thirds — but they clearly weren’t even thirds.
Thus began the race for Proof of Equal Trisection of Waffles, where Josh and I tried to figure out how to properly trisect the waffle, using only classical implements of geometric construction (additionally, available in Josh’s kitchen), so that everyone got an equal slice. Turns out this is pretty hard. In fact, we later discovered that his has been proved to be impossible!
“Angle trisection is the division of an arbitrary angle into three equal angles. It was one of the three geometric problems of antiquity for which solutions using only compass and straightedge were sought. The problem was algebraically proved impossible by Wantzel (1836).”
Well, in this case, the proof (or would-be proof) is in the waffle-maker:
 via Wolfram’s Mathworld: http://mathworld.wolfram.com/AngleTrisection.html