Over the holidays, I was gifted a game called "Kanoodle Extreme". The details of the game are somewhat important, but I think I've managed to abstract them away. The 2D variant of the game (which is what I'm focusing on) has a number of pieces that can be flipped/rotated/etc. A given puzzle will give you a certain amount of a hex-grid board to cover, and a certain number of pieces with which to cover it. See the picture below for …