Little Princess Tao wanted to play Ubongo. So we played. (She finished most puzzles in time, and often beat me).
This got me to thinking about polyominoes. I can look at a basic grid arrangement and a set of -ominoes and tell if it's impossible by counting squares, and some arrangements because of parity issues. But I suspect that with some thought I could knock out more possibilities. Are there other tricks? Is there a good reference for the theory behind this that doesn't involve massive math?
The fact that Wikipedia had nothing leads me to believe I'm spelling this wrong, or missing a technical term.