Question 12
A Bomino tile is a 3×3 grid with gray cells. Every gray cell must share an edge or corner with at least one other gray cell. Every gray cell may share an edge with at most one other gray cell. A tile with n gray cells is called n-Bomino. Tiles that become identical by rotating or reflecting the whole tile count as the same. The examples show a 2-Bomino and a 4-Bomino.
How many distinct 3-Bomino tiles are there?
How many distinct 3-Bomino tiles are there?