If one of a, b is zero, the badge reduces to a triangle. (If both a, b are zero, the badge vanishes.)
Given a polyiamond, how few copies of it can be joined to form a badge with optional isolated moniamond holes that do not touch the perimeter of the badge?
Here I show minimal known holey badge tilings for polyiamonds with up through 7 cells. If you find a smaller solution or solve an unsolved case, please write.
[ Moniamond [ Diamond | Triamond | Tetriamonds | Pentiamonds | Hexiamonds | Heptiamonds ]
Last revised 2026-08-13.