A polyiamond badge is a six-sided polyiamond whose alternate sides have equal length. It is a truncated equilateral triangle. A regular hexagon and an equilateral triangle are special cases of badges.
Here I show the smallest known badges that can be tiled by copies of two heptiamonds, using at least one of each. If you find a smaller solution, please write.
Carl Schwenke and Johann Schwenke contributed a new solution and some smaller solutions.
See also:
Last revised 2025-05-31.