A polyiamond is a polyform consisting of a collection of equal-sized equilateral triangles arranged
with coincident sides. Polyiamonds are sometimes simply known as iamonds.
The number of two-sided (i.e., can be picked up and flipped, so mirror image pieces are considered identical) polyiamonds made up of triangles are 1, 1, 1, 3, 4, 12, 24, 66, 160, 448, ... (OEIS
A000577). The number of one-sided polyiamonds
composed of
triangles are 1, 1, 1, 4, 6, 19, 43, 121, ... (OEIS A006534).
One of the 160 9-polyiamonds has a hole (Gardner 1984, p. 174).
The numbers of -polyiamonds
with holes for ,
10, 11, ... are 1, 4, 25, 108, 450, ... (OEIS A070764;
Myers), the first few of which are illustrated above.