A polyrhomb is a polyform consisting of a finite nonempty edge-connected union of congruent nonsquare rhombi
from a rhombic grid, illustrated above. Cells are joined along complete sides, and
holes are allowed. The division into cells is retained, and pieces are identified
under translations, rotations,
and reflections that preserve the grid.
The numbers of polyrhombs with , 2, ... components are 1, 1, 3, 7, 20, 62, 204, ... (OEIS
A056783), the first few of which are illustrated
above.