A polyrect is a polyform consisting of a finite nonempty edge-connected union of congruent nonsquare rectangles from a rectangular grid, illustrated above. Cells are joined along complete sides, and holes are allowed. The cell divisions are retained when identifying pieces under translations, half-turns, and reflections. A quarter-turn is not a symmetry of the rectangular cell grid.
The numbers of polyrects with 
, 2, ... components are 1, 2,
3, 9, 21, 68, 208, ... (OEIS A056780), the
first few of which are illustrated above.
