A polystick is a polyform consisting of a finite nonempty connected union of unit line segments that are edges of a regular grid. Segments meet at their endpoints, and closed loops are allowed. Pieces are identified under translations, rotations, and reflections that preserve the grid. Polysticks are sometimes also known as polyedges.
Square polysticks are polyforms obtained from the edges of a regular square grid, illustrated above.
The numbers of square polysticks with 
, 2, ... components are 1, 2, 5, 16, 55, 222, 950, 4265,
... (OEIS A019988), the first few of which
are illustrated above.
Triangular polysticks are polyforms obtained from the edges of a regular triangular grid, illustrated above.
The numbers of triangular polysticks with 
, 2, ... components are 1, 3, 12, 60, 375, 2613, 19074, 143660,
... (OEIS A159867), the first few of which
are illustrated above.
