A polykite is a polyform consisting of a finite nonempty edge-connected union of kite cells from a regular triangular grid superposed on its
dual regular hexagonal grid, illustrated above. Cells are joined along complete sides,
and holes are allowed. Pieces are identified under isometries
of this grid (Myers).
The monokite is therefore a quadrilateral (in particular, a kite) having angles , , , and , and edge lengths , , 1/2, and 1/2.
The numbers of polykites with ,
2, ... components are 1, 2, 4, 10, 27, 85, 262, ... (OEIS A057786),
the first few of which are illustrated above.
, 
, 
, and 
, and edge lengths 
, 
, 1/2, and 1/2.
,
2, ... components are 1, 2, 4, 10, 27, 85, 262, ... (OEIS A057786),
the first few of which are illustrated above.
Rangel-Mondragón, J. "Polyominoes and Related Families."
Mathematica J. 9, 609-640, 2005.