Polykites are polyforms obtained from a regular triangular grid superposed on a regular hexagonal grid (its dual), illustrated above.

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, ... (Sloane's A057786), the first few of which are illustrated above.

Owen, B. "Polykites." http://members.optusnet.com.au/polyforms/2dforms/polykites/.

Pegg, E. Jr. "Polyform Patterns." In Tribute to a Mathemagician (Ed. B. Cipra, E. D. Demaine, M. L. Demaine, and T. Rodgers). Wellesley, MA: A K Peters, pp. 119-125, 2004.

Sloane, N. J. A. Sequence A057786 in "The On-Line Encyclopedia of Integer Sequences."

CITE THIS AS:

Weisstein, Eric W. "Polykite." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Polykite.html