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, ... (OEIS A057786),
the first few of which are illustrated above.
See also
Hat Polykite,
Kite,
Polyform
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References
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."Referenced on Wolfram|Alpha
Polykite
Cite this as:
Weisstein, Eric W. "Polykite." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Polykite.html
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