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# Polyplet

A polyomino-like object made by attaching squares joined either at sides or corners. Because neighboring squares can be in relation to one another as kings may move on a chessboard, polyplets are sometimes also called polykings. The number of -polyplets (with holes allowed) are 1, 2, 5, 22, 94, 524, 3031, ... (OEIS A030222). The number of -polyplets having bilateral symmetry are 1, 2, 4, 10, 22, 57, 131, ... (OEIS A030234). The number of -polyplets not having bilateral symmetry are 0, 0, 1, 12, 72, 467, 2900, ... (OEIS A030235). The number of fixed -polyplets are 1, 4, 20, 110, 638, 3832, ... (OEIS A006770). The number of one-sided -polyplets are 1, 2, 6, 34, 166, 991, ... (OEIS A030233).

Polyform, Polyiamond, Polyomino

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## References

Sloane, N. J. A. Sequences A006770/M3565, A030222, A030233, A030234, and A030235 in "The On-Line Encyclopedia of Integer Sequences."

Polyplet

## Cite this as:

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