Polyplet

A Polyomino-like object made by attaching squares joined either at sides or corners. Because neighboring squares can bein relation to one another as Kings may move on a Chessboard, polyplets are sometimes alsocalled Polykings. The number of -polyplets (with holes allowed) are 1, 2, 5, 22, 94, 524, 3031, ...(Sloane's A030222). The number of -polyplets having bilateral symmetry are 1, 2, 4, 10, 22, 57, 131, ... (Sloane's A030234). The number of -polyplets not having bilateral symmetry are 0, 0, 1, 12, 72, 467, 2900, ... (Sloane's A030235). The numberof fixed -polyplets are 1, 4, 20, 110, 638, 3832, ... (Sloane's A030232). The number of one-sided -polyplets are 1, 2,6, 34, 166, 991, ... (Sloane's A030233).

References

Sloane, N. J. A. Sequences A030222,A030232,A030233,A030234, andA030235in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.

• Schläfli Polynomial
• Schläfli's Formula
• Schläfli's Modular Form
• Schläfli Symbol
• Schlömilch's Function
• Schlömilch's Series
• Schmitt-Conway Biprism
• Schnirelmann Constant
• Schnirelmann Density
• Schnirelmann's Theorem
• Schoenemann's Theorem
• Scholz Conjecture
• Schoolgirl Problem
• Schoute Coaxal System
• Schoute's Theorem
• Schrage's Algorithm
• Schroeder Stairs
• Schröder-Bernstein Theorem
• Schröder Number
• Schröder's Equation
• Schröder's Method
• Schröter's Formula
• Schur Algebra
• Schur Functor
• Schur Matrix