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\begin{figure}\begin{center}\BoxedEPSF{PolyominoesHex.epsf scaled 600}\end{center}\end{figure}

An analog of the Polyominoes and Polyiamonds in which collections of regular hexagons are arranged with adjacent sides. They are also called Hexes and Hexas. The number of polyhexes of $n$ hexagons are 1, 1, 3, 7, 22, 82, 333, 1448, 6572, 30490, 143552, 683101, ... (Sloane's A000228). For the 4-hexes (tetrahexes), the possible arrangements are known as the Bee, Bar, Pistol, Propeller, Worm, Arch, and Wave.


Gardner, M. ``Polyhexes and Polyaboloes.'' Ch. 11 in Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind from Scientific American. New York: Vintage, pp. 146-159, 1978.

Gardner, M. ``Tiling with Polyominoes, Polyiamonds, and Polyhexes.'' Ch. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.

Golomb, S. W. Polyominoes: Puzzles, Patterns, Problems, and Packings, 2nd ed. Princeton, NJ: Princeton University Press, pp. 92-93, 1994.

Sloane, N. J. A. Sequence A000228/M2682 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 342-343, 1993.

© 1996-9 Eric W. Weisstein