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单词 Polyhex
释义

Polyhex

An analog of the Polyominoes and Polyiamonds in which collections of regularhexagons are arranged with adjacent sides. They are also called Hexes and Hexas. The number of polyhexes of hexagons are 1, 1, 3, 7, 22, 82, 333, 1448, 6572, 30490, 143552, 683101, ...(Sloane's A000228). For the4-hexes (tetrahexes), the possible arrangements are known as the Bee, Bar, Pistol,Propeller, Worm, Arch, and Wave.


References

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. SequenceA000228/M2682in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html 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.


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