A pentomino is a 5-polyomino . There are 12 free pentominoes, 18 one-sided pentominoes, and 63 fixed pentominoes.
The twelve free pentominoes are known by the letters of the alphabet they most closely
resemble: et al. 1982). In particular, in the game
of life cellular automaton , the straight pentomino , L-pentomino ,
and T-pentomino , respectively.
See also Domino ,
Hexomino ,
Heptomino ,
Octomino ,
Polyomino ,
Tetromino ,
Triomino
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References Ball, W. W. R. and Coxeter, H. S. M. Mathematical
Recreations and Essays, 13th ed. Berlekamp,
E. R.; Conway, J. H; and Guy, R. K. Winning
Ways for Your Mathematical Plays, Vol. 1: Adding Games, 2nd ed. Berlekamp, E. R.; Conway, J. H; and Guy,
R. K. Winning
Ways for Your Mathematical Plays, Vol. 2: Games in Particular. Dudeney, H. E. "The Broken Chessboard."
Problem 74 in The
Canterbury Puzzles and Other Curious Problems, 7th ed. Gardner, M. "Mathematical Games:
About the Remarkable Similarity between the Icosian Game and the Towers of Hanoi."
Sci. Amer. 196 , 150-156, May 1957. Gardner, M. "Mathematical
Games: More About the Shapes that Can Be Made with Complex Dominoes." Sci.
Amer. 203 , 186-198, Nov. 1960. Golomb, S. W. Polyominoes:
Puzzles, Patterns, Problems, and Packings, 2nd ed. Hunter, J. A. H. and Madachy, J. S.
Mathematical
Diversions. http://www.cs.ust.hk/~philipl/omino/pento.html Madachy,
J. S. "Pentominoes: Some Solved and Unsolved Problems." J. Rec.
Math. 2 , 181-188, 1969. O'Beirne, T. H. "Pentominoes
and Hexiamonds." New Scientist 12 , 379-380, 1961. Ruskey,
F. "Information on Pentomino Puzzles." http://www.theory.csc.uvic.ca/~cos/inf/misc/PentInfo.html . Smith,
A. "Pentomino Relationships." http://www.snaffles.demon.co.uk/pentanomes/ . Verbuyst,
C. "Pentomino." http://home.planetinternet.be/~odettedm/ . Referenced
on Wolfram|Alpha Pentomino
Cite this as:
Weisstein, Eric W. "Pentomino." From MathWorld https://mathworld.wolfram.com/Pentomino.html
Subject classifications
,
, 
, 
,
, 
, 
,
, 
, 
,
, and 
(Gardner 1960, Golomb 1995). Another common naming convention
replaces 
,
, 
, and 
with 
, 
, 
,
and 
so that all letters from 
to 
are used (Berlekamp et al. 1982). In particular, in the game
of life cellular automaton, the 
-pentomino is always known as the 
-pentomino. The 
, 
,
and 
pentominoes can also be called the straight pentomino, L-pentomino,
and T-pentomino, respectively.
