Triomino

Author

Eric W. Weisstein
May 16, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PointLattices/Triomino.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Triomino.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<LinearAlgebra`MatrixManipulation`
<<Graphics`Colors`
<<Polyomino`

Count

Length/@(polys=Polyominoes[3,Type->#]&/@{Free,OneSided,Fixed})

Plot

m=PolyominoArray[Polyominoes[3]];

PolyominoPlot[m,ImageSize->200]

Enumeration

Free

PolyominoPlot[PolyominoArray[Polyominoes[3]]]

One-Sided

PolyominoPlot[PolyominoArray[Polyominoes[3,Type->OneSided]]]

Fixed

PolyominoPlot[PolyominoArray[Polyominoes[3,Type->Fixed]]]

Array

Show[GraphicsArray[List/@
(PolyominoPlot[PolyominoArray[Polyominoes[3,Type->#1]],DisplayFunction->Identity,
PlotLabel->StyleForm[#2,FontFamily->"Times",FontSlant->"Italic"]]&@@@{{Free,"free and one-sided"},{Fixed,"fixed"}})
]]