Directory: Top/Science/Math/Recreations/Polyominoes

Top / Science / Math / Recreations / Polyominoes /

Tesselating Locking Polyominos
Bob Newman examines the history of the subject and presents his minimal solutions.
http://www.noggs.dsl.pipex.com/ts/
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The Three Dimensional Polyominoes of Minimal Area
L. Alonso and R. Cert's abstract of a paper published in vol. 3 of the Elect. J. Combinatorics. Full paper available in different formats (.pdf, postscript, tex etc).
http://www.combinatorics.org/Volume_3/Abstracts/v3i1r27.html
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Three Nice Pentomino Coloring Problems
Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
http://xprt.net/~munizao/mathrec/pentcol.html
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Mathforum : Tiling Rectangles from Ell
Stan Wagon asks which rectangles can be tiled with an ell-tromino.
http://mathforum.org/wagon/spring98/p856.html
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Pentominos
B. Berchtold's applet helps tile a 6x10 rectangle. [German]
http://www.mathematik.ch/anwendungenmath/pento/
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Pentomino Applet
Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]
http://www.cs.cmu.edu/~desilva/pento/pento.html
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Packing Polyominoes
Mark Michell investigates packing pentominoes into rectangles of various non-integer aspect ratios in order to obtain the largest possible pieces using straight cuts.
http://www.users.bigpond.com/themichells/packing_pentominoes.htm
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Dancing Links
Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
http://www-cs-faculty.stanford.edu/~knuth/papers/dancing-color.ps.gz
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Polyomino and Polyhex Tiling
Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
http://www.srcf.ucam.org/~jsm28/tiling/
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Pentomino Dissection of a Square Annulus
From Scott Kim's Inversions Gallery.
http://www.scottkim.com/inversions/gallery/golomb.html
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