Directory: Top/Science/Math/Recreations/Polyominoes

Top / Science / Math / Recreations / Polyominoes /

Tiling a Square With Eight Congruent Polyominoes
Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
http://www.math.ucf.edu/~reid/Research/Eight/
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The Tiling Puzzle Games of OOG
Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes.
http://www.mcmprod.com/
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Tiling with Notched Cubes
Robert Hochberg and Michael Reid exhibit an unboxable reptile: a polycube that can tile a larger copy of itself, but can't tile any rectangular block. Abstract of article to "Discrete Mathematics".
http://www.math.ucf.edu/~reid/Research/Notched/
Ucf.edu ~ Site Info Whois Trace Route RBL Check

Polyominoids
Jorge Luis Mireles Jasso presents connected sets of squares in a 3d cubical lattice. Includes a Java applet as well as non-animated description.
http://www.geocities.com/jorgeluismireles/polyominoids/
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Pentomino Puzzles.
Pentomino solver with download. Windows 95 and later required. [German/English]
http://www.exi-online.de/html/eintritt_e.html
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Pairwise Touching Hypercubes
Erich Friedman's problem of the month asks how to partition the unit cubes of an a*b*c-unit rectangular box into as many connected polycubes as possible with a shared face between every pair of polycubes. Answers provided.
http://www.stetson.edu/~efriedma/mathmagic/0903.html
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Livio Zucca's polyomino-covered cube
Colorful illustrations demonstrate how closed surfaces could be covered by polyominoes.
http://www.geocities.com/liviozuc/pag3_eng.html
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Miroslav Vicher's Puzzles Pages
Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
http://www.vicher.cz/puzzle/
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Tiling Stuff
Jonathan King examines problems of determining whether a given rectangular brick can be tiled by certain smaller bricks. Includes numerous articles in .pdf format.
http://www.math.ufl.edu/~squash/tilingstuff.html
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Pentominoes : an Introduction
Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
http://www.cimt.plymouth.ac.uk/resources/puzzles/pentoes/pentoint.htm
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