Directory: Top/Science/Math/Recreations/Polyominoes

Top / Science / Math / Recreations / Polyominoes /

Golygons by Mathworld
What they are, and how to find them.
http://mathworld.wolfram.com/Golygon.html
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Polyform and Dissection Puzzle Links
Christian Eggermont's link page.
http://web.inter.nl.net/users/C.Eggermont/Links.new/Puzzles/Polyforms.and.dissection/index.noframe.shtml
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Polyforms
Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes.
http://www.mathpuzzle.com/polyom.htm
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Polyform Spirals
Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.
http://www.geocities.com/jorgeluismireles/spirals/
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Polyiamond Exclusion
Colonel Sicherman asks what fraction of the triangles need to be removed from a regular triangular tiling of the plane, in order to make sure that the remaining triangles contain no copy of a given polyiamond.
http://www.monmouth.com/~colonel/xpoly/xpoly.html
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Polyiamonds
Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds.
http://mathforum.org/pow/solutio4.html
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Unfolding the Tesseract
Peter Turney lists the 261 polycubes that can be folded in four dimensions to form the surface of a hypercube, and provides animations of the unfolding process.
http://www.apperceptual.com/tesseract.html
Apperceptual.com ~ Site Info Whois Trace Route RBL Check

Unbeatable Tetris
Java applet demonstres that this tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java]
http://www.geom.uiuc.edu/java/tetris/
Uiuc.edu ~ Site Info Whois Trace Route RBL Check

Unbalanced Anisohedral Tiling
Joseph Myers and John Berglund found a polyhex that must be placed in two different ways in a tiling of a plane, such that one placement occurs twice as often as the other.
http://www.angelfire.com/mn3/anisohedral/unbalanced.html
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Anna's Pentomino Page
Anna Gardberg makes pentominoes out of sculpey and agate.
http://www.geom.uiuc.edu/~summer95/gardberg/pent.html
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