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Gerard's Universal Polyomino Solver - http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html
Computes from 1 to 3.38 billion solutions with graphic display to each of the 60+ problems of different sizes and shapes. Pieces vary from pentominoes to heptominoes, sometimes in combination. Table summarizes properties and example solution of each problem. [Java required]. |
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Polyforms - http://www.mathpuzzle.com/polyom.htm
Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes. |
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The Geometry Junkyard: Polyominoes - http://www.ics.uci.edu/~eppstein/junkyard/polyomino.html
Numerous links, sorted alphabetically. |
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Cynthia Lanius' Lesson: Polyominoes Introduction - http://math.rice.edu/~lanius/Lessons/Polys/poly1.html
From tetris to hexominoes, Cynthia explains them in color. |
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Three Nice Pentomino Coloring Problems - http://xprt.net/~munizao/mathrec/pentcol.html
Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games. |
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Christopher Monckton's Eternity Puzzle - http://mathpuzzle.com/eternity.html
Rules, the solution by Alex Selby and Oliver Riordan, other resources and links. The puzzle is made up of 209 pieces of polydrafters, each one is a combination of 12-30/60/90 triangles. |
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Animal Enumerations - http://www.ieeta.pt/~tos/animals.html
Enumeration on regular tilings of the Euclidean and Hyperbolic planes. |
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Knight's Move Tessellations - http://www.borderschess.org/KTtess.htm
Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves. |
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The Poly Pages - http://www.recmath.com/PolyPages/
About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes. |
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Flexagons - http://delta.cs.cinvestav.mx/~mcintosh/comun/flexagon/flexagon.html
Conrad and Hartline's 1962 article on Flexagons. |
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Pentominos Puzzle Solver - http://math.hws.edu/xJava/PentominosSolver/
David Eck's graphical solver applet uses recursive technique. Source code available. [Java] |
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Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes - http://www.maths.soton.ac.uk/EMIS/journals/BAG/vol.35/no.1/b35h1har.abs
Bezdek, Brass, and Harborth. Abstract to an article which places bounds on the convex area needed to contain a polyomino. (Contributions to Algebra and Geometry Volume 35 (1994), No. 1, 37-43.) |
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Golygons by Mathworld - http://mathworld.wolfram.com/Golygon.html
What they are, and how to find them. |
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Polyominoes: Theme and Variations - http://homepages.cwi.nl/~jankok/etc/Polyomino.html
Jankok presents information about filling rectangles, other polygons, boxes, etc., with dominoes, trominoes, tetrominoes, pentominoes, solid pentominoes, hexiamonds, and whatever else people have invented as variations of a theme. References included. |
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Information on Pentomino Puzzles - http://www.theory.csc.uvic.ca/~cos/inf/misc/PentInfo.html
At the Combinatorial Object Server. |
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Pairwise Touching Hypercubes - http://www.stetson.edu/~efriedma/mathmagic/0903.html
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. |
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Harold McIntosh's Flexagon Papers - http://delta.cs.cinvestav.mx/~mcintosh/oldweb/pflexagon.html
Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents. |
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Pentomino Homepage - http://membres.lycos.fr/pentomino/index.html
Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English) |
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Pentominoes : an Introduction - http://www.cimt.plymouth.ac.uk/resources/puzzles/pentoes/pentoint.htm
Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc. |
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Gerard's Pentomino Page - http://www.xs4all.nl/~gp/pentomino.html
Illustrates the 12 shapes. symmetrical combinations. |
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Miroslav Vicher's Puzzles Pages - http://www.vicher.cz/puzzle/
Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech). |
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Henri Picciotto's Geometric Puzzles in the Classroom - http://www.picciotto.org/math-ed/puzzles/
Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs. |
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The Mathematics of Polyominoes - http://www.kevingong.com/Polyominoes/
Kevin Gong offers download of his polyominoes games shareware for Windows and Mac. 100 boards are included. A Java version is under development. |
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Pentomino Applet - http://www.fwend.com/pentomino.htm
Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java]. |
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Mathforum : Tiling Rectangles from Ell - http://mathforum.org/wagon/spring98/p856.html
Stan Wagon asks which rectangles can be tiled with an ell-tromino. |
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Pentominos - http://www.mathematische-basteleien.de/pentominos.htm
Graphics problems, solutions (including animated GIF) and links. (English/German through main page) |
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Tiling Rectangles and Half Strips with Congruent Polyominoes - http://www.math.ucf.edu/~reid/Research/Halfstrip/
Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A". |
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My Polyomino Page - http://www.math.ucf.edu/~reid/Polyomino/index.html
Michael Reid's numerous articles on polyominoes and tilnig, with references and links. |
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Mathforum : a Pentomino Problem - http://mathforum.org/pom/project2.95.html
Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995) |
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Six Squares Problem - http://mathforum.org/pow/solution22.html
This Geometry Forum problem of the week asks for the number of different hexominoes, and for how many of them can be folded into a cube. |
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Logical Art and the Art of Logic - http://www.basic.northwestern.edu/g-buehler/pentominoes/
Pentomino pictures, software and other resources by Guenter Albrecht-Buehler. |
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Polypolygon Tilings - http://www.uwgb.edu/dutchs/symmetry/polypoly.htm
S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics. |
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Polyomino Enumeration - http://www.mathpages.com/home/kmath039.htm
K. S. Brown examines the number of polyominoes up to order 12 for various cases involving rotation or reflections. Equations linking the cases are proposed. |
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Java pentominoes - http://www.thery.free.fr/index.php?option=com_content&task=view&id=18&Itemid=44
Thery families web site with pentomino solver. (English/French)[Java]. |
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Counting Horizontally Convex Polyominoes - http://www.cs.uwaterloo.ca/journals/JIS/HICK2/chcp.html
Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity. |