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  • Gerard's Universal Polyomino Solver - 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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  • Animal Enumerations - Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
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  • Anna's Pentomino Page - Anna Gardberg makes pentominoes out of sculpey and agate.
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  • Blocking Polyominos - Rodolfo Kurchan searches the smallest polyomino such that a particular number of copies can form a blocked pattern. With solutions.
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  • Canonical Polygons - Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2).
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  • Christopher Monckton's Eternity Puzzle - 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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  • Counting Horizontally Convex Polyominoes - Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.
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  • Cynthia Lanius' Lesson: Polyominoes Introduction - From tetris to hexominoes, Cynthia explains them in color.
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  • Dancing Links - Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
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  • Eternity Page - Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files.
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  • Flexagons - Conrad and Hartline's 1962 article on Flexagons.
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  • Gamepuzzles - Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.
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  • The Geometry Junkyard: Polyominoes - Numerous links, sorted alphabetically.
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  • Gerard's Pentomino Page - Illustrates the 12 shapes. symmetrical combinations.
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  • Golygons by Mathworld - What they are, and how to find them.
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  • Harold McIntosh's Flexagon Papers - Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents.
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  • Henri Picciotto's Geometric Puzzles in the Classroom - Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs.
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  • Hyperbolic Planar Tessellations - Don Hatch's page on hyperbolic tesselations with numerous illustrations.
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  • Information on Pentomino Puzzles - At the Combinatorial Object Server.
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  • Knight's Move Tessellations - Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves.
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  • Lego Pentominos - Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
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  • Logical Art and the Art of Logic - Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.
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  • The Mathematics of 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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  • Mathforum : a Pentomino Problem - Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)
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  • Mathforum : Minimal Domino Tiling - Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
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  • Mathforum : Tiling Rectangles from Ell - Stan Wagon asks which rectangles can be tiled with an ell-tromino.
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  • Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes - 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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  • Miroslav Vicher's Puzzles Pages - Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
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  • My Polyomino Page - Michael Reid's numerous articles on polyominoes and tilnig, with references and links.
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  • Packing Shapes - Erich Friedman's Introduction to a variety of packing and tiling problems.
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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.
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  • Pento-Mania - Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.
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  • Pentomino Applet - Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]
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  • Pentomino Covers - Problems on minimal covers.
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  • The Pentomino Dictionary by Gilles Esposito-Farèse - English words that can be written using the pentomino name letters FILNPTUVWXYZ and other related curiosities, including a homage to Georges Perec. (English/French).
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  • Pentomino Dissection of a Square Annulus - From Scott Kim's Inversions Gallery.
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  • Pentomino HungarIQa - Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]
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  • Pentomino Relationships - Symmetries in the families of rectangular solutions.
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  • Pentominoes - Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.
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  • Pentominoes : an Introduction - Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
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  • Pentominos - Graphics problems, solutions (including animated GIF) and links. (English/German through main page)
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  • Pentominos - B. Berchtold's applet helps tile a 6x10 rectangle. [German]
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  • Pentominos Puzzle Solver - David Eck's graphical solver applet uses recursive technique. Source code available. [Java]
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  • The Poly Pages - About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
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  • Polyform and Dissection Puzzle Links - Christian Eggermont's link page.
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  • Polyform Curiosities - Topics include exclusion, compatibility, and wallpaper. Includes examples and charts.
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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.
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  • Polygon Puzzle - Open source polyomino and polyform placement solitaire game.
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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.
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  • Polyomino and Polyhex Tiling - Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
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  • Polyomino Enumeration - 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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  • Polyominoes - Describes a numerical invariant that can be used to classify polyominoes.
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  • Polypolygon Tilings - S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
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  • Primes of a 14-omino - Michael Reid shows that a 3x6 rectangle with a 2x2 bite removed can tile a (much larger) rectangle. It is open whether it can do this using an odd number of copies.
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  • Puzzle Fun - Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
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  • Rectifiable Polyomino - Karl Dahlke explains and demonstrates tiling. Includes C-program source.
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  • Schröder Triangles, Paths, and Parallelogram Polyominoes - A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.
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  • Somatic - A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.
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  • Sqfig and Sqtile - Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.
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  • Taniguchi's Programs - Windows software to solve polyiamond and sliding block puzzles.
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  • Thorleif's SOMA Page - SOMA puzzle site with graphics, newsletter and software.
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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).
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  • Three Nice Pentomino Coloring Problems - Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
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  • Tiling a Square With Eight Congruent Polyominoes - Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
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  • Tiling Rectangles and Half Strips with Congruent Polyominoes - Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
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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".
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  • 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.
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  • 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]
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Last update: March 3, 2014 at 7:35:06 UTC - edit