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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]. | » Animal Enumerations - Enumeration on regular tilings of the Euclidean and Hyperbolic planes.. |
 | » Blocking Polyominos - Rodolfo Kurchan searchss the smallest polyomino such that a particular number of copies can form a blocked pattern. With solutions.. |
 | » Canonical Polygons - Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2).. |
 | » 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.. |
 | » Dancing Links - Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).. |
 | » Equilateral Pentagons - Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions.. |
 | » Eternity Page - Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files.. |
 | » Flexagons - Conrad and Hartline's 1962 article on Flexagons.. |
 | » Gamepuzzles - Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.. |
 | » Golygons - Harry J. Smith's explains polyominoes with consecutive integer side lengths.. |
 | » Java pentominoes - Thery families web site with pentomino solver. (English/French)[Java].. |
 | » Lego Pentominos - Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.. |
 | » 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.. |
 | » My Polyomino Page - Michael Reid's numerous articles on polyominoes and tilnig, with references and links.. |
 | » 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.. |
 | » Packing Shapes - Erich Friedman's Introduction to a variety of packing and tiling problems.. |
 | » 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.. |
 | » Pento - Amamas Software offers a pentomino solving software.. |
 | » Pento-Mania - Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.. |
 | » Pentomino Applet - Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]. |
 | » Pentomino Applet - Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java].. |
 | » Pentomino Homepage - Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English). |
 | » Pentomino HungarIQa - Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]. |
 | » Pentomino Puzzles. - Pentomino solver with download. Windows 95 and later required. [German/English]. |
 | » Pentominoes - Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.. |
 | » Pentominoes : an Introduction - Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.. |
 | » Pentominos - B. Berchtold's applet helps tile a 6x10 rectangle. [German]. |
 | » Pentominos - Graphics problems, solutions (including animated GIF) and links. (English/German through main page). |
 | » Pentominos Puzzle Solver - David Eck's graphical solver applet uses recursive technique. Source code available. [Java]. |
 | » The Poly Pages - About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.. |
 | » Polyform Spirals - Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.. |
 | » Polyforms - Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes.. |
 | » Polygon Puzzle - Open source polyomino and polyform placement solitaire game.. |
 | » 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.. |
 | » Polyiamonds - Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds.. |
 | » Polyomino Applet - Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java]. |
 | » 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.. |
 | » Polyomino Fuzion Game - Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links.. |
 | » Polyominoes - Describes a numerical invariant that can be used to classify polyominoes.. |
 | » Polyominoes - Introduction to Tetrominoes, Pentominoes, Hexominoes, Heptominoes, Octominoes, Fixed (translation only) Polyominoes. Numerous Links.. |
 | » Polyominoes: Theme and Variations - 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.. |
 | » 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.. |
 | » Polypolygon Tilings - S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.. |
 | » 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.. |
 | » Puzzle Fun - Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.. |
 | » Six Squares Problem - 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.. |
 | » The Soma Cube - Soma-solving program in QBASIC by Courtney McFarren.. |
 | » Somatic - A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.. |
 | » Sqfig and Sqtile - Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.. |
 | » 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.. |
 | » 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".. |
 | » 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.. |
 | » 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]. |
 | » 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.. |
 | » What is a Golygon? - Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column.. |
 | » Xominoes - Livio Zucca finds a set of markings for the edges of a square that lead to exactly 100 possible tiles, and asks how to fit them into a 10x10 grid.. |
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