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- 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]. | 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. |
 | Flexagons: - Folded paper polyiamonds which can be unfolded to show hidden faces. Make interesting school projects. |
 | Gamepuzzles: - Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc. |
 | Golygons: - Harry J. Smith's explains polyominoes with consecutive integer side lengths. |
 | Hepto: - Some packings of the 108 heptominoes (with unit thickness) into various blocks. |
 | Hexiamonds: - George Huttlin explains and illustrates these shapes composed of 6 equilateral triangles, which in turn tiles different forms. |
 | 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. |
 | A Pentominoes Project from Belgium: - Secondary School project about pentominoes and fun with math. History, descriptions, and problems. Bi-monthly pentomino competition. A solver is available. [English, French, Dutch. |
 | 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. |
 | 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. |
 | Solomon W. Golomb: - Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list. |
 | The Soma Cube: - Soma-solving program in QBASIC by Courtney McFarren. |
 | Soma Cube Applet: - Mehta and Ward Alberg explains the soma cube and provides an applet for practice. Source codes included. [Java. |
 | 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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