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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 asks, for each k, what is the smallest polyomino such that k 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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- Dancing links - - Don Knuth discusses implementation details of polyomino search algorithms.
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- Eithan's Pentominoes-3D Applet Solver - - Solves given Pentominoes 3D puzzles. Solution is displayed in 3-D with disassembly and rotations. General information and data. [requires Java.
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- Equilateral pentagons - - Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions.
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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 - - Folded paper polyiamonds which can be unfolded to show hidden faces. Make interesting school projects.
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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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- Golygons - - Harry J. Smith's explains polyominoes with consecutive integer side lengths.
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- Hepto - - Some packings of the 108 heptominoes (with unit thickness) into various blocks.
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- hexiamonds - - George Huttlin explains and illustrates these shapes composed of 6 equilateral triangles, which in turn tiles different forms.
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- Java pentominoes - - Thery families web site with pentomino solver. (English/French)[Java].
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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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- 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 in the works.
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- Mathforum : a pentomino problem - - from the Geometry Forum. Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995.
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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 Ferrers Shapes - - Alon, Bóna, and Spencer show that one can't cover very much of an n by p(n) rectangle with staircase polyominoes (where p(n) is the number of these shapes).
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- Packing Polyominoes - - Erich Friedman's Introduction to a variety of packing and tiling problems.
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- 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.
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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. [Java.
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- Pentomino applet - - Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java].
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- Pentomino, Homepage - - Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English.
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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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- 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.
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- Pentominos - - B. Berchtold's applet helps tile a 6x10 rectangle. [German.
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- Pentominos - - Graphics problems, solutions (including animated GIF) and links. (English/German through main page.
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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 spirals - - Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.
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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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- Polyiamonds - - Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds.
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- Polyomino applet - - Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java.
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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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- Polyomino Fuzion game - - Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links.
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- Polyomino tiling - - . Joseph Myers classifies the n-ominoes up to n=15 according to how symmetrically they can tile the plane.
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- Polyominoes - - Describes a numerical invariant that can be used to classify polyominoes.
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- Polyominoes - - Introduction to Tetrominoes, Pentominoes, Hexominoes, Heptominoes, Octominoes, Fixed (translation only) Polyominoes. Numerous Links.
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- Polypolygon tilings - - S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
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- Puzzle Fun - - Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
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- R&A Media, Inc. - - Manufactures wooden puzzles of polyomino type. Includes Prices, tips, hints and pages with solution counts.
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- 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.
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- Solomon W. Golomb - - Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list.
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- The Soma Cube - - Soma-solving program in QBASIC by Courtney McFarren.
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- Soma cube applet - - Mehta & Ward Alberg explains the soma cube and provides an applet for practice. Source codes included. [Java.
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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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- 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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- 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.
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- What is a Golygon? - - Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column.
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- 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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