Human edited web directory based on the DMOZ data. To find out more about this project please use the top main menu.
Sites 55
- Gamepuzzles Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.
- 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.
- Polyominoes Describes a numerical invariant that can be used to classify polyominoes.
- The Geometry Junkyard: Polyominoes Numerous links, sorted alphabetically.
- 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].
- 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.
- Thorleif's SOMA Page SOMA puzzle site with graphics, newsletter and software.
- Schröder Triangles, Paths, and Parallelogram Polyominoes A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.
- Pentominos Graphics problems, solutions (including animated GIF) and links. (English/German through main page)
- Logical Art and the Art of Logic Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.
- Pento-Mania Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.
- Cynthia Lanius' Lesson: Polyominoes Introduction From tetris to hexominoes, Cynthia explains them in color.
- Somatic A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.
- Counting Horizontally Convex Polyominoes Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.
- Puzzle Fun Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
- Blocking Polyominos Rodolfo Kurchan searches 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).
- Pentominos Puzzle Solver David Eck's graphical solver applet uses recursive technique. Source code available. [Java]
- Sqfig and Sqtile Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.
- Pentominoes Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.
- Rectifiable Polyomino Karl Dahlke explains and demonstrates tiling. Includes C-program source.
- Packing Shapes Erich Friedman's Introduction to a variety of packing and tiling problems.
- Harold McIntosh's Flexagon Papers Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents.
- Flexagons Conrad and Hartline's 1962 article on Flexagons.
- Gerard's Pentomino Page Illustrates the 12 shapes. symmetrical combinations.
- Golygons by Mathworld What they are, and how to find them.
- Polyform and Dissection Puzzle Links Christian Eggermont's link page.
- Polyforms Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes.
- 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.
- 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]
- 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.
- Anna's Pentomino Page Anna Gardberg makes pentominoes out of sculpey and agate.
- Lego Pentominos Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
- 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.)
- Mathforum : Minimal Domino Tiling Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
- Animal Enumerations Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
- 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).
- Mathforum : Tiling Rectangles from Ell Stan Wagon asks which rectangles can be tiled with an ell-tromino.
- Pentominos B. Berchtold's applet helps tile a 6x10 rectangle. [German]
- Pentomino Applet Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]
- Dancing Links Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
- 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.
- Mathforum : a Pentomino Problem Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)
- Polypolygon Tilings S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
- The Poly Pages About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
- Pentomino HungarIQa Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]
- 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.
- Miroslav Vicher's Puzzles Pages Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
- 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).
- Polyform Curiosities Topics include exclusion, compatibility, and wallpaper. Includes examples and charts.
- Hyperbolic Planar Tessellations Don Hatch's page on hyperbolic tesselations with numerous illustrations.
- Pentomino Relationships Symmetries in the families of rectangular solutions.
- Henri Picciotto's Geometric Puzzles in the Classroom Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs.
- Polyomino and Polyhex Tiling Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
- Polygon Puzzle Open source polyomino and polyform placement solitaire game.