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Top: Science: Math: Recreations: Polyominoes:

  • Gerard's Universal Polyomino Solver Zapisz - 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 Zapisz - Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
  • Anna's Pentomino Page Zapisz - Anna Gardberg makes pentominoes out of sculpey and agate.
  • Blocking Polyominos Zapisz - Rodolfo Kurchan searches the smallest polyomino such that a particular number of copies can form a blocked pattern. With solutions.
  • Canonical Polygons Zapisz - Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2).
  • Christopher Monckton's Eternity Puzzle Zapisz - 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.
  • Counting Horizontally Convex Polyominoes Zapisz - Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.
  • Cynthia Lanius' Lesson: Polyominoes Introduction Zapisz - From tetris to hexominoes, Cynthia explains them in color.
  • Dancing Links Zapisz - Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
  • Eternity Page Zapisz - Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files.
  • Flexagons Zapisz - Conrad and Hartline's 1962 article on Flexagons.
  • Gamepuzzles Zapisz - Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.
  • Gerard's Pentomino Page Zapisz - Illustrates the 12 shapes. symmetrical combinations.
  • Golygons by Mathworld Zapisz - What they are, and how to find them.
  • Harold McIntosh's Flexagon Papers Zapisz - Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents.
  • Henri Picciotto's Geometric Puzzles in the Classroom Zapisz - Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs.
  • Hyperbolic Planar Tessellations Zapisz - Don Hatch's page on hyperbolic tesselations with numerous illustrations.
  • Information on Pentomino Puzzles Zapisz - At the Combinatorial Object Server.
  • Knight's Move Tessellations Zapisz - Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves.
  • Lego Pentominos Zapisz - Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
  • Logical Art and the Art of Logic Zapisz - Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.
  • Mathforum : Minimal Domino Tiling Zapisz - Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
  • Mathforum : Tiling Rectangles from Ell Zapisz - Stan Wagon asks which rectangles can be tiled with an ell-tromino.
  • Mathforum : a Pentomino Problem Zapisz - Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)
  • Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes Zapisz - 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.)
  • Miroslav Vicher's Puzzles Pages Zapisz - Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
  • My Polyomino Page Zapisz - Michael Reid's numerous articles on polyominoes and tilnig, with references and links.
  • Packing Shapes Zapisz - Erich Friedman's Introduction to a variety of packing and tiling problems.
  • Pairwise Touching Hypercubes Zapisz - 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-Mania Zapisz - Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.
  • Pentomino Applet Zapisz - Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java].
  • Pentomino Applet Zapisz - Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]
  • Pentomino Covers Zapisz - Problems on minimal covers.
  • Pentomino Dissection of a Square Annulus Zapisz - From Scott Kim's Inversions Gallery.
  • Pentomino HungarIQa Zapisz - Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]
  • Pentomino Puzzles. Zapisz - Pentomino solver with download. Windows 95 and later required. [German/English]
  • Pentomino Relationships Zapisz - Symmetries in the families of rectangular solutions.
  • Pentominoes Zapisz - Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.
  • Pentominoes : an Introduction Zapisz - Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
  • Pentominos Zapisz - Graphics problems, solutions (including animated GIF) and links. (English/German through main page)
  • Pentominos Zapisz - B. Berchtold's applet helps tile a 6x10 rectangle. [German]
  • Pentominos Puzzle Solver Zapisz - David Eck's graphical solver applet uses recursive technique. Source code available. [Java]
  • Polyform Curiosities Zapisz - Topics include exclusion, compatibility, and wallpaper. Includes examples and charts.
  • Polyform and Dissection Puzzle Links Zapisz - Christian Eggermont's link page.
  • Polyforms Zapisz - Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes.
  • Polygon Puzzle Zapisz - Open source polyomino and polyform placement solitaire game.
  • Polyiamond Exclusion Zapisz - 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.
  • Polyomino Enumeration Zapisz - 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 and Polyhex Tiling Zapisz - Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
  • Polyominoes Zapisz - Describes a numerical invariant that can be used to classify polyominoes.
  • Polypolygon Tilings Zapisz - S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
  • Primes of a 14-omino Zapisz - 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 Zapisz - Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
  • Rectifiable Polyomino Zapisz - Karl Dahlke explains and demonstrates tiling. Includes C-program source.
  • Schröder Triangles, Paths, and Parallelogram Polyominoes Zapisz - A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.
  • Somatic Zapisz - A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.
  • Sqfig and Sqtile Zapisz - Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.
  • Taniguchi's Programs Zapisz - Windows software to solve polyiamond and sliding block puzzles.
  • The Geometry Junkyard: Polyominoes Zapisz - Numerous links, sorted alphabetically.
  • The Mathematics of Polyominoes Zapisz - Kevin Gong offers download of his polyominoes games shareware for Windows and Mac. 100 boards are included. A Java version is under development.
  • The Pentomino Dictionary by Gilles Esposito-Farèse Zapisz - English words that can be written using the pentomino name letters FILNPTUVWXYZ and other related curiosities, including a homage to Georges Perec. (English/French).
  • The Poly Pages Zapisz - About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
  • The Three Dimensional Polyominoes of Minimal Area Zapisz - 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).
  • Thorleif's SOMA Page Zapisz - SOMA puzzle site with graphics, newsletter and software.
  • Three Nice Pentomino Coloring Problems Zapisz - Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
  • Tiling Rectangles and Half Strips with Congruent Polyominoes Zapisz - Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
  • Tiling Stuff Zapisz - 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 a Square With Eight Congruent Polyominoes Zapisz - Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
  • Tiling with Notched Cubes Zapisz - 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 Zapisz - 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 Zapisz - Java applet demonstres that this tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java]