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the entire directory
only in Recreations/Polyominoes
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Polyominoes
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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.
Anna's Pentomino Page
 Anna Gardberg makes pentominoes out of sculpey and agate.
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).
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 1230/60/90 triangles.
Counting Horizontally Convex Polyominoes
 Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.
Cynthia Lanius' Lesson: Polyominoes Introduction
 From tetris to hexominoes, Cynthia explains them in color.
Dancing Links
 Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
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.
The Geometry Junkyard: Polyominoes
 Numerous links, sorted alphabetically.
Gerard's Pentomino Page
 Illustrates the 12 shapes. symmetrical combinations.
Golygons by Mathworld
 What they are, and how to find them.
Harold McIntosh's Flexagon Papers
 Including copies of the original 1962 ConradHartline papers. Abstract, htmlpages, or .pdf documents.
Henri Picciotto's Geometric Puzzles in the Classroom
 Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs.
Hyperbolic Planar Tessellations
 Don Hatch's page on hyperbolic tesselations with numerous illustrations.
Information on Pentomino Puzzles
 At the Combinatorial Object Server.
Knight's Move Tessellations
 Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves.
Lego Pentominos
 Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
Logical Art and the Art of Logic
 Pentomino pictures, software and other resources by Guenter AlbrechtBuehler.
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.
Mathforum : a Pentomino Problem
 Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)
Mathforum : Minimal Domino Tiling
 Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
Mathforum : Tiling Rectangles from Ell
 Stan Wagon asks which rectangles can be tiled with an elltromino.
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, 3743.)
Miroslav Vicher's Puzzles Pages
 Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
My Polyomino Page
 Michael Reid's numerous articles on polyominoes and tilnig, with references and links.
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*cunit rectangular box into as many connected polycubes as possible with a shared face between every pair of polycubes. Answers provided.
PentoMania
 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 Covers
 Problems on minimal covers.
The Pentomino Dictionary by Gilles EspositoFarèse
 English words that can be written using the pentomino name letters FILNPTUVWXYZ and other related curiosities, including a homage to Georges Perec. (English/French).
Pentomino Dissection of a Square Annulus
 From Scott Kim's Inversions Gallery.
Pentomino HungarIQa
 Kati presents a pentomino puzzle using polyrhombs instead of polysquares. [English/French/German/Hungarian]
Pentomino Relationships
 Symmetries in the families of rectangular solutions.
Pentominoes
 Expository paper by R. Bhat and A. Fletcher. Covers preGolomb 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
 Graphics problems, solutions (including animated GIF) and links. (English/German through main page)
Pentominos
 B. Berchtold's applet helps tile a 6x10 rectangle. [German]
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 and Dissection Puzzle Links
 Christian Eggermont's link page.
Polyform Curiosities
 Topics include exclusion, compatibility, and wallpaper. Includes examples and charts.
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.
Polyomino and Polyhex Tiling
 Joseph Myer's tables of polyominoes and of polyomino tilings, in 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.
Polyominoes
 Describes a numerical invariant that can be used to classify polyominoes.
Polypolygon Tilings
 S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
Primes of a 14omino
 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.
Rectifiable Polyomino
 Karl Dahlke explains and demonstrates tiling. Includes Cprogram source.
Schröder Triangles, Paths, and Parallelogram Polyominoes
 A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.
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.
Taniguchi's Programs
 Windows software to solve polyiamond and sliding block puzzles.
Thorleif's SOMA Page
 SOMA puzzle site with graphics, newsletter and software.
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).
Three Nice Pentomino Coloring Problems
 Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
Tiling a Square With Eight Congruent Polyominoes
 Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
Tiling Rectangles and Half Strips with Congruent Polyominoes
 Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
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 tetrominopacking game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java]
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Last update: March 3, 2014 at 7:35:06 UTC 
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