- Gamepuzzles - Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.
- Some Variations on the Theme of Polyomino - Looks at patterns that illustrate how the squares of polyominos are connected to each other.
- Polyominoes - Describes a numerical invariant that can be used to classify polyominoes.
- Polyominoes: Theme and Variations - A brief essay with some references.
- The Geometry Junkyard: Polyominoes - Numerous links, sorted alphabetically.
- Polyomino and Polyhex Tiling - Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
- Steve and Susan's Puzzles - Handmade wooden Pentomino and other puzzles; books.
- 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.
- Miroslav Vicher's Puzzles Pages - Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
- 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 prob
- A Puzzle by Enrich Friedman - Every square can be dissected into L-ominoes. Can every Pythagorean square? Conjecture needs proof.
- Pentomino Relationships - Symmetries in the families of rectangular solutions.
- Information on Pentomino Puzzles - At the Combinatorial Object Server.
- Pentamini pentaminos pentominoes - A container of mathematical games, gadgets and software. (English/Italian)
- Pentomino Covers - Problems on minimal covers.
- Hepto - Some packings of the 108 heptominoes (with unit thickness) into various blocks.
- Tiling UROP Homepage - Undergraduate Research Project in Random Tilings.
- Eternity Page - Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files.
- Tiling and Packing Results of Torsten Sillke - Polyominoes, polycubes and polyspheres.
- Solomon W. Golomb - Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list.
- Arnab's Pentominos Puzzle - Fast Pentominos puzzle solver, works on DOS/Windows platform. Free downloads.
- 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.
- Pentomino, Homepage - Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English)
- Thorleif's SOMA Page - SOMA puzzle site with graphics, newsletter and software.
- 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).
- 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)
- 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]
- Logical Art and the Art of Logic - Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.
- The Soma Cube - Soma-solving program in QBASIC by Courtney McFarren.
- Taniguchi's Programs - Windows software to solve polyiamond and sliding block puzzles.
- Pento-Mania - Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.
- R&A Media, Inc. - Manufactures wooden puzzles of polyomino type. Includes Prices, tips, hints and pages with solution counts.
- Cynthia Lanius' Lesson: Polyominoes Introduction - From tetris to hexominoes, Cynthia explains them in color.
- Pentomino applet - Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java].
- Java pentominoes - Thery families web site with pentomino solver. (English/French)[Java].
- 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.
- What is a Golygon? - Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column.
- Puzzle Fun - Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
- Blocking polyominos - Rodolfo Kurchan asks, for each k, what is the smallest polyomino such that k 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.
- Polyomino Fuzion game - Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links.
- A dissection puzzle - T. Sillke asks for dissections of two heptominoes into squares.
- The Mathematics of Polyominoes - Kevin Gong's home page includes articles, programs for Mac, Win and Java.
- square into similar triangles - T.Sillke discusses the dissection problem.
- my polyomino page - Michael Reid's numerous articles on polyominoes and tilnig, with references and links.
- Equilateral pentagons - Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions.
- 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.
- Flexagons - Folded paper polyiamonds which can be unfolded to show hidden faces. Make interesting school projects.
- Pentominoes - an introduction - Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
- Packing Polyominoes - 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.
- 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.
- Flexagons - Conrad and Hartline's 1962 article on Flexagons.
- Gerard's Pentomino Page - Illustrates the 12 shapes. symmetrical combinations.
- Golygons - Harry J. Smith's explains polyominoes with consecutive integer side lengths.
- Golygons by Mathworld - What they are, and how to find them.
- The Poly Pages - About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes. (Companion sites available in French/German/Italian, look up the respective languages under TOP:WORLD:...)
- 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.
- Polyform spirals - Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.
- 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.
- 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.
- 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.
- hexiamonds - George Huttlin explains and illustrates these shapes composed of 6 equilateral triangles, which in turn tiles different forms.
- George Huttlin's Puzzle Page - George Huttlin shares some ramblings in the world of polyominoes.
- Isoperimetric polygons - Livio Zucca tiles polygons of equal perimeter, or isoperiploes.
- Knight's Move Tessellations - Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves.
- 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.
- Lego Pentominos - Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
- Polygon Puzzle - Open source polyomino and polyform placement solitaire game.
- The MindBlock - R & A Media presents its puzzles including a chessboard cut into twelve interlocking polyominos.
- Polyomino applet - Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java]
- 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)
- Tiling of Pythagorean triplets - Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled.
- Soma cube applet - Mehta & Ward Alberg explains the soma cube and provides an applet for practice. Source codes included. [Java]
- Animal enumerations - Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
- Tesselating locking polyominos - Bob Newman examines the history of the subject and presents his minimal solutions.
- 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.
- 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]
- Random domino tiling of an Aztec diamond - Matthew Blum demonstrates the properties of random domino tiling of an Aztec diamond. Interactive graphics display.
- The Pentominoes Page - Jay Jenicek's page hosted by Puzzlecraft. Includes software for a game described on the page (2-3 players).
- 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).
- Pentomino Applet - Rujith de Silva's applet puzzle offers games of four different sized rectangles. [Java]
- 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.
- Dancing links - Don Knuth discusses implementation details of polyomino search algorithms.
- Polyomino tiling - . Joseph Myers classifies the n-ominoes up to n=15 according to how symmetrically they can tile the plane.
- Pentomino dissection of a square annulus - From Scott Kim's Inversions Gallery.
|