Polyominoes Websites

Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.

Kevin Gong offers download of his polyominoes games shareware for Windows and Mac. 100 boards are included. A Java version is under development.

Describes a numerical invariant that can be used to classify polyominoes.

Numerous links, sorted alphabetically.

A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.

Graphics problems, solutions (including animated GIF) and links. (English/German through main page)

Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.

Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.

A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.

Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.

Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.

Rodolfo Kurchan searches the smallest polyomino such that a particular number of copies can form a blocked pattern. With solutions.

Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2).

Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.

Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.

Karl Dahlke explains and demonstrates tiling. Includes C-program source.

What they are, and how to find them.

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.

Java applet demonstres that this tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java]

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.

Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.

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.)

Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)

Enumeration on regular tilings of the Euclidean and Hyperbolic planes.

Stan Wagon asks which rectangles can be tiled with an ell-tromino.

Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).

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.

Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)

S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.

About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.

Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]

English words that can be written using the pentomino name letters FILNPTUVWXYZ and other related curiosities, including a homage to Georges Perec. (English/French).

Topics include exclusion, compatibility, and wallpaper. Includes examples and charts.

Symmetries in the families of rectangular solutions.

Open source polyomino and polyform placement solitaire game.