Melibea Web Directory  |  Save your Bookmarks

Suggest a site 

Search: Options: entire directory this category only advanced

Top: Science: Math: Recreations: Polyominoes:

Polyominoes

» A Dissection Puzzle - T. Sillke asks for dissections of two heptominoes into squares. » A Pentominoes Project from Belgium - Secondary School project about pentominoes and fun with math. History, descriptions, and problems. Bi-monthly pentomino competition. A solver is available. [English, French, Dutch] » 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. » Arnab's Pentominos Puzzle - Fast Pentominos puzzle solver, works on DOS/Windows platform. Free downloads. » Blocking Polyominos - Rodolfo Kurchan searchss 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 12-30/60/90 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). » Eithan's Pentominoes-3D Applet Solver - Solves given Pentominoes 3D puzzles. Solution is displayed in 3-D with disassembly and rotations.[Java applet] » Equilateral Pentagons - Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions. » 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. » George Huttlin's Puzzle Page - George Huttlin shares some ramblings in the world of polyominoes. » 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. » Harold McIntosh's Flexagon Papers - Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, 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. » Hepto - Some packings of the 108 heptominoes (with unit thickness) into various blocks. » Hexiamonds - George Huttlin explains and illustrates these shapes composed of 6 equilateral triangles, which in turn tiles different forms. » Hyperbolic Planar Tessellations - Don Hatch's page on hyperbolic tesselations with numerous illustrations. » Information on Pentomino Puzzles - At the Combinatorial Object Server. » Isoperimetric Polygons - Livio Zucca tiles polygons of equal perimeter, or isoperiploes. » Java pentominoes - Thery families web site with pentomino solver. (English/French)[Java]. » 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. » Livio Zucca's polyomino-covered cube - Colorful illustrations demonstrate how closed surfaces could be covered by polyominoes. » Logical Art and the Art of Logic - Pentomino pictures, software and other resources by Guenter Albrecht-Buehler. » 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 ell-tromino. » Mathforum : a Pentomino Problem - 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 - 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 - 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 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). » 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. » 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*c-unit rectangular box into as many connected polycubes as possible with a shared face between every pair of polycubes. Answers provided. » Pentamini Pentaminos Pentominoes - A container of mathematical games, gadgets and software. (English/Italian) » Pento - Amamas Software offers a pentomino solving software. » Pento-Mania - 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. » Pentomino Dissection of a Square Annulus - From Scott Kim's Inversions Gallery. » Pentomino Homepage - Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English) » Pentomino HungarIQa - Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian] » Pentomino Puzzles. - Pentomino solver with download. Windows 95 and later required. [German/English] » Pentomino Relationships - Symmetries in the families of rectangular solutions. » Pentominoes - Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb 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 - 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] » Polyform Spirals - Jorge Luis Mireles explains finite and infinite spirals made up of polyforms. » 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. » 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. » Polyiamonds - Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds. » Polyomino Applet - Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java] » 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. » Polyomino Fuzion Game - Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links. » Polyomino Tiling - Joseph Myers classifies the n-ominoes up to n=15 according to how symmetrically they can tile the plane. » Polyomino and Polyhex Tiling - Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format. » Polyominoes - Introduction to Tetrominoes, Pentominoes, Hexominoes, Heptominoes, Octominoes, Fixed (translation only) Polyominoes. Numerous Links. » Polyominoes: Theme and Variations - Jankok presents information about filling rectangles, other polygons, boxes, etc., with dominoes, trominoes, tetrominoes, pentominoes, solid pentominoes, hexiamonds, and whatever else people have invented as variations of a theme. References included. » Polyominoids - Jorge Luis Mireles Jasso presents connected sets of squares in a 3d cubical lattice. Includes a Java applet as well as non-animated description. » Polypolygon Tilings - S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics. » Primes of a 14-omino - 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. » Random Domino Tiling of an Aztec Diamond - Matthew Blum's undergraduate project demonstrates the properties of random domino tiling of an Aztec diamond. Interactive graphics display included. » Rectifiable Polyomino - Karl Dahlke explains and demonstrates tiling. Includes C-program source. » Schröder Triangles, Paths, and Parallelogram Polyominoes - A paper on their enumeration by Elisa Pergola and Robert A. Sulanke. » 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. » Solomon W. Golomb - Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list. » Soma Cube Applet - Mehta & Ward Alberg explains the soma cube and provides an applet for practice. Source codes included. [Java] » 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. » Square into Similar Triangles - T.Sillke discusses the dissection problem. » Taniguchi's Programs - Windows software to solve polyiamond and sliding block puzzles. » Tesselating Locking Polyominos - Bob Newman examines the history of the subject and presents his minimal solutions. » The Geometry Junkyard: Polyominoes - Numerous links, sorted alphabetically. » 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. » 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). » The Poly Pages - About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes. » The Soma Cube - Soma-solving program in QBASIC by Courtney McFarren. » 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). » The Tiling Puzzle Games of OOG - Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes. » Thorleif's SOMA Page - SOMA puzzle site with graphics, newsletter and software. » Three Nice Pentomino Coloring Problems - Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games. » Tiling Rectangles and Half Strips with Congruent Polyominoes - Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A". » Tiling Stuff - 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 - Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A". » Tiling and Packing Results of Torsten Sillke - Polyominoes, polycubes and polyspheres. » Tiling of Pythagorean Triplets - Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled. » 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 tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java] » 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. » What is a Golygon? - Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column. » 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.

Last Updated: 2007-02-24 01:57:39