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Polyominoes (113)

Editor's Picks:

http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html   » Gerard's Universal Polyomino Solver Open in a new browser window
   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
   http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html


Sites:

http://home.scarlet.be/~demeod/   » A Pentominoes Project from Belgium Open in a new browser window
   Secondary School project about pentominoes and fun with math. History, descriptions, and problems. Bi-monthly pentomino competition. A solver is available. [English, French, Dutch]
   http://home.scarlet.be/~demeod/

http://www.math.uic.edu/~fields/puzzle/puzzle.html   » A Puzzle by Enrich Friedman Open in a new browser window
   Every square can be dissected into L-ominoes. Can every Pythagorean square? Conjecture needs proof.
   http://www.math.uic.edu/~fields/puzzle/puzzle.html

http://www.mathematik.uni-bielefeld.de/~sillke/CONTEST/h7-square   » A dissection puzzle Open in a new browser window
   T. Sillke asks for dissections of two heptominoes into squares.
   http://www.mathematik.uni-bielefeld.de/~sillke/CONTEST/h7-square

http://www.ieeta.pt/~tos/animals.html   » Animal enumerations Open in a new browser window
   Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
   http://www.ieeta.pt/~tos/animals.html

http://www.geom.uiuc.edu/~summer95/gardberg/pent.html   » Anna's Pentomino Page Open in a new browser window
   Anna Gardberg makes pentominoes out of sculpey and agate.
   http://www.geom.uiuc.edu/~summer95/gardberg/pent.html

http://www.geocities.com/hirak_99/goodies/pento.html   » Arnab's Pentominos Puzzle Open in a new browser window
   Fast Pentominos puzzle solver, works on DOS/Windows platform. Free downloads.
   http://www.geocities.com/hirak_99/goodies/pento.html

http://www.eldar.org/~problemi/pfun/blocked.html   » Blocking polyominos Open in a new browser window
   Rodolfo Kurchan asks, for each k, what is the smallest polyomino such that k copies can form a blocked pattern. With solutions.
   http://www.eldar.org/~problemi/pfun/blocked.html

http://sti.br.inter.net/rkyrmse/canonic-e.htm   » Canonical polygons Open in a new browser window
   Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2).
   http://sti.br.inter.net/rkyrmse/canonic-e.htm

http://mathpuzzle.com/eternity.html   » Christopher Monckton's Eternity Puzzle Open in a new browser window
   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.
   http://mathpuzzle.com/eternity.html

http://www.cs.uwaterloo.ca/journals/JIS/HICK2/chcp.html   » Counting Horizontally Convex Polyominoes Open in a new browser window
   Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity.
   http://www.cs.uwaterloo.ca/journals/JIS/HICK2/chcp.html

http://math.rice.edu/~lanius/Lessons/Polys/poly1.html   » Cynthia Lanius' Lesson: Polyominoes Introduction Open in a new browser window
   From tetris to hexominoes, Cynthia explains them in color.
   http://math.rice.edu/~lanius/Lessons/Polys/poly1.html

http://www-cs-faculty.stanford.edu/~knuth/papers/dancing-color.ps.gz   » Dancing links Open in a new browser window
   Don Knuth discusses implementation details of polyomino search algorithms.
   http://www-cs-faculty.stanford.edu/~knuth/papers/dancing-color.ps.gz

http://www.panda.co.il/eithan/pento/Pentominoes3D.html   » Eithan's Pentominoes-3D Applet Solver Open in a new browser window
   Solves given Pentominoes 3D puzzles. Solution is displayed in 3-D with disassembly and rotations. General information and data. [requires Java]
   http://www.panda.co.il/eithan/pento/Pentominoes3D.html

http://www.geocities.com/jorgeluismireles/equilaterals/   » Equilateral pentagons Open in a new browser window
   Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions.
   http://www.geocities.com/jorgeluismireles/equilaterals/

http://www.archduke.demon.co.uk/eternity/index.html   » Eternity Page Open in a new browser window
   Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files.
   http://www.archduke.demon.co.uk/eternity/index.html

http://delta.cs.cinvestav.mx/~mcintosh/comun/flexagon/flexagon.html   » Flexagons Open in a new browser window
   Conrad and Hartline's 1962 article on Flexagons.
   http://delta.cs.cinvestav.mx/~mcintosh/comun/flexagon/flexagon.html

http://www.gamepuzzles.com/   » Gamepuzzles Open in a new browser window
   Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc.
   http://www.gamepuzzles.com/

http://members.aol.com/huttlin/pentominoes.html   » George Huttlin's Puzzle Page Open in a new browser window
   George Huttlin shares some ramblings in the world of polyominoes.
   http://members.aol.com/huttlin/pentominoes.html

http://www.xs4all.nl/~gp/pentomino.html   » Gerard's Pentomino Page Open in a new browser window
   Illustrates the 12 shapes. symmetrical combinations.
   http://www.xs4all.nl/~gp/pentomino.html

http://www.geocities.com/hjsmithh/Golygons/   » Golygons Open in a new browser window
   Harry J. Smith's explains polyominoes with consecutive integer side lengths.
   http://www.geocities.com/hjsmithh/Golygons/

http://mathworld.wolfram.com/Golygon.html   » Golygons by Mathworld Open in a new browser window
   What they are, and how to find them.
   http://mathworld.wolfram.com/Golygon.html

http://delta.cs.cinvestav.mx/~mcintosh/oldweb/pflexagon.html   » Harold McIntosh's flexagon papers Open in a new browser window
   Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents.
   http://delta.cs.cinvestav.mx/~mcintosh/oldweb/pflexagon.html

http://www.picciotto.org/math-ed/puzzles/   » Henri Picciotto's Geometric Puzzles in the Classroom Open in a new browser window
   Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs.
   http://www.picciotto.org/math-ed/puzzles/

http://www.pisquaredoversix.force9.co.uk/Hepto.htm   » Hepto Open in a new browser window
   Some packings of the 108 heptominoes (with unit thickness) into various blocks.
   http://www.pisquaredoversix.force9.co.uk/Hepto.htm

http://www.hadron.org/~hatch/HyperbolicTesselations/   » Hyperbolic planar tessellations Open in a new browser window
   Don Hatch's page on hyperbolic tesselations with numerous illustrations.
   http://www.hadron.org/~hatch/HyperbolicTesselations/

http://www.theory.csc.uvic.ca/~cos/inf/misc/PentInfo.html   » Information on Pentomino Puzzles Open in a new browser window
   At the Combinatorial Object Server.
   http://www.theory.csc.uvic.ca/~cos/inf/misc/PentInfo.html

http://www.geocities.com/liviozuc/polyedges.html   » Isoperimetric polygons Open in a new browser window
   Livio Zucca tiles polygons of equal perimeter, or isoperiploes.
   http://www.geocities.com/liviozuc/polyedges.html

http://www.thery.free.fr/index.php?option=com_content&task=view&id=18&Itemid=44   » Java pentominoes Open in a new browser window
   Thery families web site with pentomino solver. (English/French)[Java].
   http://www.thery.free.fr/index.php?option=com_content&task=view&id=18&Itemid=44

http://www.borderschess.org/KTtess.htm   » Knight's Move Tessellations Open in a new browser window
   Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves.
   http://www.borderschess.org/KTtess.htm

http://www.ericharshbarger.org/lego/pentominoes.html   » Lego Pentominos Open in a new browser window
   Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors.
   http://www.ericharshbarger.org/lego/pentominoes.html

http://www.geocities.com/liviozuc/pag3_eng.html   » Livio Zucca's polyomino-covered cube Open in a new browser window
   Colorful illustrations demonstrate how closed surfaces could be covered by polyominoes.
   http://www.geocities.com/liviozuc/pag3_eng.html

http://www.basic.northwestern.edu/g-buehler/pentominoes/   » Logical Art and the Art of Logic Open in a new browser window
   Pentomino pictures, software and other resources by Guenter Albrecht-Buehler.
   http://www.basic.northwestern.edu/g-buehler/pentominoes/

http://mathforum.org/wagon/spring98/p856.html   » Mathforum : Tiling rectangles from ell Open in a new browser window
   Stan Wagon asks which rectangles can be tiled with an ell-tromino.
   http://mathforum.org/wagon/spring98/p856.html

http://mathforum.org/pom/project2.95.html   » Mathforum : a pentomino problem Open in a new browser window
   from the Geometry Forum. Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995)
   http://mathforum.org/pom/project2.95.html

http://mathforum.org/wagon/spring97/p826.html   » Mathforum : minimal domino tiling Open in a new browser window
   Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
   http://mathforum.org/wagon/spring97/p826.html

http://www.maths.soton.ac.uk/EMIS/journals/BAG/vol.35/no.1/b35h1har.abs   » Maximum convex hulls of connected systems of segments and of polyominoes Open in a new browser window
   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.)
   http://www.maths.soton.ac.uk/EMIS/journals/BAG/vol.35/no.1/b35h1har.abs

http://alpha.ujep.cz/~vicher/puzzle/   » Miroslav Vicher's Puzzles Pages Open in a new browser window
   Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
   http://alpha.ujep.cz/~vicher/puzzle/

http://arxiv.org/PS_cache/math/pdf/9812/9812075.pdf   » Packing Ferrers Shapes Open in a new browser window
   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).
   http://arxiv.org/PS_cache/math/pdf/9812/9812075.pdf

http://www.stetson.edu/~efriedma/packing.html   » Packing Polyominoes Open in a new browser window
   Erich Friedman's Introduction to a variety of packing and tiling problems.
   http://www.stetson.edu/~efriedma/packing.html

http://www.users.bigpond.com/themichells/packing_pentominoes.htm   » Packing polyominoes Open in a new browser window
   Mark Michell investigates packing pentominoes into rectangles of various non-integer aspect ratios in order to obtain the largest possible pieces using straight cuts.
   http://www.users.bigpond.com/themichells/packing_pentominoes.htm

http://www.stetson.edu/~efriedma/mathmagic/0903.html   » Pairwise touching hypercubes Open in a new browser window
   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.
   http://www.stetson.edu/~efriedma/mathmagic/0903.html

http://www.geocities.com/liviozuc/   » Pentamini pentaminos pentominoes Open in a new browser window
   A container of mathematical games, gadgets and software. (English/Italian)
   http://www.geocities.com/liviozuc/

http://ourworld.compuserve.com/homepages/DavidandPenny/Pento.htm   » Pento Open in a new browser window
   Amamas Software offers a pentomino solving software.
   http://ourworld.compuserve.com/homepages/DavidandPenny/Pento.htm

http://www.virtu-software.com/PentoMania/   » Pento-Mania Open in a new browser window
   Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy.
   http://www.virtu-software.com/PentoMania/

http://www.cs.cmu.edu/~desilva/pento/pento.html   » Pentomino Applet Open in a new browser window
   Rujith de Silva's applet puzzle offers games of four different sized rectangles. [Java]
   http://www.cs.cmu.edu/~desilva/pento/pento.html

http://www.xprt.net/~munizao/polycover/   » Pentomino Covers Open in a new browser window
   Problems on minimal covers.
   http://www.xprt.net/~munizao/polycover/

http://www.pentomino.tvnet.hu/   » Pentomino HungarIQa Open in a new browser window
   Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian]
   http://www.pentomino.tvnet.hu/

http://www.snaffles.demon.co.uk/pentanomes/pentanomes.html   » Pentomino Relationships Open in a new browser window
   Symmetries in the families of rectangular solutions.
   http://www.snaffles.demon.co.uk/pentanomes/pentanomes.html

http://www.fwend.com/pentomino.htm   » Pentomino applet Open in a new browser window
   Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java].
   http://www.fwend.com/pentomino.htm

http://www.scottkim.com/inversions/gallery/golomb.html   » Pentomino dissection of a square annulus Open in a new browser window
   From Scott Kim's Inversions Gallery.
   http://www.scottkim.com/inversions/gallery/golomb.html

http://membres.lycos.fr/pentomino/index.html   » Pentomino, Homepage Open in a new browser window
   Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English)
   http://membres.lycos.fr/pentomino/index.html

http://www.andrews.edu/~calkins/math/pentos.htm   » Pentominoes Open in a new browser window
   Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.
   http://www.andrews.edu/~calkins/math/pentos.htm

http://www.ex.ac.uk/cimt/puzzles/pentoes/pentoint.htm   » Pentominoes - an introduction Open in a new browser window
   Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
   http://www.ex.ac.uk/cimt/puzzles/pentoes/pentoint.htm

http://www.exi-online.de/html/eintritt_e.html   » Pentominopuzzles. Open in a new browser window
   Pentomino solver with download. Windows 95 and later required. [German/English]
   http://www.exi-online.de/html/eintritt_e.html

http://www.mathematik.ch/anwendungenmath/pento/   » Pentominos Open in a new browser window
   B. Berchtold's applet helps tile a 6x10 rectangle. [German]
   http://www.mathematik.ch/anwendungenmath/pento/

http://math.hws.edu/xJava/PentominosSolver/   » Pentominos Puzzle Solver Open in a new browser window
   David Eck's graphical solver applet uses recursive technique. Source code available. [Java]
   http://math.hws.edu/xJava/PentominosSolver/

http://web.inter.nl.net/users/C.Eggermont/Links.new/Puzzles/Polyforms.and.dissection/index.noframe.shtml   » Polyform and dissection puzzle links Open in a new browser window
   Christian Eggermont's link page.
   http://web.inter.nl.net/users/C.Eggermont/Links.new/Puzzles/Polyforms.and.dissection/index.noframe.shtml

http://www.geocities.com/jorgeluismireles/spirals/index.html   » Polyform spirals Open in a new browser window
   Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.
   http://www.geocities.com/jorgeluismireles/spirals/index.html

http://www.mathpuzzle.com/polyom.htm   » Polyforms Open in a new browser window
   . Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes.
   http://www.mathpuzzle.com/polyom.htm

http://freshmeat.net/projects/hextk/   » Polygon Puzzle Open in a new browser window
   Open source polyomino and polyform placement solitaire game.
   http://freshmeat.net/projects/hextk/

http://www.monmouth.com/~colonel/xpoly/xpoly.html   » Polyiamond exclusion Open in a new browser window
   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.
   http://www.monmouth.com/~colonel/xpoly/xpoly.html

http://mathforum.org/pow/solutio4.html   » Polyiamonds Open in a new browser window
   Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds.
   http://mathforum.org/pow/solutio4.html

http://home.earthlink.net/~kenzelt/   » Polyomino Fuzion game Open in a new browser window
   Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links.
   http://home.earthlink.net/~kenzelt/

http://student.cusu.cam.ac.uk/~jsm28/tiling/   » Polyomino and Polyhex Tiling Open in a new browser window
   Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
   http://student.cusu.cam.ac.uk/~jsm28/tiling/

http://home.quicknet.nl/mw/prive/wil.laan/puzzle/cornucopia.html   » Polyomino applet Open in a new browser window
   Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java]
   http://home.quicknet.nl/mw/prive/wil.laan/puzzle/cornucopia.html

http://www.mathpages.com/home/kmath039.htm   » Polyomino enumeration Open in a new browser window
   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.
   http://www.mathpages.com/home/kmath039.htm

http://homepages.cwi.nl/~jankok/etc/Polyomino.html   » Polyomino problems and variations of a theme Open in a new browser window
   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.
   http://homepages.cwi.nl/~jankok/etc/Polyomino.html

http://www.srcf.ucam.org/~jsm28/tiling/   » Polyomino tiling Open in a new browser window
   . Joseph Myers classifies the n-ominoes up to n=15 according to how symmetrically they can tile the plane.
   http://www.srcf.ucam.org/~jsm28/tiling/

http://www.geocities.com/alclarke0/PolyPages/Polyominoes.html   » Polyominoes Open in a new browser window
   Introduction to Tetrominoes, Pentominoes, Hexominoes, Heptominoes, Octominoes, Fixed (translation only) Polyominoes. Numerous Links.
   http://www.geocities.com/alclarke0/PolyPages/Polyominoes.html

http://www.cwi.nl/~jankok/etc/Polyomino.html   » Polyominoes: Theme and Variations Open in a new browser window
   A brief essay with some references.
   http://www.cwi.nl/~jankok/etc/Polyomino.html

http://www.geocities.com/jorgeluismireles/polyominoids/   » Polyominoids Open in a new browser window
   Jorge Luis Mireles Jasso presents connected sets of squares in a 3d cubical lattice. Includes a Java applet as well as non-animated description.
   http://www.geocities.com/jorgeluismireles/polyominoids/

http://www.uwgb.edu/dutchs/symmetry/polypoly.htm   » Polypolygon tilings Open in a new browser window
   S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
   http://www.uwgb.edu/dutchs/symmetry/polypoly.htm

http://www.math.ucf.edu/~reid/Polyomino/14omino02_rect.html   » Primes of a 14-omino Open in a new browser window
   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.
   http://www.math.ucf.edu/~reid/Polyomino/14omino02_rect.html

http://www.eldar.org/~problemi/pfun/pfun.html   » Puzzle Fun Open in a new browser window
   Newsletter edited by Rodolfo Kurchan about pentominoes and other math problems.
   http://www.eldar.org/~problemi/pfun/pfun.html

http://www.math.wisc.edu/~propp/tiling/www/index.html   » Random domino tiling of an Aztec diamond Open in a new browser window
   Matthew Blum demonstrates the properties of random domino tiling of an Aztec diamond. Interactive graphics display.
   http://www.math.wisc.edu/~propp/tiling/www/index.html

http://www.eklhad.net/polyomino/index.html   » Rectifiable polyomino Open in a new browser window
   Karl Dahlke explains and demonstrates tiling. Includes C-program source.
   http://www.eklhad.net/polyomino/index.html

http://diamond.boisestate.edu/~sulanke/PAPER1/PergolaSulanke/PergolaSulanke.html   » Schröder Triangles, Paths, and Parallelogram Polyominoes Open in a new browser window
   A paper on their enumeration by Elisa Pergola and Robert A. Sulanke.
   http://diamond.boisestate.edu/~sulanke/PAPER1/PergolaSulanke/PergolaSulanke.html

http://mathforum.org/pow/solution22.html   » Six squares problem Open in a new browser window
   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.
   http://mathforum.org/pow/solution22.html

http://commsci.usc.edu/faculty/golomb.html   » Solomon W. Golomb Open in a new browser window
   Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list.
   http://commsci.usc.edu/faculty/golomb.html

http://users.ids.net/~salberg/soma/Soma.html   » Soma cube applet Open in a new browser window
   Mehta & Ward Alberg explains the soma cube and provides an applet for practice. Source codes included. [Java]
   http://users.ids.net/~salberg/soma/Soma.html

http://www.moerig.com/somatic/   » Somatic Open in a new browser window
   A solver for arbitrary polyomino and polycube puzzles. Binary code and source downloads available.
   http://www.moerig.com/somatic/

http://homepage2.nifty.com/yuki-tani/index_e.html   » Taniguchi's Programs Open in a new browser window
   Windows software to solve polyiamond and sliding block puzzles.
   http://homepage2.nifty.com/yuki-tani/index_e.html

http://www.noggs.dsl.pipex.com/ts/index.htm   » Tesselating locking polyominos Open in a new browser window
   Bob Newman examines the history of the subject and presents his minimal solutions.
   http://www.noggs.dsl.pipex.com/ts/index.htm

http://www.ics.uci.edu/~eppstein/junkyard/polyomino.html   » The Geometry Junkyard: Polyominoes Open in a new browser window
   Numerous links, sorted alphabetically.
   http://www.ics.uci.edu/~eppstein/junkyard/polyomino.html

http://kevingong.com/Polyominoes/Math.html   » The Mathematics of Polyominoes Open in a new browser window
   Kevin Gong's home page includes articles, programs for Mac, Win and Java.
   http://kevingong.com/Polyominoes/Math.html

http://www.iap.fr/users/esposito/pento.html   » The Pentomino-Dictionary by Gilles Esposito-Farèse Open in a new browser window
   English words that can be written using the pentomino name letters FILNPTUVWXYZ and other related curiosities, including a homage to Georges Perec. (English/French).
   http://www.iap.fr/users/esposito/pento.html

http://www.recmath.com/PolyPages/   » The Poly Pages Open in a new browser window
   About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
   http://www.recmath.com/PolyPages/

http://www.geocities.com/abcmcfarren/soma/soma.htm   » The Soma Cube Open in a new browser window
   Soma-solving program in QBASIC by Courtney McFarren.
   http://www.geocities.com/abcmcfarren/soma/soma.htm

http://www.kevingong.com/Polyominoes/   » The mathematics of polyominoes Open in a new browser window
   Kevin Gong offers download of his polyominoes games shareware for Windows and Mac. 100 boards are included. A Java version is in the works.
   http://www.kevingong.com/Polyominoes/

http://www.combinatorics.org/Volume_3/Abstracts/v3i1r27.html   » The three dimensional polyominoes of minimal area Open in a new browser window
   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).
   http://www.combinatorics.org/Volume_3/Abstracts/v3i1r27.html

http://www.mcmprod.com/   » The tiling puzzle games of OOG Open in a new browser window
   Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes.
   http://www.mcmprod.com/

http://www.fam-bundgaard.dk/SOMA/SOMA.HTM   » Thorleif's SOMA Page Open in a new browser window
   SOMA puzzle site with graphics, newsletter and software.
   http://www.fam-bundgaard.dk/SOMA/SOMA.HTM

http://xprt.net/~munizao/mathrec/pentcol.html   » Three nice pentomino coloring problems Open in a new browser window
   Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
   http://xprt.net/~munizao/mathrec/pentcol.html

http://www.math.wisc.edu/~propp/tiling/   » Tiling UROP Homepage Open in a new browser window
   Undergraduate Research Project in Random Tilings.
   http://www.math.wisc.edu/~propp/tiling/

http://www.math.ucf.edu/~reid/Research/Eight/index.html   » Tiling a square with eight congruent polyominoes Open in a new browser window
   Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
   http://www.math.ucf.edu/~reid/Research/Eight/index.html

http://www.mathematik.uni-bielefeld.de/~sillke/results.html   » Tiling and Packing Results of Torsten Sillke Open in a new browser window
   Polyominoes, polycubes and polyspheres.
   http://www.mathematik.uni-bielefeld.de/~sillke/results.html

http://www2.math.uic.edu/~fields/puzzle/puzzle.html   » Tiling of Pythagorean triplets Open in a new browser window
   Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled.
   http://www2.math.uic.edu/~fields/puzzle/puzzle.html

http://www.math.ucf.edu/~reid/Research/Halfstrip/index.html   » Tiling rectangles and half strips with congruent polyominoes Open in a new browser window
   Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
   http://www.math.ucf.edu/~reid/Research/Halfstrip/index.html

http://www.math.ufl.edu/~squash/   » Tiling stuff Open in a new browser window
   Jonathan King examines problems of determining whether a given rectangular brick can be tiled by certain smaller bricks. Includes numerous articles in .pdf format.
   http://www.math.ufl.edu/~squash/

http://www.math.ucf.edu/~reid/Research/Notched/index.html   » Tiling with notched cubes Open in a new browser window
   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".
   http://www.math.ucf.edu/~reid/Research/Notched/index.html

http://www.angelfire.com/mn3/anisohedral/unbalanced.html   » Unbalanced anisohedral tiling Open in a new browser window
   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.
   http://www.angelfire.com/mn3/anisohedral/unbalanced.html

http://www.geom.uiuc.edu/java/tetris/   » Unbeatable Tetris Open in a new browser window
   Java applet demonstres that this tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java]
   http://www.geom.uiuc.edu/java/tetris/

http://www.apperceptual.com/tesseract.html   » Unfolding the tesseract Open in a new browser window
   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.
   http://www.apperceptual.com/tesseract.html

http://www.geocities.com/hjsmithh/Golygons/GolyWhat.html   » What is a Golygon? Open in a new browser window
   Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column.
   http://www.geocities.com/hjsmithh/Golygons/GolyWhat.html

http://www.geocities.com/liviozuc/xominoes.html   » Xominoes Open in a new browser window
   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.
   http://www.geocities.com/liviozuc/xominoes.html

http://members.aol.com/huttlin/hexiamonds.html   » hexiamonds Open in a new browser window
   George Huttlin explains and illustrates these shapes composed of 6 equilateral triangles, which in turn tiles different forms.
   http://members.aol.com/huttlin/hexiamonds.html

http://www.math.ucf.edu/~reid/Polyomino/index.html   » my polyomino page Open in a new browser window
   Michael Reid's numerous articles on polyominoes and tilnig, with references and links.
   http://www.math.ucf.edu/~reid/Polyomino/index.html

http://www.lrdev.com/lr/c/sqfig.html   » sqfig and sqtile Open in a new browser window
   Eric Laroche presents computer programs for generating polyominoes and polyomino tilings. Includes source codes in C, and binaries.
   http://www.lrdev.com/lr/c/sqfig.html

http://www.mathematik.uni-bielefeld.de/~sillke/PROBLEMS/similar.tri   » square into similar triangles Open in a new browser window
   T.Sillke discusses the dissection problem.
   http://www.mathematik.uni-bielefeld.de/~sillke/PROBLEMS/similar.tri


Category Editor: mathmate

Last Updated: 2006-07-03 03:00:00



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