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  Polyominoes (96)

Featured Websites in this category
http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html
Featured Site Gerard's Universal Polyomino Solver Open in a new browser windowLink Details
- 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

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Regular Websites in this category

Pentominoes : an Introduction Open in a new windowLink Details
- Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
- http://www.cimt.plymouth.ac.uk/resources/puzzles/pentoes/pentoint.htm

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Eithan's Pentominoes-3D Applet Solver Open in a new windowLink Details
- Solves given Pentominoes 3D puzzles. Solution is displayed in 3-D with disassembly and rotations.[Java applet]
- http://www.panda.co.il/eithan/pento/Pentominoes3D.html

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Tiling Stuff Open in a new windowLink Details
- 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/tilingstuff.html

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Random Domino Tiling of an Aztec Diamond Open in a new windowLink Details
- Matthew Blum's undergraduate project demonstrates the properties of random domino tiling of an Aztec diamond. Interactive graphics display included.
- http://www.math.wisc.edu/~propp/tiling/

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Miroslav Vicher's Puzzles Pages Open in a new windowLink Details
- Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech).
- http://www.vicher.cz/puzzle/

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Pairwise Touching Hypercubes Open in a new windowLink Details
- 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

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Hyperbolic Planar Tessellations Open in a new windowLink Details
- Don Hatch's page on hyperbolic tesselations with numerous illustrations.
- http://www.hadron.org/~hatch/HyperbolicTesselations/

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

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Tiling with Notched Cubes Open in a new windowLink Details
- 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/

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The Tiling Puzzle Games of OOG Open in a new windowLink Details
- Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes.
- http://www.mcmprod.com/

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Tiling a Square With Eight Congruent Polyominoes Open in a new windowLink Details
- Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
- http://www.math.ucf.edu/~reid/Research/Eight/

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Tiling Rectangles and Half Strips with Congruent Polyominoes Open in a new windowLink Details
- Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
- http://www.math.ucf.edu/~reid/Research/Halfstrip/

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Primes of a 14-omino Open in a new windowLink Details
- 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

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

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Pento Open in a new windowLink Details
- Amamas Software offers a pentomino solving software.
- http://ourworld.compuserve.com/homepages/DavidandPenny/Pento.htm

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A Pentominoes Project from Belgium Open in a new windowLink Details
- 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/

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

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

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Polypolygon Tilings Open in a new windowLink Details
- S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics.
- http://www.uwgb.edu/dutchs/symmetry/polypoly.htm

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Mathforum : a Pentomino Problem Open in a new windowLink Details
- 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

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Polyomino Enumeration Open in a new windowLink Details
- 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

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Pentomino Dissection of a Square Annulus Open in a new windowLink Details
- From Scott Kim's Inversions Gallery.
- http://www.scottkim.com/inversions/gallery/golomb.html

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Polyomino Tiling Open in a new windowLink Details
- 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/

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Dancing Links Open in a new windowLink Details
- Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format).
- http://www-cs-faculty.stanford.edu/~knuth/papers/dancing-color.ps.gz

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Packing Polyominoes Open in a new windowLink Details
- 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

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Pentomino Applet Open in a new windowLink Details
- Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java]
- http://www.cs.cmu.edu/~desilva/pento/pento.html

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

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

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Three Nice Pentomino Coloring Problems Open in a new windowLink Details
- Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games.
- http://xprt.net/~munizao/mathrec/pentcol.html

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The Three Dimensional Polyominoes of Minimal Area Open in a new windowLink Details
- 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

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Tesselating Locking Polyominos Open in a new windowLink Details
- Bob Newman examines the history of the subject and presents his minimal solutions.
- http://www.noggs.dsl.pipex.com/ts/

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Animal Enumerations Open in a new windowLink Details
- Enumeration on regular tilings of the Euclidean and Hyperbolic planes.
- http://www.ieeta.pt/~tos/animals.html

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Soma Cube Applet Open in a new windowLink Details
- 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

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

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Mathforum : Minimal Domino Tiling Open in a new windowLink Details
- Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997)
- http://mathforum.org/wagon/spring97/p826.html

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Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes Open in a new windowLink Details
- 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

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Polyomino Applet Open in a new windowLink Details
- 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

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Polygon Puzzle Open in a new windowLink Details
- Open source polyomino and polyform placement solitaire game.
- http://freshmeat.net/projects/hextk/

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

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The Mathematics of Polyominoes Open in a new windowLink Details
- Kevin Gong offers download of his polyominoes games shareware for Windows and Mac. 100 boards are included. A Java version is under development.
- http://www.kevingong.com/Polyominoes/

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

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

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Hexiamonds Open in a new windowLink Details
- 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

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