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Title: Math/Recreations/Polyominoes - 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).
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.

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]

Pentominos B. Berchtold's applet helps tile a 6x10 rectangle. [German]

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

Pentominos_Puzzle_Solver David Eck's graphical solver applet uses recursive technique. Source code available. [Java]

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

Polyform_and_Dissection_Puzzle_Links Christian Eggermont's link page.


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    Pentominoes___an_Introduction Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc.
    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]
    Pentominos B. Berchtold's applet helps tile a 6x10 rectangle. [German]
    Pentominos Graphics problems, solutions (including animated GIF) and links. (English/German through main page)
    Pentominos_Puzzle_Solver David Eck's graphical solver applet uses recursive technique. Source code available. [Java]
    The_Poly_Pages About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
    Polyform_and_Dissection_Puzzle_Links Christian Eggermont's link page.
    Polyform_Spirals Jorge Luis Mireles explains finite and infinite spirals made up of polyforms.
    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 po
    Polyiamonds Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds.
    Polyomino_and_Polyhex_Tiling Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format.
    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.
    Polyominoes Describes a numerical invariant that can be used to classify polyominoes.
    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 inve
    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.
    The_Soma_Cube Soma-solving program in QBASIC by Courtney McFarren.
    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.
    Thorleif\'s_SOMA_Page SOMA puzzle site with graphics, newsletter and software.
    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.
    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.
    The_Tiling_Puzzle_Games_of_OOG Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes.
    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_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.
    All_Girls_All_Math Annual Mathematics Summer Camp for High School Girls at the University of Nebraska Lincoln NE, USA. Eighth session: 18--24 July 2004.
    California_State_Summer_School_for_Mathematics_and_Science_(COSMOS) An academic four-week residential program for talented and motivated students who are completing grades 8-12.
    Canada_/_USA_Mathcamp A summer camp for mathematically talented and mathematically gifted high school students from around the world. It includes advanced mathematical topics not normally covered in high schools.
    HCSSiM Hampshire College Summer Studies in Mathematics for mathematically talented high school students. 2004 session: 4 July -- 14 August.
    Heriot-Watt/Edinburgh_Maths_Masterclass Masterclasses for the brightest mathematics school students in Lothian Region. The pupils, aged about 13, spend 2 1/2 hrs each Saturday studying recent developments in Mathematics.
    Hudson_River_Undergraduate_Mathematics_Conference A one-day mathematics conference held annually each Spring semester at rotating institutions, and attended by students and faculty from universities and colleges in New York and New England.
    MathCamp A classroom-focused mathematics resource for teachers on the elementary, middle and high school levels.
    Mathematics_Advanced_Study_Semester_(MASS) A comprehensive, semester-long mathematical environment for a group of talented undergraduate students recruited from throughout the United States, held at Penn State.
    Mathematics_Enrichment_Programme Centre for Teaching Mathematics, University of Plymouth. Extra-curricular activities for young people from primary through to VIth form who are able or interested in mathematics and its applications.
    Maths_Inspiration Events aimed at motivating UK pupils at year 11 and above to pursue mathematics and other critical thinking subjects to a higher level at school and beyond.
    Mathworks Texas State University - San Marcos: teacher programs, summer camps and mentoring.
    Oakland_University_Summer_Mathematics_Institute Rochester, MI, USA.
    PROMYS The Program in Mathematics for Young Scientists: a six-week summer program at Boston University.
    The_Ross_Program An intensive course in mathematics at the Ohio State University for pre-college students.
    Royal_Institution_Mathematics_Masterclasses The Royal Institution holds Mathematics Masterclasses in the Autumn and Spring terms of each year. Dates and links to local organisers.
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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

The Pentomino Dictionary by Gilles Esposito-Farèse 2008 December

dvd rental

dvd


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

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