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| | | | | Show pages from IntraNet Show all pages | |
|
 |  | Animal Enumerations
- http://www.ieeta.pt/~tos/animals.html
- Enumeration on regular tilings of the Euclidean and Hyperbolic planes. | |
| | Anna's Pentomino Page
- http://www.geom.uiuc.edu/~summer95/gardberg/pent.html
- Anna Gardberg makes pentominoes out of sculpey and agate. | |
| | Arnab's Pentominos Puzzle
- http://www.geocities.com/hirak_99/goodies/pento.html
- Fast Pentominos puzzle solver, works on DOS/Windows platform. Free downloads. | |
| | Blocking Polyominos
- http://www.eldar.org/~problemi/pfun/blocked.html
- Rodolfo Kurchan searchss the smallest polyomino such that a particular number of copies can form a blocked pattern. With solutions. | |
| | Canonical Polygons
- http://sti.br.inter.net/rkyrmse/canonic-e.htm
- Ronald Kyrmse investigates grid polygons in which all side lengths are one or sqrt(2). | |
| | Christopher Monckton's Eternity Puzzle
- http://mathpuzzle.com/eternity.html
- 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
- http://www.cs.uwaterloo.ca/journals/JIS/HICK2/chcp.html
- Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.8. Defines and counts horizontal convexity. | |
| | Cynthia Lanius' Lesson: Polyominoes Introduction
- http://math.rice.edu/~lanius/Lessons/Polys/poly1.html
- From tetris to hexominoes, Cynthia explains them in color. | |
| | Dancing Links
- http://www-cs-faculty.stanford.edu/~knuth/papers/dancing-color.ps.gz
- Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format). | |
| | Equilateral Pentagons
- http://www.geocities.com/jorgeluismireles/equilaterals/
- Jorge Luis Mireles Jasso investigates these polygons and dissects various polyominos into them. Animations show cases of infinite solutions. | |
| | Eternity Page
- http://www.archduke.demon.co.uk/eternity/index.html
- Alex Selby's page with a description of his solution method, with illustrations in .png and .pdf files. | |
| | Flexagons
- http://delta.cs.cinvestav.mx/~mcintosh/comun/flexagon/flexagon.html
- Conrad and Hartline's 1962 article on Flexagons. | |
| | Gamepuzzles
- http://www.gamepuzzles.com/
- Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc. | |
| | Gerard's Pentomino Page
- http://www.xs4all.nl/~gp/pentomino.html
- Illustrates the 12 shapes. symmetrical combinations. | |
| | Gerard's Universal Polyomino Solver
- http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html
- 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 problem. [Java required]. | |
| | Golygons
- http://www.geocities.com/hjsmithh/Golygons/
- Harry J. Smith's explains polyominoes with consecutive integer side lengths. | |
| | Golygons by Mathworld
- http://mathworld.wolfram.com/Golygon.html
- What they are, and how to find them. | |
| | Harold McIntosh's Flexagon Papers
- http://delta.cs.cinvestav.mx/~mcintosh/oldweb/pflexagon.html
- Including copies of the original 1962 Conrad-Hartline papers. Abstract, html-pages, or .pdf documents. | |
| | Henri Picciotto's Geometric Puzzles in the Classroom
- http://www.picciotto.org/math-ed/puzzles/
- Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs. | |
| | Information on Pentomino Puzzles
- http://www.theory.csc.uvic.ca/~cos/inf/misc/PentInfo.html
- At the Combinatorial Object Server. | |
| | Isoperimetric Polygons
- http://www.geocities.com/liviozuc/polyedges.html
- Livio Zucca tiles polygons of equal perimeter, or isoperiploes. | |
| | Java pentominoes
- http://www.thery.free.fr/index.php?option=com_content&task=view&id=18&Itemid=44
- Thery families web site with pentomino solver. (English/French)[Java]. | |
| | Knight's Move Tessellations
- http://www.borderschess.org/KTtess.htm
- Dan Thomasson looks at tesselations with numerous unexpected shapes traced out by knight moves. | |
| | Lego Pentominos
- http://www.ericharshbarger.org/lego/pentominoes.html
- Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors. | |
| | Livio Zucca's polyomino-covered cube
- http://www.geocities.com/liviozuc/pag3_eng.html
- Colorful illustrations demonstrate how closed surfaces could be covered by polyominoes. | |
| | Logical Art and the Art of Logic
- http://www.basic.northwestern.edu/g-buehler/pentominoes/
- Pentomino pictures, software and other resources by Guenter Albrecht-Buehler. | |
| | Mathforum : Minimal Domino Tiling
- http://mathforum.org/wagon/spring97/p826.html
- Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997) | |
| | Mathforum : Tiling Rectangles from Ell
- http://mathforum.org/wagon/spring98/p856.html
- Stan Wagon asks which rectangles can be tiled with an ell-tromino. | |
| | Mathforum : a Pentomino Problem
- http://mathforum.org/pom/project2.95.html
- 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
- http://www.maths.soton.ac.uk/EMIS/journals/BAG/vol.35/no.1/b35h1har.abs
- 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
- http://www.vicher.cz/puzzle/
- Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech). | |
| | My Polyomino Page
- http://www.math.ucf.edu/~reid/Polyomino/index.html
- Michael Reid's numerous articles on polyominoes and tilnig, with references and links. | |
| | Packing Polyominoes
- http://www.users.bigpond.com/themichells/packing_pentominoes.htm
- 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
- http://www.stetson.edu/~efriedma/packing.html
- Erich Friedman's Introduction to a variety of packing and tiling problems. | |
| | Pairwise Touching Hypercubes
- http://www.stetson.edu/~efriedma/mathmagic/0903.html
- 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
- http://www.geocities.com/liviozuc/
- A container of mathematical games, gadgets and software. (English/Italian) | |
| | Pento
- http://ourworld.compuserve.com/homepages/DavidandPenny/Pento.htm
- Amamas Software offers a pentomino solving software. | |
| | Pento-Mania
- http://www.virtu-software.com/PentoMania/
- Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, try or buy. | |
| | Pentomino Applet
- http://www.fwend.com/pentomino.htm
- Fill up a given area using pentomino shapes, rotating and flipping them. Three levels of difficulty.[Java]. | |
| | Pentomino Applet
- http://www.cs.cmu.edu/~desilva/pento/pento.html
- Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java] | |
| | Pentomino Covers
- http://www.xprt.net/~munizao/polycover/
- Problems on minimal covers. | |
| | Pentomino Dissection of a Square Annulus
- http://www.scottkim.com/inversions/gallery/golomb.html
- From Scott Kim's Inversions Gallery. | |
| | Pentomino Homepage
- http://membres.lycos.fr/pentomino/index.html
- Lorente Philippe's site describes the building blocks, nomenclature, solutions, and numerous games. (French/English) | |
| | Pentomino HungarIQa
- http://www.pentomino.tvnet.hu/
- Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian] | |
| | Pentomino Puzzles.
- http://www.exi-online.de/html/eintritt_e.html
- Pentomino solver with download. Windows 95 and later required. [German/English] | |
| | Pentominoes
- http://www.andrews.edu/~calkins/math/pentos.htm
- Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects. | |
| | Pentominoes : an Introduction
- http://www.cimt.plymouth.ac.uk/resources/puzzles/pentoes/pentoint.htm
- Centre for Innovation in Mathematics Teaching presents colourful examples of many tiling problems, duplication, triplication, etc. | |
| | Pentominos
- http://www.mathematik.ch/anwendungenmath/pento/
- B. Berchtold's applet helps tile a 6x10 rectangle. [German] | |
| | Pentominos
- http://www.mathematische-basteleien.de/pentominos.htm
- Graphics problems, solutions (including animated GIF) and links. (English/German through main page) | |
| | Pentominos Puzzle Solver
- http://math.hws.edu/xJava/PentominosSolver/
- David Eck's graphical solver applet uses recursive technique. Source code available. [Java] | |
| | Polyform Spirals
- http://www.geocities.com/jorgeluismireles/spirals/
- Jorge Luis Mireles explains finite and infinite spirals made up of polyforms. | |
| | Polyform and Dissection Puzzle Links
- http://web.inter.nl.net/users/C.Eggermont/Links.new/Puzzles/Polyforms.and.dissection/index.noframe.shtml
- Christian Eggermont's link page. | |
| | Polyforms
- http://www.mathpuzzle.com/polyom.htm
- Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes. | |
| | Polygon Puzzle
- http://freshmeat.net/projects/hextk/
- Open source polyomino and polyform placement solitaire game. | |
| | Polyiamond Exclusion
- http://www.monmouth.com/~colonel/xpoly/xpoly.html
- 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
- http://mathforum.org/pow/solutio4.html
- Mathforum. This Geometry problem of the week asks whether a six-point star can be dissected to form eight distinct hexiamonds. | |
| | Polyomino Applet
- http://home.quicknet.nl/mw/prive/wil.laan/puzzle/cornucopia.html
- Wil Laan's applet searches for solution of packing hexominoes into more than 45 different shapes.[Java] | |
| | Polyomino Enumeration
- http://www.mathpages.com/home/kmath039.htm
- 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
- http://home.earthlink.net/~kenzelt/
- Puzzles using pentominoes and hexominoes. Fuzion, game that designs and (semi-)automatically finds solutions. Links. | |
| | Polyomino and Polyhex Tiling
- http://www.srcf.ucam.org/~jsm28/tiling/
- Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format. | |
| | Polyominoes
- http://members.tripod.com/~modularity/pol.htm
- Describes a numerical invariant that can be used to classify polyominoes. | |
| | Polyominoes
- http://www.geocities.com/alclarke0/PolyPages/Polyominoes.html
- Introduction to Tetrominoes, Pentominoes, Hexominoes, Heptominoes, Octominoes, Fixed (translation only) Polyominoes. Numerous Links. | |
| | Polyominoes: Theme and Variations
- http://homepages.cwi.nl/~jankok/etc/Polyomino.html
- 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. |
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