Mathematicians

Polygon Puzzle Polygon Puzzle- Open source polyomino and polyform placement solitaire game. Polyomino and Polyhex Tiling Polyomino and Polyhex Tiling- Joseph Myer's tables of polyominoes and of polyomino tilings, in Postscript format. Henri Picciotto's Geometric Puzzles in the Classroom Henri Picciotto's Geometric Puzzles in the Classroom- Polyform puzzle lessons for math educators to use with their students, including polyominoes, supertangrams, and polyarcs. Pentomino Relationships Pentomino Relationships- Symmetries in the families of rectangular solutions. Hyperbolic Planar Tessellations Hyperbolic Planar Tessellations- Don Hatch's page on hyperbolic tesselations with numerous illustrations. Polyform Curiosities Polyform Curiosities- Topics include exclusion, compatibility, and wallpaper. Includes examples and charts. The Pentomino Dictionary by Gilles Esposito-Farèse 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 homa… Miroslav Vicher's Puzzles Pages Miroslav Vicher's Puzzles Pages- Polyforms (polyominoes, and polyiamonds) graphics, tables and resources (English/Czech). Pairwise Touching Hypercubes 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 possi… Pentomino HungarIQa Pentomino HungarIQa- Kati presents a pentomino puzzle using poly-rhombs instead of poly-squares. [English/French/German/Hungarian] The Poly Pages The Poly Pages- About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes. Polypolygon Tilings Polypolygon Tilings- S. Dutch discusses polyominoes, poliamonds, and polypolygons with special attention to tiling characteristics. Mathforum : a Pentomino Problem Mathforum : a Pentomino Problem- Geometry Forum: Lists the pentominoes; fold them to form a cube; play a pentomino game. (project of the month, 1995) Polyomino Enumeration 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. Dancing Links Dancing Links- Don Knuth discusses implementation details of polyomino search algorithms (compressed PostScript format). Pentomino Applet Pentomino Applet- Rujith de Silva's applet puzzle offers games of four different sized rectangles. Source code available. [Java] Pentominos Pentominos- B. Berchtold's applet helps tile a 6x10 rectangle. [German] Mathforum : Tiling Rectangles from Ell Mathforum : Tiling Rectangles from Ell- Stan Wagon asks which rectangles can be tiled with an ell-tromino. The Three Dimensional Polyominoes of Minimal Area 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 differen… Animal Enumerations Animal Enumerations- Enumeration on regular tilings of the Euclidean and Hyperbolic planes. Mathforum : Minimal Domino Tiling Mathforum : Minimal Domino Tiling- Tiling a square without cutting it into two.(Problem of the week 826, Spring 1997) Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes 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 cont… Lego Pentominos Lego Pentominos- Eric Harshbarger. This puzzle maker says that the hard part was finding legos in enough different colors. Anna's Pentomino Page Anna's Pentomino Page- Anna Gardberg makes pentominoes out of sculpey and agate. Unbalanced Anisohedral Tiling 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 twic… Unbeatable Tetris 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] Polyiamond Exclusion 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 remain… Polyforms Polyforms- Ed Pegg Jr.'s site has pages on tiling, packing, and related problems involving polyominos, polyiamonds, polyspheres, and related shapes. Polyform and Dissection Puzzle Links Polyform and Dissection Puzzle Links- Christian Eggermont's link page. Golygons by Mathworld Golygons by Mathworld- What they are, and how to find them.