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.
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.
Rectifiable polyomino
Karl Dahlke explains and demonstrates tiling. Includes C-program source.
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.
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).
The Poly Pages
About various polyforms - polyominoes, polyiamonds, polycubes, and polyhexes.
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).
Tiling a square with eight congruent polyominoes
Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A".
Tiling rectangles and half strips with congruent polyominoes
Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A".
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 "Disc…
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]
What is a Golygon?
Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column.
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