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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".
http://www.math.ucf.edu/~reid/Research/Notched/
Ucf.edu ~
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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.
http://www.geocities.com/jorgeluismireles/polyominoids/
Geocities.com ~
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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 possible with a shared face between every pair of polycubes. Answers provided.
http://www.stetson.edu/~efriedma/mathmagic/0903.html
Stetson.edu ~
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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.
http://www.math.ufl.edu/~squash/tilingstuff.html
Ufl.edu ~
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