This reminds me of a similar puzzle that I saw solved a while back - a 5x5x5
cube made from similar arrangements of smaller cubes, although not a
complete set. I sketched the solution and raytraced it with wackily
textured pieces:

http://www.infradead.org/~wmp/gallery4/puzzle.jpg
http://www.infradead.org/~wmp/gallery4/puzzle2.jpg

There's a couple of coincident surface problems in these images, but they're
not too serious!

Bill

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