Theorems on magic cubes and magic tesseracts

I proved in May 2004 that every order-8 (normal or non-normal) Nasik magic cube (namely, a pan-2,3-agonal magic cube) is complete. Therefore an order-8 normal Nasik magic cube cannot be associated. Furthermore, I proved that an order-(16x-8) (that is, order-8, 24, 40, ...) normal Nasik magic tesseract (namely, a pan-2,3,4-agonal magic tesseract) cannot exist. Here is the proofs of the theorems.

Note A (normal) Nasik magic tesseract exists for any order 16x. Here is a general method to construct them.

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This page was last updated on October 1, 2007.
"Magic Cubes and Tesseracts" http://homepage2.nifty.com/googol/magcube/en/
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