Alternative Definition
The above assumes that one of the older definitions for perfect magic cubes is used. See Magic Cube Classes. The Universal Classification System for Hypercubes (John R. Hendricks) requires that for any dimension hypercube, all possible lines sum correctly for the hypercube to be considered perfect magic. Because of the confusion with the term perfect, nasik is now the preferred term for any magic hypercube where all possible lines sum to S. Nasik was defined in this manner by C. Planck in 1905. A nasik magic tesseract has 40 lines of m numbers passing through each of the m4 cells.
The smallest possible nasik magic tesseract is of order 16; its magic constant is 524296. The first one was discovered by retired meteorologist John R. Hendricks from British Columbia in 1999 with the help of Cliff Pickover at the IBM Thomas J. Watson Research Center in Yorktown Heights, New York after about ten hours of computing time on an IBM IntelliStation computer system.
Read more about this topic: Magic Tesseract
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