Nasik Magic Hypercube

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A Nasik magic hypercube is a magic hypercube with the added restriction that all possible lines through each cell sum correctly to S = frac{m(m^n+1)}{2} where S = the magic constant, m = the order and n = the dimension, of the hypercube. Or, to put it more concisely, all pan-r-agonals sum correctly for r = 1...n. The above definition is the same as the Hendricks definition of perfect, but different than the Boyer/Trump definition. See Perfect magic cube Because of the confusion over the term perfect when used with reference to magic squares, magic cubes, and in general magic hypercubes, I am proposing the above as an unambiguous term. Following is an attempt to use the magic cube as a specific example.