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A ''Nasik magic hypercube'' is a magic hypercube with the added restriction that all possible lines through each cell sum correctly to 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 from the Boyer/Trump definition. See Perfect magic cube ==Definitions== A ''Nasik magic cube'' is a magic cube with the added restriction that all 13''m''2 possible lines sum correctly to the magic constant. This class of magic cube is commonly called perfect (John Hendricks definition.). See Magic cube classes. However, the term ''perfect'' is ambiguous because it is also used for other types of magic cubes. Perfect magic cube demonstrates just one example of this. The term ''nasik'' would apply to all dimensions of magic hypercubes in which the number of correctly summing paths (lines) through any cell of the hypercube is ''P'' = (3''n''- 1)/2 A pandiagonal magic square then would be a ''nasik'' square because 4 magic line pass through each of the ''m''2cells. This was A.H. Frost’s original definition of nasik. A ''nasik'' magic cube would have 13 magic lines passing through each of its ''m''3 cells. (This cube also contains 9''m'' pandiagonal magic squares of order ''m''.) A ''nasik'' magic tesseract would have 40 lines passing through each of its ''m''4 cells. And so on. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Nasik magic hypercube」の詳細全文を読む スポンサード リンク
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