e/Nasik magic hypercube

Information
has gloss	eng: A Nasik magic hypercube is a magic hypercube with the added restriction that all possible lines through each cell sum correctly to S = \fracm(m^n+1)}2} where S = the magic constant, m = the order and n = the dimension, of the hypercube.
lexicalization	eng: Nasik magic hypercube
instance of	(noun) a square matrix of n rows and columns; the first n^2 integers are arranged in the cells of the matrix in such a way that the sum of any row or column or diagonal is the same magic square