A magic hypercube of dimension
and order
is an
array filled with
distinct positive
integers
such that the
entries in each of the
hyperrows and the
space diagonals sum to the same number, the magic sum. We present the
-construction
which follows an algorithm which places entries into a hypercube by moving along permutations
of the vector
.
Under certain restrictions, this construction creates odd-ordered magic hypercubes.
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