A multi magic square is when each number in a magic square, when raised to
the k-th power, results in another magic square. The multimagic property
can only be awarded, for example if k equals to 4, the magic square exists
when raised to the forth power and every previous power below it (1,2,3).
There are
bimagic,
trimagic,
tetramagic, … squares. The first of these to be created was the bimagic square.