Author's: STEFANO BARBERO, UMBERTO CERRUTI and NADIR MURRU
Pages: [31] - [46]
Received Date: April 11, 2012
Submitted by:
In this paper, we present the problem of counting magic squares and we
focus on the case of multiplicative magic squares of order 4. We give
the exact number of normal multiplicative magic squares of order 4
with an original and complete proof, pointing out the role of the
action of the symmetric group. Moreover, we provide a new
representation for magic squares of order 4. Such representation
allows the construction of magic squares in a very simple way, using
essentially only five particular matrices.
additive magic squares, multiplicative magic squares, normal magic squares, symmetric group.