Department of Applied Mathematics & Physics, Kyoto Univiversity

Technical Report #99021 (November, 1999)

On the Construction of Pandiagonal Magic Cubes
by Fucheng LIAO,Tohru KATAYAMA, Kiyotsugu TAKABA

A magic cube is called a pandiagonal if all of its cross sections and diagonal planes are pandiagonal magic squares. For any integer $n$, a method of constructing pandiagonal magic cubes of order $n$ is studied in this paper. It can be shown that at least $6(n!)^{3}$ pandiagonal magic cubes of order $n$ are formed through a pandiagonal Latin cube.