Steps for constructing magic cube using two orthogonal Latin squares and a magic square

Abstract

A magic cube of order n is an example of fine permutation for natural number 1,2,…,n3 where the sum of rows, columns and diagonals are the same. It is a natural generalization of a magic square. Magic cube is constructed using two Orthogonal Latin Squares and a Magic Square. Unfortunately, steps for creating magic square from two orthogonal Latin square was not explicitly mentioned. This paper introduces steps for creating odd and even magic square from two orthogonal Latin squares. Subsequently, magic cubes are created based on orthogonal Latin Squares. Examples show that the proposed steps work well on explaining the construction process of magic cubes.