UTHM Institutional Repository

Steps for constructing magic cube using two Orthogonal Latin Squares and a Magic Square

Jamel, Sapiee and Herawan, Tutut and Mat Deris, Mustafa (2009) Steps for constructing magic cube using two Orthogonal Latin Squares and a Magic Square. In: Malaysian Technical Universities Conference on Engineering and Technology (MUCEET 2009), 20-22 June 2009, Kuantan, Pahang.

[img]
Preview
PDF
48_full_sapiee.pdf

Download (163kB)

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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Magic Cube, Magic Square, Latin Square
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Computer Science and Information Technology > Department of Software Engineering
Depositing User: Suhaila Othman
Date Deposited: 26 May 2010 07:50
Last Modified: 21 Jan 2015 07:59
URI: http://eprints.uthm.edu.my/id/eprint/425
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year