Omar A. Dawood; Abdul Monem S. Rahma; Abdul Mohssen J. Abdul Hossen

Generalized Method for Constructing Magic Cube by Folded Magic Squares

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Author(s)

Omar A. Dawood ^1,* Abdul Monem S. Rahma ¹ Abdul Mohssen J. Abdul Hossen ¹

1. Computer Science Department, University of Technology, Baghdad, Iraq

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2016.01.01

Received: 14 May 2015 / Revised: 22 Aug. 2015 / Accepted: 15 Oct. 2015 / Published: 8 Jan. 2016

Index Terms

Magic Square, Magic Cube, Magic Constant, Magic Sum, Folded Square

Abstract

In the present paper we have developed a new method for constructing magic cube by using the folded magic square technique. The proposed method considers a new step towards the magic cube construction that applied a good insight and provides an easy generalized technique. This method generalized the design of magic cube with N order regardless the type of magic square whether odd order, singly even order or doubly even order. The proposed method is fairly easy, since it have depended mainly on the magic square construction methods, and all what the designer need is just how to builds six magic square sequentially or with constant difference value between each pair of the numbers in the square matrix, whereby each one of this magic square will represents the surface or dimension for magic cube configuration. The next step for the designer will be how to arrange each square in the proper order to constitute the regular cube in order to maintain the properties of magic cube, where the sum of rows, columns and the diagonals from all directions are the same.

Cite This Paper

Omar A. Dawood, Abdul Monem S. Rahma, Abdul Mohsen J. Abdul Hossen, "Generalized Method for Constructing Magic Cube by Folded Magic Squares", International Journal of Intelligent Systems and Applications(IJISA), Vol.8, No.1, pp.1-8, 2016. DOI:10.5815/ijisa.2016.01.01

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International Journal of Intelligent Systems and Applications (IJISA)