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

MUCEET 2009 is organized by Malaysian Technical Universities Network (MTUN) comprising of Universiti Malaysia Perlis (UniMAP), Universiti Tun Hussein Onn (UTHM), Universiti Teknikal Melaka (UTeM) and Universiti Malaysia Pahang (UMP), 20th - 22nd June 2009 at M. S. Garden Hotel, Kuantan, Pahang.

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Bibliographic Details
Main Authors: Sapiee, Haji Jamel, Tutut Herawan, Mustafa, Mat deris
Format: Working Paper
Language:English
Published: Universiti Malaysia Pahang (UMP) 2010
Subjects:
Magic cube
Magic square
Latin square
Malaysian Technical Universities Conference on Engineering and Technology (MUCEET)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/8629
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spelling my.unimap-86292010-08-12T08:18:15Z Steps for constructing magic cube using two orthogonal Latin squares and a magic square Sapiee, Haji Jamel Tutut Herawan Mustafa, Mat deris Magic cube Magic square Latin square Malaysian Technical Universities Conference on Engineering and Technology (MUCEET) MUCEET 2009 is organized by Malaysian Technical Universities Network (MTUN) comprising of Universiti Malaysia Perlis (UniMAP), Universiti Tun Hussein Onn (UTHM), Universiti Teknikal Melaka (UTeM) and Universiti Malaysia Pahang (UMP), 20th - 22nd June 2009 at M. S. Garden Hotel, Kuantan, Pahang. 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. 2010-08-12T08:18:15Z 2010-08-12T08:18:15Z 2009-06-20 Working Paper http://hdl.handle.net/123456789/8629 en Proceedings of the Malaysian Technical Universities Conference on Engineering and Technology (MUCEET) 2009 Universiti Malaysia Pahang (UMP)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Magic cube
Magic square
Latin square
Malaysian Technical Universities Conference on Engineering and Technology (MUCEET)
spellingShingle Magic cube
Magic square
Latin square
Malaysian Technical Universities Conference on Engineering and Technology (MUCEET)
Sapiee, Haji Jamel
Tutut Herawan
Mustafa, Mat deris
Steps for constructing magic cube using two orthogonal Latin squares and a magic square
description MUCEET 2009 is organized by Malaysian Technical Universities Network (MTUN) comprising of Universiti Malaysia Perlis (UniMAP), Universiti Tun Hussein Onn (UTHM), Universiti Teknikal Melaka (UTeM) and Universiti Malaysia Pahang (UMP), 20th - 22nd June 2009 at M. S. Garden Hotel, Kuantan, Pahang.
format Working Paper
author Sapiee, Haji Jamel
Tutut Herawan
Mustafa, Mat deris
author_facet Sapiee, Haji Jamel
Tutut Herawan
Mustafa, Mat deris
author_sort Sapiee, Haji Jamel
title Steps for constructing magic cube using two orthogonal Latin squares and a magic square
title_short Steps for constructing magic cube using two orthogonal Latin squares and a magic square
title_full Steps for constructing magic cube using two orthogonal Latin squares and a magic square
title_fullStr Steps for constructing magic cube using two orthogonal Latin squares and a magic square
title_full_unstemmed Steps for constructing magic cube using two orthogonal Latin squares and a magic square
title_sort steps for constructing magic cube using two orthogonal latin squares and a magic square
publisher Universiti Malaysia Pahang (UMP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/8629
_version_ 1643789274052558848
score 13.214268

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