Affine Magic Cubes of Order 4: Concepts and Applications

We convert a classical magic cube of order 4, which is an arrangement of 1,2,…,64, to a cube of order 4 whose entries belong to F26. By using finite-dimensional vector spaces over the field F2, we introduce the notion of affine magic cubes and study their properties. The obtained results can be appl...

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Main Authors: Siriyakorn Duangmoon, Praphon Kanokladarom, Suchada Pongprasert, Thitarie Rungratgasame, Natsima Srithaisong
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2022/2578562
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author Siriyakorn Duangmoon
Praphon Kanokladarom
Suchada Pongprasert
Thitarie Rungratgasame
Natsima Srithaisong
author_facet Siriyakorn Duangmoon
Praphon Kanokladarom
Suchada Pongprasert
Thitarie Rungratgasame
Natsima Srithaisong
author_sort Siriyakorn Duangmoon
collection DOAJ
description We convert a classical magic cube of order 4, which is an arrangement of 1,2,…,64, to a cube of order 4 whose entries belong to F26. By using finite-dimensional vector spaces over the field F2, we introduce the notion of affine magic cubes and study their properties. The obtained results can be applied to describe some features of various types of magic cubes of order 4.
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institution Kabale University
issn 1687-0425
language English
publishDate 2022-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-74dd650af35742478b89af0248f5fa102025-02-03T06:04:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/2578562Affine Magic Cubes of Order 4: Concepts and ApplicationsSiriyakorn Duangmoon0Praphon Kanokladarom1Suchada Pongprasert2Thitarie Rungratgasame3Natsima Srithaisong4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsWe convert a classical magic cube of order 4, which is an arrangement of 1,2,…,64, to a cube of order 4 whose entries belong to F26. By using finite-dimensional vector spaces over the field F2, we introduce the notion of affine magic cubes and study their properties. The obtained results can be applied to describe some features of various types of magic cubes of order 4.http://dx.doi.org/10.1155/2022/2578562
spellingShingle Siriyakorn Duangmoon
Praphon Kanokladarom
Suchada Pongprasert
Thitarie Rungratgasame
Natsima Srithaisong
Affine Magic Cubes of Order 4: Concepts and Applications
International Journal of Mathematics and Mathematical Sciences
title Affine Magic Cubes of Order 4: Concepts and Applications
title_full Affine Magic Cubes of Order 4: Concepts and Applications
title_fullStr Affine Magic Cubes of Order 4: Concepts and Applications
title_full_unstemmed Affine Magic Cubes of Order 4: Concepts and Applications
title_short Affine Magic Cubes of Order 4: Concepts and Applications
title_sort affine magic cubes of order 4 concepts and applications
url http://dx.doi.org/10.1155/2022/2578562
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AT suchadapongprasert affinemagiccubesoforder4conceptsandapplications
AT thitarierungratgasame affinemagiccubesoforder4conceptsandapplications
AT natsimasrithaisong affinemagiccubesoforder4conceptsandapplications