Affine Magic Cubes of Order 4: Concepts and Applications

Int. J. Math. Math. Sci. Pub Date : 2022-10-26 DOI:10.1155/2022/2578562

Siriyakorn Duangmoon, Praphon Kanokladarom, Suchada Pongprasert, T. Rungratgasame, Natsima Srithaisong

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引用次数: 0

Abstract

We convert a classical magic cube of order 4, which is an arrangement of

\{1,2, \dots, 64\}

, to a cube of order 4 whose entries belong to

F_{2}^{6}

. By using finite-dimensional vector spaces over the field

F_{2}

, 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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4阶仿射魔方:概念与应用

我们转换一个4阶的经典魔方，它是1、2、…、64的排列，到一个4阶的立方体，它的元素属于f26。利用场f2上的有限维向量空间，引入仿射幻立方的概念，研究了仿射幻立方的性质。所得结果可用于描述各种类型的4阶幻立方的某些特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Int. J. Math. Math. Sci.

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