SOME CONSTRUCTION OF 8N-DIMENSIONAL PERFECT MAGIC CUBE WITH ARITHMETIC SEQUENCE

  • Ulil Albab Mu'min Departement of Mathematics, Faculty of Mathematics and Natural Science, IPB University, Indonesia
  • Bib Paruhum Silalahi Departement of Mathematics, Faculty of Mathematics and Natural Science, IPB University, Indonesia
  • Sugi Guritman Departement of Mathematics, Faculty of Mathematics and Natural Science, IPB University, Indonesia
Keywords: Arithmetic sequence, Magic cube, Magic square, Perfect magic cube

Abstract

A magic square whose dimensions are expanded is called a magic cube. A magic cube whose properties are expanded is called a perfect magic cube. The perfect magic cube problem is how to arrange  numbers in an  cube (matrix) such that the sum of rows, columns, pillars, diagonals (planes and spaces) produces a magic constant of the cube. In this paper, it will be studied how to construct a perfect magic cube of order  for  whose entries contain an arithmetic sequence with the difference  which is set to find specific patterns, and the algorithm for constructing a perfect magic cube is then implemented into programming language to solve large orders.

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Published
2024-03-01
How to Cite
[1]
U. Mu’min, B. Silalahi, and S. Guritman, “SOME CONSTRUCTION OF 8N-DIMENSIONAL PERFECT MAGIC CUBE WITH ARITHMETIC SEQUENCE”, BAREKENG: J. Math. & App., vol. 18, no. 1, pp. 0565-0578, Mar. 2024.