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All Journal JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan
Mu'min, Ulil Albab
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Konstruksi Persegi Ajaib dengan Entri Bilangan Bulat Mu'min, Ulil Albab; Silalahi, Bib Paruhum
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 6 No 2 (2021): September 2021 - February 2022
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v6i2.2228

Abstract

Persegi ajaib adalah kotak-kotak persegi berisi bilangan berbeda yang disusun sedemikian rupa sehingga jumlah bilangan-bilangan pada baris, kolom, dan diagonal adalah sama. Penelitian ini membahas tentang pola dan algoritma untuk menyusun persegi ajaib berukuran m x m dari rangkaian m^2 bilangan bulat berurutan. Konstruksi algoritma dibagi menjadi tiga kasus, yaitu: algoritma persegi ajaib ordo ganjil (2j + 1) x (2j + 1), algoritma persegi ajaib ordo genap (4j) x (4j), dan algoritma persegi ajaib ordo genap (4j + 2) x (4j + 2) dengan j = 1, 2, ..., m.
SOME CONSTRUCTION OF 8N-DIMENSIONAL PERFECT MAGIC CUBE WITH ARITHMETIC SEQUENCE Mu'min, Ulil Albab; Silalahi, Bib Paruhum; Guritman, Sugi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0565-0578

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.
Co-Authors Bib Paruhum Silalahi Sugi Guritman