Construction of a repetitive magic square with Ramanujan's number as its product
In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844022033345 |
| _version_ | 1811173415543898112 |
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| author | Prasantha Bharathi Dhandapani Víctor Leiva Carlos Martin-Barreiro |
| author_facet | Prasantha Bharathi Dhandapani Víctor Leiva Carlos Martin-Barreiro |
| author_sort | Prasantha Bharathi Dhandapani |
| collection | DOAJ |
| description | In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic constant of the square is the number 40. The elements of these magic constants form an arithmetic progression. An algorithm to build magic squares is also proposed. |
| first_indexed | 2024-04-10T17:46:28Z |
| format | Article |
| id | doaj.art-730bb25eaea8487b9df6428f2899a962 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-10T17:46:28Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-730bb25eaea8487b9df6428f2899a9622023-02-03T04:58:18ZengElsevierHeliyon2405-84402023-01-0191e12046Construction of a repetitive magic square with Ramanujan's number as its productPrasantha Bharathi Dhandapani0Víctor Leiva1Carlos Martin-Barreiro2Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, Tamil Nadu, IndiaSchool of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile; Corresponding author.Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil, Ecuador; Faculty of Engineering, Universidad Espíritu Santo, Samborondón, EcuadorIn this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic constant of the square is the number 40. The elements of these magic constants form an arithmetic progression. An algorithm to build magic squares is also proposed.http://www.sciencedirect.com/science/article/pii/S2405844022033345Arithmetic progressionDiophantine equationLatin squareMagic elementsSequencesSquare matrix |
| spellingShingle | Prasantha Bharathi Dhandapani Víctor Leiva Carlos Martin-Barreiro Construction of a repetitive magic square with Ramanujan's number as its product Heliyon Arithmetic progression Diophantine equation Latin square Magic elements Sequences Square matrix |
| title | Construction of a repetitive magic square with Ramanujan's number as its product |
| title_full | Construction of a repetitive magic square with Ramanujan's number as its product |
| title_fullStr | Construction of a repetitive magic square with Ramanujan's number as its product |
| title_full_unstemmed | Construction of a repetitive magic square with Ramanujan's number as its product |
| title_short | Construction of a repetitive magic square with Ramanujan's number as its product |
| title_sort | construction of a repetitive magic square with ramanujan s number as its product |
| topic | Arithmetic progression Diophantine equation Latin square Magic elements Sequences Square matrix |
| url | http://www.sciencedirect.com/science/article/pii/S2405844022033345 |
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