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...

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Detalles Bibliográficos
Autores principales: Dhandapani, Prasantha Bharathi, Leiva, Víctor, Martin-Barreiro, Carlos
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9853301/
https://www.ncbi.nlm.nih.gov/pubmed/36685409
http://dx.doi.org/10.1016/j.heliyon.2022.e12046
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author Dhandapani, Prasantha Bharathi
Leiva, Víctor
Martin-Barreiro, Carlos
author_facet Dhandapani, Prasantha Bharathi
Leiva, Víctor
Martin-Barreiro, Carlos
author_sort Dhandapani, Prasantha Bharathi
collection PubMed
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.
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spelling pubmed-98533012023-01-21 Construction of a repetitive magic square with Ramanujan's number as its product Dhandapani, Prasantha Bharathi Leiva, Víctor Martin-Barreiro, Carlos Heliyon Research Article 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. Elsevier 2022-11-29 /pmc/articles/PMC9853301/ /pubmed/36685409 http://dx.doi.org/10.1016/j.heliyon.2022.e12046 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Dhandapani, Prasantha Bharathi
Leiva, Víctor
Martin-Barreiro, Carlos
Construction of a repetitive magic square with Ramanujan's number as its product
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 Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9853301/
https://www.ncbi.nlm.nih.gov/pubmed/36685409
http://dx.doi.org/10.1016/j.heliyon.2022.e12046
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