Some results on magic squares based on generating magic vectors and R-C similar transformations

Autor: Ma Xiaoyang, Fang Kai-tai, Deng Yu hui
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Special Matrices, Vol 5, Iss 1, Pp 82-96 (2017)
Druh dokumentu: article
ISSN: 2300-7451
2017-0009
DOI: 10.1515/spma-2017-0009
Popis: In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating magic vector) class set method for classification of magic squares of order 5, presenting 42 categories in total.
Databáze: Directory of Open Access Journals