Some results on magic squares based on generating magic vectors and R-C similar transformations
Autor: | Ma Xiaoyang, Fang Kai-tai, Deng Yu hui |
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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 |
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