За векторното пространство на магическите квадрати от трети ред (в занимателната математика)
About the Vector Space of Third Order Magic Squares (in Recreational Mathematics)
Author(s): Zdravko Lalchev, Irina Voutova, Miroslav StoimirovSubject(s): Social Sciences, Education, School education, Vocational Education, Adult Education, Higher Education , History of Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: magic squares; vector space; recreational mathematics
Summary/Abstract: The present paper is about magic squares and in particular about the vector space of third order magic squares. The aim is to answer some questions as: which sequence of nine numbers could be “formatted” into a magic square and how this could be done; whether the fact that the number sequence is a nine numbers arithmetic sequence is a necessary and sufficient condition for constructing a magic square; could any number be a magic square characteristic number; is there a “formula” for finding the proper numbers for constructing a magic square and so on. To answer these questions we use linear algebra elementary means for solving systems of linear equations.
Journal: Математика и информатика
- Issue Year: 63/2020
- Issue No: 2
- Page Range: 115-129
- Page Count: 15
- Language: Bulgarian
- Content File-PDF