About the Vector Space of Third Order Magic Squares (in Recreational Mathematics) Cover Image
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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 Stoimirov
Subject(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.

  • Issue Year: 63/2020
  • Issue No: 2
  • Page Range: 115-129
  • Page Count: 15
  • Language: Bulgarian