Computation of Semi-Magic Squares Generated by Serpentine Matrices

http://www.slideshare.net/lossian/sharing-14351041

L’hauã Barbosa Pereira de Miranda, Coordenação de ADS, IFPI, Praça da Liberdade, 1597, Teresina, PI, Brasil, l4u4n.00@gmail.com. 
Liuhan Oliveira de Miranda, Coordenação Pedagógica, Instituto Antoine Lavoisier de Ensino, Rua Firmino Pires, 787 Sul, Teresina, PI, Brasil, liuhan− 100@hotmail.com.
Lohans de Oliveira Miranda, Coordenação¸Pedagógica, Instituto Antoine Lavoisier de Ensino, Rua Firmino Pires, 787 Sul, Teresina, PI, Brasil, snahol@hotmail.com. 
Lossian Barbosa Bacelar Miranda, Coordenação de Matemática, IFPI, Praça da Liberdade, 1597, 64000-040, Teresina, PI, Brasil, lossian@oi.com.br.

Abstract. Using serpentine matrices and reflections on their columns of even order we present a computer program that generates a large class of semi-magic squares and magic squares.

Keywords: semi-magic squares, snake-shaped matrices, arithmetic progressions, java language.