Magic Squares in Order 4k+2

Abstract

This paper is a study that is focused on magical squares in order 4k+2. A magical square is a square that is divided in n x n smaller squares and above one side of these smaller squares is written an arithmetic sequence. This sequence consists of numbers ranging from 1 to <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$n^{2}$</tex> in a way so that the sum of rows, columns and diagonals is the same. This study aims to give a better understanding of magic squares in order 4k+2 for future research, by implementing and presenting an algorithmic approach of identifying and generating magic squares in order 4k+2.

Topics & Concepts