The are a lot of algorithms to construct magic squares of odd order (n=3,5,7,…). These are the simpliest magic squares, but nevertheless most of these algorithms will construct one and only one single magic square.

You will find more methods to create magic squares of odd order in section pandiagonal squares.

All algorithms are described in detail in chapter Concentric Magic Squares (german: gerahmte magische Quadrate) together with some other PDF documents.