# Magic Squares

This web site generates Magic Squares using the Γ+2 (gamma plus two) method for odd order magic squares (developed by Edward Brumgnach), the Brumgnach-Strachey method for singly even magic squares, and the Durer method for doubly even order magic squares. After the square has been successfully generated it is displayed in a separate window. Any error messages will be displayed in a popup window.

Javascript Code & Website Design:
Adjunct Assistant Professor Mike Metaxas (Left)

## Generating Magic Squares

#### To generate your very own Magic Square change the Square Size, the First Number, the Gamma Increment and the Plus2 Increment.

 Square Size: First Number: Gamma Increment: Plus2 Increment:

 Definitions and Formulas for predicting the Magic Sum: M=order(size);F=First number; GI=Gamma Increment; PI=Plus two Increment. Pure Sum (when F=1, GI=1, PI=1) = (1/2)(M)(M2 + 1): FT = First Number Total = M(F-1): CT = 1+2+...+M: GIT = Gamma Increment Total = (CT-M){M(GI-1)}: PIT = Plus2 Increment Total = = (CT-M)(PI-1): SET = Singly Even Total = (M*M/2)(PI-GI) for singly even, 0 otherwise: Calculated Magic Sum = PS + FT + GIT + PIT + SET: