Magic Squares |
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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. |
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For more information: Read the paper on magic squares. Watch an online presentation on magic squares. Javascript Code & Website Design: Adjunct Assistant Professor Mike Metaxas (Left) Adjunct Lecturer Steven Trowbridge (Right) |
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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. |
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Pure Sum (when F=1, GI=1, PI=1) = (1/2)(M)(M^{2} + 1): |
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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: | |||

The author would like to acknowledge the work of Mr. Stephen R. Schmitt. |
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