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generalcentralsymm.
pandiagonal   mirrorsymm.

Magic Squares of Order 4 and Patterns   JavaScript rquired
Click: "quick", then: "next solution".
Instructions for use see: Magic Squares of Order 4.
For every solution an individual pattern is generated.   Explanation of patterns

 © H.B. Meyer
             theorems on 4 x 4 magic squares             general 4 x 4 magic squares theory             5 x 5 magic squares             6 x 6 magic squares