Abstract
Owing to the depth research on the remarkable properties of magic squares, a new recursive method for constructing high order magic squares will be firstly presented, based on the matrix operations, we refer to as the Kronecker compositional operations. Furthermore, popularizing this method,, we successfully demonstrate that large size magic squares of odd order with symmetrical and pandiagonal features can be generated by lower order initiators,which leads to the impressive application in engineering computation. Finally, we enumerate two small symmetrical and pandiagonal magic squares.
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