Frénicle standard form

A magic square is in the Frénicle standard form, named for Bernard Frénicle de Bessy, if the following two conditions hold:

  1. the element at position [1,1] (top left corner) is the smallest of the four corner elements; and
  2. the element at position [1,2] (top edge, second from left) is smaller than the element in [2,1].

In 1693, Frénicle described all the 880 essentially different order-4 magic squares.

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