Editing Frénicle standard form (section)

A [[magic square]] is in the '''Frénicle standard form''', named for [[Bernard Frénicle de Bessy]], if the following two conditions hold:
# the element at position [1,1] (top left corner) is the smallest of the four corner elements; and
# 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.<ref>{{cite book |author=B. Frénicle de Bessy |display-authors=etal |title=Divers ouvrages de mathematique et de physique |year=1693}}</ref>