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- Frénicle_standard_form abstract "A magic square is in Frénicle standard form, named for Bernard Frénicle de Bessy, if the following two conditions apply: 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].Frénicle's published book of 1693 described all the 880 essentially different order-4 magic squares. This standard form was devised since a magic square remains "essentially similar" if it is rotated or transposed, or flipped so that the order of rows is reversed — there exists 8 different magic squares sharing one standard form. For example, the following magic squares are all essentially similar, with only the final square being in Frénicle standard form: 8 1 6 8 3 4 4 9 2 4 3 8 6 7 2 6 1 8 2 9 4 2 7 6 3 5 7 1 5 9 3 5 7 9 5 1 1 5 9 7 5 3 7 5 3 9 5 1 4 9 2 6 7 2 8 1 6 2 7 6 8 3 4 2 9 4 6 1 8 4 3 8".
- Frénicle_standard_form thumbnail 2009.10.23_quaternion_square_01.png?width=300.
- Frénicle_standard_form wikiPageID "706510".
- Frénicle_standard_form wikiPageLength "1962".
- Frénicle_standard_form wikiPageOutDegree "10".
- Frénicle_standard_form wikiPageRevisionID "543476139".
- Frénicle_standard_form wikiPageWikiLink Automorphism.
- Frénicle_standard_form wikiPageWikiLink Bernard_Frénicle_de_Bessy.
- Frénicle_standard_form wikiPageWikiLink Category:Magic_squares.
- Frénicle_standard_form wikiPageWikiLink Class_(set_theory).
- Frénicle_standard_form wikiPageWikiLink Galois_group.
- Frénicle_standard_form wikiPageWikiLink Galois_theory.
- Frénicle_standard_form wikiPageWikiLink Magic_square.
- Frénicle_standard_form wikiPageWikiLink Most-perfect_magic_square.
- Frénicle_standard_form wikiPageWikiLink Transpose.
- Frénicle_standard_form wikiPageWikiLink File:2009.10.23_quaternion_square_01.png.
- Frénicle_standard_form wikiPageWikiLinkText "Frénicle standard form".
- Frénicle_standard_form wikiPageWikiLinkText "essentially different".
- Frénicle_standard_form hasPhotoCollection Frénicle_standard_form.
- Frénicle_standard_form wikiPageUsesTemplate Template:OEIS2C.
- Frénicle_standard_form wikiPageUsesTemplate Template:Unreferenced.
- Frénicle_standard_form subject Category:Magic_squares.
- Frénicle_standard_form comment "A magic square is in Frénicle standard form, named for Bernard Frénicle de Bessy, if the following two conditions apply: 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].Frénicle's published book of 1693 described all the 880 essentially different order-4 magic squares.".
- Frénicle_standard_form label "Frénicle standard form".
- Frénicle_standard_form sameAs Forme_standard_de_Frénicle.
- Frénicle_standard_form sameAs Forma_standard_di_Frénicle.
- Frénicle_standard_form sameAs m.034dls.
- Frénicle_standard_form sameAs Q3077490.
- Frénicle_standard_form sameAs Q3077490.
- Frénicle_standard_form wasDerivedFrom Frénicle_standard_form?oldid=543476139.
- Frénicle_standard_form depiction 2009.10.23_quaternion_square_01.png.
- Frénicle_standard_form isPrimaryTopicOf Frénicle_standard_form.