Explanation

The 32x32 magic is not only an even multiple of 4, but 4x8 (or 8x4) and that gives many possibilities to construct a 32x32 magic square.

Construction methods

Methodes to construct the 32x32 magic square are:

• Medjig
• Composite, Matroesjka a
• Composite, Matroesjka b
• Composite, Prop. (1) a
• Composite, Prop. (1) b
• Composite, Prop. (1) c
• Symmetric transformation (Liki)
• Basic key method (ultra magic)
• Most perfect transformation
• Basic key method (most perfect)
• Khajuraho method
• Basic pattern method (1) a
• Basic pattern method (1) b
• Basic pattern method (1) c
• Basic pattern method (1) d
• Sudoku method (1)
• Sudoku method (2)
• Sudoku method (3)
• 30x30 in 32x32 (1)
• 30x30 in 32x32 (2)
• Concentric
• Bimagic

Symmetric transformation (Liki) and basic key method (ultra magic) leads to ultra magic 32x32 squares, which are panmagic, symmetric, 2x2 compact and each 1/4 row/column gives 1/4 of the magic sum.

Medjig, composite Matroesjka a and b, 30x30 in 32x32, concentric and bimagic are 'specials'.

With the remaining methods you kan construct most perfect (= Franklin pan)magic 32x32 squares.