Explanation of the 5x5 (pan)magic square

Read on webpage 'Explanation' the secrets of the 5x5 (pan)magic square.

Construction methods

The construction methods of the 5x5 magic square are:

• Diagonal method of Yang Hui
• Siamese method
• Knight movement method
• Symmetric transformation
• Lozenge method
• Shift method
• Ultra magic
• 3x3 in 5x5
• 3x3 in 5x5 & concentric
• concentric with diamond
• Each magic sum

With the first five methods you can construct simple, symmetric magic squares.

With the shift method you can construct a panmagic square.

Most magic 5x5 square is panmagic and symmetric (= ultra magic).

Learn also how to construct a 3x3 in 5x5 & concentric magic square [with diamond]

It is also possible to construct a (not pure) magic square with a randomly chosen magic sum.