The construction of magic squares with double-even order (n=4,8,12,…) is quite simple. The square can be divided into four quadrants, which also have an even order. So it is easy to fill them in a symmetrical order. There exist a lot of different algorithms and some of them should be presented.
There are so much methods to create magic squares of double-even order, so that they are divided into three sections. In this section you will find some old arab methods, dated to the period from 1000 to 1300.
|Method of marking diagonals||Shabramallisi (Method 1)|
|Al-Kharaqi||Shabramallisi (Method 2)|
|Marking Cells Method||Shabramallisi (Method 3)|
|Al-Asfizari||Shabramallisi (Method 4)|
|Moschopoulos||Shabramallisi (Method 5)|
|Unknown author (Method 1)||Shabramallisi (Method 6)|
|Unknown author (Method 2)|
All algorithms are described in detail in my PDF book. (chapter: Magic Squares of double-even order)