### Most perfect transformation

It takes 5 steps to transform a 4x4 square with consecutive numbers into the 3 basic panmagic 4x4 squares. Swap each time the numbers from 'yellow' and 'red' with each other.

3x panmagic 4x4

 1 5 9 13 1 5 13 9 1 5 13 9 1 8 13 12 1 8 13 12 1 8 13 12 2 6 10 14 2 6 14 10 2 6 14 10 2 6 14 10 14 10 2 6 15 10 3 6 3 7 11 15 3 7 15 11 4 8 16 12 4 5 16 9 4 5 16 12 4 5 16 9 4 8 12 16 4 8 16 12 3 7 15 11 3 7 15 11 15 11 3 7 14 11 2 7 1 3 9 11 1 3 11 9 1 3 11 9 1 8 11 14 1 8 11 14 1 8 11 14 2 4 10 12 2 4 12 10 2 4 12 10 2 4 12 10 12 10 2 4 15 10 5 4 5 7 13 15 5 7 15 13 6 8 16 14 6 3 16 9 6 3 16 9 6 3 16 9 6 8 14 16 6 8 16 14 5 7 15 13 5 7 15 13 15 13 5 7 12 13 2 7 1 2 9 10 1 2 10 9 1 2 10 9 1 8 10 15 1 8 10 15 1 8 10 15 3 4 11 12 3 4 12 11 3 4 12 11 3 4 12 11 12 11 3 4 14 11 5 4 5 6 13 14 5 6 14 13 7 8 16 15 7 2 16 9 7 2 16 9 7 2 16 9 7 8 15 16 7 8 16 15 5 6 14 13 5 6 14 13 14 13 5 6 12 13 3 6

Use this method to construct magic squares of order is multiple of 4 from 4x4 to infinity. See 4x48x812x1216x1620x2024x2428x2832x32

4x4, most perfect transformation.xls