### Sudoku method

How can I use a 4x4 Sudoku to construct a 4x4 (pan)magic square?

Most times a Sudoku consists of 9 rows and 9 columns. In each row and in each column (and in each 3x3 sub-square) you find all the numbers from 1 up to 9. Use a 4x4 Sudoku to construct a 4x4 (pan)magic square in only 4 steps:

(1st) Fill in the 4x4 Sudoku with the numbers 0, 1, 2, 3. Take care that all the numbers from 0 up to 3 are in each row, column and diagonal.

(2nd) Construct the second 4x4 Sudoku by rotating the first Sudoku by a quarter to the right.

(3rd) Take 4x number from the first Sudoku and add 1x number from the same cell of the second Sudoku.

(4th) Finally add 1 to each cell.

4x number           +   1x number           =   +1                            =   magic square

 0 1 2 3 2 1 3 0 2 5 11 12 3 6 12 13 3 2 1 0 3 0 2 1 15 8 6 1 16 9 7 2 1 0 3 2 0 3 1 2 4 3 13 10 5 4 14 11 2 3 0 1 1 2 0 3 9 14 0 7 10 15 1 8

This magic square happens to be panmagic!

Use this method [Sudoku method (1)] to construct magic squares of order is 2^n (= 2x2, 2x2x2, 2x2x2x2, ...) from 4x4 to infinity. See 4x48x816x1632x32

4x4, Sudoku method.xls