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 digits 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 digits 0, 1, 2, 3. Take care that all the digits 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 digit from the first Sudoku and add 1x digit from the same cell of the second Sudoku.

 

(4th) Finally add 1 to each cell.

 

 

 4x digit                  +   1x digit                =   +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!

 

 

Download
4x4, Sudoku method.xls
Microsoft Excel werkblad 249.0 KB