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Let's Face It

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

In this problem, you will probably find it helps to do the solution practically. A good way to do this is to draw the net of a cube and to mark a $4$ by $4$ square on each face. Then fill in the numbers for the magic square on one face.

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

After that you need to work your way over the net, putting a variation of the magic square on each face, and making the numbers coming on the edges of the cube correspond. Then you can make your net into a cube. We'll leave that to you!

This solution to the problem was sent in by Joel of ACS Independent, Singapore.

Here you have the net of a cube with a magic square on each face.

13

2

3

16

11

8

5

10

6

9

12

7

4

15

14

1

13

11

6

4

4

15

14

1

1

7

10

16

8

2

15

9

9

6

7

12

12

14

3

5

12

14

3

5

5

10

11

8

8

2

15

9

1

7

10

16

16

3

2

13

13

11

6

4

16

3

2

13

10

5

8

11

7

12

9

6

1

14

15

4

1

14

15

4

12

7

6

9

8

11

10

5

13

2

3

16