Magic Squares 2 – Creating a 4×4 Magic Square

Rather surprisingly I find 4×4 magic squares offer more opportunity in the classroom than 3×3.

To start with, though I can never remember the details for a 3×3 square, it’s easy to create a 4×4 square in just a few moments.

Start by writing the numbers 1 to 16 into a 4×4 square in the natural way.

4x4 Magic Square (0)

Then exchange the numbers in the two yellow positions, and do the same with the numbers in the other two corners.

4x4 Magic Square (1)

You now have this arrangement.

4x4 Magic Square (2)

Now exchange the two numbers in the two red positions, and do the same with the other two numbers in the central square.

4x4 Magic Square (3)

That’s it!  You now have a 4×4 magic square in which every row, every column, and the two diagonals add up to 34.

4x4 Magic Square (4)

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2 responses

  1. […] Magic Squares 2 – Creating a 4×4 Magic Square (established1962.wordpress.com) Before reading this post I could not make a 4 x 4 Magic Square without reading specific instructions each time. Now I can do in from memory. Great post! […]

  2. […] Magic Squares 2 – Creating a 4×4 Magic Square (established1962.wordpress.com) Before reading this post I could not make a 4 x 4 Magic Square without reading specific instructions each time. Now I can do in from memory. Great post! […]

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