Magic-Like Squares

n

100

summands

20	4	48	28
44	32	16	8
20	40	12	28
16	24	24	36

A magic-like square of order four is an arrangement of

2

4

=16

integers in a 4×4 square such that the sum of the four numbers in each row, column, and diagonal is the same constant, the magic sum

n

.

A magic square of order four contains the integers from 1 to 16. Magic-like squares do not and some integers may be repeated. However, in these magic-like squares, all 2×2 corners, the four corners, and the 2×2 center sum to the magic sum.

The second slider helps you find the magic sum.