A heterosquare is an Array of the integers from 1 to such that the rows, columns, and diagonals have
different sums. (By contrast, in a Magic Square, they have the *same* sum.) There are no heterosquares of order
two, but heterosquares of every Odd order exist. They can be constructed by placing consecutive Integers
in a Spiral pattern (Fults 1974, Madachy 1979).

An Antimagic Square is a special case of a heterosquare for which the sums of rows, columns, and main diagonals form a Sequence of consecutive integers.

**References**

Duncan, D. ``Problem 86.'' *Math. Mag.* **24**, 166, 1951.

Fults, J. L. *Magic Squares.* Chicago, IL: Open Court, 1974.

Madachy, J. S. *Madachy's Mathematical Recreations.* New York: Dover, pp. 101-103, 1979.

Weisstein, E. W. ``Magic Squares.'' Mathematica notebook MagicSquares.m.

© 1996-9

1999-05-25