Heterosquare
A heterosquare is an 
Array of the integers from 1 to 
such that the rows, columns, and diagonals havedifferent sums. (By contrast, in a Magic Square, they have the same sum.) There are no heterosquares of ordertwo, but heterosquares of every Odd order exist. They can be constructed by placing consecutive Integersin 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 diagonalsform a Sequence of consecutive integers.
See also Antimagic Square, Magic Square, Talisman Square
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.
- Singular Point (Differential Equation)
- Singular Point (Function)
- Singular Series
- Singular System
- Singular Value
- Singular Value Decomposition
- Sinh
- Sink (Directed Graph)
- Sink (Map)
- Sinusoidal Projection
- Sinusoidal Spiral
- Sinusoidal Spiral Inverse Curve
- Sinusoidal Spiral Pedal Curve
- Sister Celine's Method
- Site Percolation
- Siteswap
- Six-Color Theorem
- Skein Relationship
- Skeleton
- Skeleton Division
- Skew Conic
- Skewes Number
- Skew Field
- Skew Lines
- Skewness