Instead of the rows, columns and diagonals adding up to the same magic
constant; the rows, columns and diagonals in an antimagic square all sum
up to different numbers. In addition, these sums that the rows, columns
and diagonals amount to, must also be a sequence of consecutive numbers
(30,31,...39; for an order 4 antimagic square). The antimagic square does
require
consecutive numbers
to be used. This is therefore also a special type of
heterosquare. This magic square was first defined by James Lindon in 1962 and cannot
appear in orders 1-3.
