Language Reference

MAGIC (n) ;

This function is supported by the IML procedure and the iml action.

The MAGIC function is part of the IMLMLIB library. The MAGIC function returns an nn magic square for n. The matrix M is a magic square if it contains the integers 1, 2, …, n. If s is the trace of M, then M satisfies the following conditions:

There are many algorithms for creating magic squares. The algorithm implemented in the MAGIC function is based on Moler (2011).

The MAGIC function is mainly used to generate examples for documentation, discussion forums, books, and so forth. The following example displays two magic squares:

m3 = Magic(3);
m4 = Magic(4);
print m3, m4;