M = magic(n) returns an
n-by-n matrix constructed from the
integers 1 through
n2 with equal row and column sums.
The order n must be a scalar greater than or equal to
3 in order to create a valid magic square.
Visually examine the patterns in magic square matrices with orders between 9 and 24 using imagesc. The patterns show that magic uses three different algorithms, depending on whether the value of mod(n,4) is 0, 2, or odd.
for n = 1:16
subplot(4,4,n)
ord = n+8;
m = magic(ord);
imagesc(m)
title(num2str(ord))
axis equal
axis offend
Matrix order, specified as a scalar integer greater than or equal to 3. If
n is complex, not an integer, or not scalar, then
magic converts it into a usable integer with
floor(real(double(n(1)))).
If you supply n less than 3, then
magic returns either a nonmagic square, or the
degenerate magic squares 1 and
[].
You clicked a link that corresponds to this MATLAB command:
Run the command by entering it in the MATLAB Command Window.
Web browsers do not support MATLAB commands.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: United States.
You can also select a web site from the following list
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.