how to build a magic matrix manually of even n*n matrix?
5 views (last 30 days)
Show older comments
i have written an alogorithm magic of odd order yet could not think of one for even order i i am starting to see a pattern for 4 by 4 yet going into 6 by 6 it does seem that i need to take other things into account hints would be appreciated
function res=magicodd(n)
if nargin<1
input("enter a matrix of size 3 or bigger ")
end
if n<3
error("enter a matrix of at least size 3")
end
if mod(n, 2) == 0
error('Order of the magic square must be odd.');
end
row = 1;
res=zeros(n);
col=ceil(n/2);
for num = 1:n^2
res(row,col)=num;
new_row = mod(row - 2, n) + 1;
new_col = mod(col, n) + 1;
% Move up and right
if res(new_row, new_col) == 0
row = new_row;
col = new_col;
else
% Move down
row = mod(row, n) + 1;
end
end
end
Accepted Answer
John D'Errico
on 25 Mar 2024
@the cyclist is correct, that this is purely an algorithm question. But you did write code.
Anyway, I'd start here, if I were you:
More Answers (2)
the cyclist
on 26 Mar 2024
Edited: the cyclist
on 26 Mar 2024
The method that MATLAB uses to build magic squares is evident if you enter
type magic
at the command line.
0 Comments
See Also
Categories
Find more on Logical in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!