how to build a magic matrix manually of even n*n matrix?

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

[dareen]

i think i found the pattern i will try to implement it should have tried on paper from the start

Answer 1

[John D'Errico]

@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:

https://faculty.etsu.edu/stephen/matrix-magic-squares.pdf

[dareen]

thanks gained a lot of insight

Answer 2

[the cyclist]

Yours is an algorithm question, not a MATLAB question.

You can find an algorithm for both singly-even and doubly-even magic squares here.

[dareen]

thank u

Answer 3

[the cyclist]

The method that MATLAB uses to build magic squares is evident if you enter

type magic

at the command line.