arrangment matrix in special way

Dear All

I have question about arrangement matrix. I have three small matrices used to arrange big matrix in special way like this example

If I have two small matrices and third one is transpose of second one.

A = (green )

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

B = (blue)

17 18 19 20

21 22 23 24

25 26 27 28

29 30 31 32

C= transpose(B) (gray )

17 21 25 29

18 22 26 30

19 23 27 31

20 24 28 32

I want to arrange matrix (D) in size (20*20) like the picture inserted. please if you can help me to arrange the matrix for different size of input matrices (small matrices) and output matrix (big matrix) will be perfect for me.

Answer 1

[David Hill]

Z=zeros(4);
d=[A;B;Z;Z;C];
D=d;
for k=2:5
  d=circshift(d,4,1);
  D=[D,d];
end

[mohammed hussein]

thank you very much for you answer , it works perfectly

Answer 2

[Voss]

D = zeros(20,20);
for offset = (0:4)*4
    idx = offset+(1:4);
    D(idx,idx) = A;
    D(mod(idx+4-1,20)+1,idx) = B;
    D(mod(idx-4-1,20)+1,idx) = C;
end

The mod operations are to "wrap" B and C back around to where they go in D when they would otherwise go off the top or bottom of D.

[mohammed hussein]

thank you very much for you answer , it works perfectly