How to convert 2d matrix to 4d matrix?

If I have a 4*4 matrix like this

a=[30,31;32,33];  % a can be more than 2d array
b=[40,41;42,43];  % b can be more than 2d array
c=[50,51;52,53];  % c can be more than 2d array
d=[60,61;62,63];  % d can be more than 2d array
X=[1,2,3,a;5,6,b,8;c,10,11,12;d,14,15,16];

how to convert it to, in this case, to 4*4*2*2 where X(1,4,1,1)=30, X(1,4,1,2)=31,X(1,4,2,1)=32,X(1,4,2,2)=33, X(2,3,1,1)=40,X(2,3,1,2)=41,X(2,3,2,1)=42,X(2,3,2,2)=43 and so on?

Answer 1

[Ameer Hamza]

Are you looking for something like this

a=[30,31;32,33];  % a can be more than 2d array
b=[40,41;42,43];  % b can be more than 2d array
c=[50,51;52,53];  % c can be more than 2d array
d=[60,61;62,63];  % d can be more than 2d array
X = cat(3, a, b, c, d);

Or maybe this

a=[30,31;32,33];  % a can be more than 2d array
b=[40,41;42,43];  % b can be more than 2d array
c=[50,51;52,53];  % c can be more than 2d array
d=[60,61;62,63];  % d can be more than 2d array
X(1,4,:,:) = a;
X(2,3,:,:) = b;
X(3,2,:,:) = c;
X(4,1,:,:) = d;

Result

>> size(X)
ans =
     4     4     2     2

[Abdel-Rahman Ashraf]

Yeah, thank you for your answer. I edited your suggestion, which is somewhat like

Sulaymon's suggestion , to add a,b,c and d to the original matrix like that

XX=[1,2,3,0;5,6,0,8;0,10,11,12;0,14,15,16];
X=repmat(XX,[1,1,2,2]);
X(1,4,:,:) = a;
X(2,3,:,:) = b;
X(3,2,:,:) = c;
X(4,1,:,:) = d;

But again if I don't know the dimensions of a,b,c,d (I mean they can be 3 or more dimensions matrices) how to make it more general?

[Ameer Hamza]

Try this. It will work for an arbitrary number of dimensions of 'a'

a=rand(2,2,2);  % a can be more than 2d array
b=rand(2,2,2);  % b can be more than 2d array
c=rand(2,2,2);  % c can be more than 2d array
d=rand(2,2,2);  % d can be more than 2d array

XX=[1,2,3,0;5,6,0,8;0,10,11,12;0,14,15,16];
X=repmat(XX,[1,1,size(a)]);
col_idx = repmat({':'}, 1, ndims(a));

X(1,4,col_idx{:}) = a;
X(2,3,col_idx{:}) = b;
X(3,2,col_idx{:}) = c;
X(4,1,col_idx{:}) = d;

[Abdel-Rahman Ashraf]

Many thanks.

[Ameer Hamza]

I am glad to be of help.

Answer 2

[Sulaymon Eshkabilov]

It is going to be something like that:

X(:,:,:,1)=a;
X(:,:,:,2)=b;
X(:,:,:,3)=c;
X(:,:,:,4)=d;

[Abdel-Rahman Ashraf]

Thank you for your answer. I edited your suggestion to add them to the original matrix like that

XX=[1,2,3,0;5,6,0,8;0,10,11,12;0,14,15,16];
X=repmat(XX,[1,1,2,2]);

X(1,4,:,:) = a;
X(2,3,:,:) = b;
X(3,2,:,:) = c;
X(4,1,:,:) = d;

But if I don't know the dimensions of a,b,c,d (I mean they can be 3 or more dimensions matrices) how to make it more general?