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I have a matrix A
1 4 2 3 4 3 1 2 3 2 4 1 2 1 3 4
How to make different groups of two elements from this matrix? But the chosen elements (from the matrix A) have to be adjacent in the matrix A. for example A(1,1) & A(1,2) are adjacent and so they can be chosen. and A(1,1) & A(4,3) can't be chosen to make a group. I'd like to create a function which randomly choose these elements from A. And the function generates an other matrix containing the (2 by 2) different groupements randomly created. (for other examples see comment below)
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There are 24 four connected pairs. Three per row, three per column.
I would generate a random integer from 1-numel(A) I would generate a random direction from 1-4 (North East South West) If the starting point and direction bring you out of the matrix. Draw again.
If it is a valid pairing, subset out what you are looking for using any indexing method you prefer.