latin cube

This function will compute a randomized example latin cube of size N.

Given a positive integer specifying size (N), this code will compute an example latin cube, a 3 dimensional extension of the latin square in which each orthogonal slice through the cube is itself a latin square.Note that the cube created is not an example of a /balanced/ latin cube, rather a randomized one.

Example:

>> M = latin_cube(3)

M(:,:,1) =

3 1 2
2 3 1
1 2 3

M(:,:,2) =

1 2 3
3 1 2
2 3 1

M(:,:,3) =

2 3 1
1 2 3
3 1 2

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With thanks to Jos (10584) for his excellent latsq.m.