latin cube

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

Description

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

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

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
LATSQ

• MATLAB release: MATLAB 7 (R14)