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latin cube

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latin cube

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14 Jul 2010 (Updated )

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

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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

Latsq inspired this file.

MATLAB release MATLAB 7 (R14)
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Updates
15 Jul 2010

Added H1 line and expanded help and description.

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