latin_center, an Octave code which makes Latin Center Squares for sampling.

A Latin square is a selection of one point from each row and column of a square matrix or table. In M dimensions, the corresponding item is a set of N points, where, in each dimension, there is exactly one point whose coordinates are in a given "column" or range of values. To emphasize the use of higher dimensions, these objects are sometimes called Latin hypersquares.

Once a particular Latin square has been chosen, if we select the center point of each subsquare, we have a Latin Center Square dataset.


The computer code and data files described and made available on this web page are distributed under the MIT license


latin_center is available in a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:


latin_edge, an Octave code which computes elements of a latin hypercube dataset, choosing points on the edge.


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    A Guide to Simulation,
    Springer Verlag, pages 201-202, 1983.
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    CRC, 1996.
  3. Bennett Fox,
    Algorithm 647:
    Implementation and Relative Efficiency of Quasirandom Sequence Generators,
    ACM Transactions on Mathematical Software,
    Volume 12, Number 4, pages 362-376, 1986.
  4. M D McKay, W J Conover, R J Beckman,
    A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code,
    Volume 21, pages 239-245, 1979.
  5. Albert Nijenhuis, Herbert Wilf,
    Combinatorial Algorithms,
    Academic Press, 1978, second edition,
    ISBN 0-12-519260-6.
  6. Herbert Ryser,
    Combinatorial Mathematics,
    Mathematical Association of America, 1963.

Source Code:

Last revised on 17 October 2022.