.. _sphx_glr_api_gallery_combinatorics_designs:

Combinatorial designs
---------------------

Latin squares and orthogonal pairs.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Builds a pair of orthogonal Latin squares of order 5 and superimposes them so that every (rank, regiment) pair appears exactly once, the arrangement Euler&#x27;s 36-officers problem asks for. It then checks by brute force that no such pair exists for order 2.">

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  .. image:: /api/gallery/combinatorics/designs/images/thumb/sphx_glr_plot_01_latin_squares_thumb.png
    :alt:

  :doc:`/api/gallery/combinatorics/designs/plot_01_latin_squares`

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      <div class="sphx-glr-thumbnail-title">Euler's officers: orthogonal Latin squares</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/combinatorics/designs/plot_01_latin_squares