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Dominos sets containing an even number of dominos - double 2, 3, 6, 7 etc - can form dominos squares. Dominos sets containing odd numbers of dominos - double 4, 5, 8 etc - can form dominos rectangles whose long sides contain one more half-domino than their short sides. Either way, if the double is also even the dominos form can have all its joins match.

Dominos Double 4

 _______  _______  _______  _______
|   |   ||   |   ||   |   ||   |   |
|___|___||___|___||___|___||___|___|
 ___                            ___
|   |                          |   |
|___|                          |___|      _______  _______
|   |                          |   |     |   |   ||   |   |
|___|                          |___|     |___|___||___|___|
 ___      Joins match OR        ___       ___          ___
|   |     sides have equal     |   |     |   |        |   |
|___|     number of dots       |___|     |___| ______ |___|
|   |                          |   |     |   ||   |  ||   |
|___|                          |___|     |___||___|__||___|
 ___                            ___ 
|   |                          |   |      5 of these
|___|                          |___|      little squares:
|   |                          |   |      Joins match OR
|___|                          |___|      All 12 sides have
 ___                            ___       same number of dots
|   |                          |   |
|___| _______  _______  ______ |___|
|   ||   |   ||   |   ||   |  ||   |
|___||___|___||___|___||___|__||___|

Dominos sets from Double 6 up in which the largest double domino is an even number, can form suqares or near-square rectangles with matching joins and equal numbers of dots. This is not possible with the double 4 dominos set.

Dominos sides have equal number of dots

 _______  _______  _______  _______  _______
|   |   ||   |   ||   |   ||   |   ||   |   |
|___|___||___|___||___|___||___|___||___|___|
 ___                                     ___
|   |                                   |   |
|___|                                   |___|
|   |                                   |   |
|___|                                   |___|
 ___                                     ___
|   |                                   |   |
|___|                                   |___|
|   |                                   |   |
|___|                                   |___|
___                                     ___
|   |                                   |   |
|___| _______  _______  _______  ______ |___|
|   ||   |   ||   |   ||   |   ||   |  ||   |
|___||___|___||___|___||___|___||___|__||___|



 _______  _______  _______  _______  _______  ___
|   |   ||   |   ||   |   ||   |   ||   |   ||   |
|___|___||___|___||___|___||___|___||___|___||___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 _______  _______  _______  _______  _______ |   |
|   |   ||   |   ||   |   ||   |   ||   |   ||___|
|___|___||___|___||___|___||___|___||___|___|

Dominos Double 5

 _______  _______  _______  _______  _______  ___
|   |   ||   |   ||   |   ||   |   ||   |   ||   |
|___|___||___|___||___|___||___|___||___|___||___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 ___                                         |   |
|   |                                        |___|
|___|                                         ___
|   |                                        |   |
|___|                                        |___|
 _______  _______  _______  _______  _______ |   |
|   |   ||   |   ||   |   ||   |   ||   |   ||___|
|___|___||___|___||___|___||___|___||___|___|



 _______  _______  ___
|   |   ||   |   ||   |
|___|___||___|___||___|
 ___              |   |        3 dominos rectangles
|   |             |___|        All 12 sides have
|___|              ___         same number of dots
|   |             |   |
|___|             |___|
 _______  _______ |   |
|   |   ||   |   ||___|
|___|___||___|___|