Each of the Primal Shapes belongs to a higher group of complexity.
The major shapes aquired this way are listed below
4 Cubes
There are 8 possible ways to connect 4 Cubes.
The one displayed here being the most eleagant one
4 Stars
There are 9 ways of connecting 4 Stars. The most harmonious being displayed here. It has a has a hollow inside.
4 Hives
There exist 17 ways of combining 4 Hives. It can fall into 2 different harmoneous shapes. The one displayed here and the same as can be seen above (created by 4 Stars).
4 UFOs
The UFO can combine in 34 Different ways. As it is the case with the hive, it can fall into 2 different harmoneous shapes. Putting the outsides together one creates a big dome
(which is half of a Rhombic Dodecahedron)
The Pyramid
The second possible combination of 4 UFOs is done by putting the insides together. This is the most stable of the Basic Structures with most magnets pulling it together.
4 Rings
This one is a little bit challenging to put together. Only when one combines all 4 shapes will the resulting structure become stable.