The emergence of pentagonal structures

The four most-simple pentagonal structures each opening possibilities for quantum fluctuations:
1. Five-tetrahedral gap (sharing a common centerpoint and one shared edge). Also see: Pentastar
2. Five-octahedral gap (share a single center point, each shares at least a face with one other).
3. Icosahedron: Twenty tetrahedrons share a common centerpoint.
4. Pentakis Dodecahedron: Twelve groups of pentastars (five tetrahedrons) enclosed a cavity.

The emergence of a simple pentagonal structure of octahedrons. The red line is a ridge line. It is on either side of this object, a centerpoint is shared by every object. It is a pivotal object within this domain.

Click on the image to see three other renderings of it. Click on either image to return here. On both sides of this object, there is a pentagonal depression. Here I speculate that this gap, much like the five-tetrahedral gap, is another basis for quantum fluctuations. Also, see the icosahedron and dodecahedron.

Also, another look at the pentastar, octahedron, tetrahedron, sphere, geometries and the geometry of geometry.