Geometry of Nature Verses Human perceptions of natural symmetry.

The idea that probability is a basic dimension in reality and not something we just perceive artificially brings up questions about  what we think we know is probable.  In nature elements and molecules are prone to crystalize.  They assume distinctive predictable shapes as crystals grow where and when they do.  We have tables that show the expected shapes and  it may or may not be the case the crystals form in the same shapes in different environments say with less gravity on a smaller planet or much more in a much larger planet.  Some of that can be tested in the lab increasing pressure and temperature to mimic higher gravity. So we have a pretty good idea about what shapes are likely to be assumed by crystals of various combinations of elements and molecules.  What we cannot as easily predict is how crystals will grow independently and in formations of multiple crystals. The variables are so many that we have collections of rock mineral crystals  of many different diverse variations.  Man made crystals tend to have similar and completely different fofms that are not found in nature including various diamond cuts for raw diamonds.  crystals are not all symmetrical when we find them in nature but they do have some modulus of symmetry we can assume is a form of symmetry.  It is like looking at all the visible structures in the universe as seen by our various telescopes.  We see the same sorts of structures near and far.  Most famous are spiral galaxies we see as close as 1-2 million light years away and as far away as 10 billion light years away.  We accept what we see with our high power telescopes as being straight forward what we think we know as opposed to something other than what we think we know.  At the same time we are willing to accept ideas that time is not absolute and that time space may just be showing us an illusion.  It seems entirely possible that we see in any moment time warped structures that are actually stable except they are beyond