My assumption on this topic is most more related to the process than the geometry.
It's for sure related to the balance between chaos and order. But what are chaos and order, than the same thing explained in different manners? They may reign phenomena with different set of rules for humans but they both came all from the same nature's rules toolbox. In a way, they happen all in the same reality with the same set of rules.
What we usually call a chaotic system have much more about multiple instances of an ordered system than absolutely randomness itself. There are so many layers of information, that we call it chaotic because we can't even know how many events and resultants we must follow to capt all the phenomenon - or, in other words, here is a complex system. Most of things we think there are chaotic, are actually too complex and not just random.
About the sacred geometry, it is just one of the observable resultants of all interactions of a complex system that follow many many rules. Something we can't manage with precision right now, because nature deal with too much information and all at the same time while humans cannot (obvious because nature isn't and an entity but a system, while we are just one entity inside this big system - also kind of a Set Theory basic problem).
It may be too simplistic but the sacred geometry is related to some choice life made in the start, a choice about the process of how they were going to shape their forms. Not that nature really did make this choice somewhen but it was the better thermodynamic choice at that point.
Life is based in branch decisions in an infinite branched tree. Somehow the first cells to play together had made that path for their stability. More than a very well made choice and very well adapted over time, it was a choice that we are trapped now. The sacred may be also be the inevitable choice, a commitment "you" maid long time ago.
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