I should have phrased the question differently. I am new to RG and should have asked if this question had been asked previously and where could I find the discussion that ensued. I do thank you all for your answers and pointing me in the right direction.
Example with pendulums is very good, Zbigniew. Of course, all what we see can emerge from chaos. This means, that chaos contains visual reality, and does not mean, that visual reality (also polyhedra) does not exist.
There is purely technical problem in Math: to recieve true chaos. How can You distinguish it from periodicity with very large period?
P.S. In the case of primes this problem is not solved till now.