what forms of natural geometry have been discovered on other planets?

Question

such as such as perfect spirals,snow flakes, crystal structures, automorphic fractals, Mandelbrot sets, logarithmetic spirals etc etc etc

Answer 1

None of the above except for crystal that are common to earth and they were recognized by chemical properties and not by geometries. The fractals and Madelbrot sets etc are just mathematical entities and not real geometries found in physical objects. They approximate some shapes on earth but don't match exactly.