The image above has a rotational symmetry factor of 08. There is a certain glory in the detail and patterning. This image would not have been seen if it was not for the experimentation. Here embedded in nature is all this detail and structure.
Once a factor of 13 is attained, quite clear curved structures emerge, and this remain constant, reminiscent perhaps of the Fegenbaum's universality, a recurrent number embedded in the mathematics of all things.
At a rotational symmetry factor of 21, the visual result is basically carpets. Carpets and gaskets bring to mind some of the exotic forms of Chaotic mathematical structures.