The shapes form in an area of turbulent flow between the two different rotating fluid bodies with dissimilar speeds.
A number of stable vortices of similar size form on the slower (south) side of the fluid boundary and these interact with each other to space themselves out evenly around the perimeter.
The presence of the vortices influences the boundary to move northward where each is present and this gives rise to the polygon effect.
These are obviously just my little art astronomy efforts here. Even the great Cassini could not take images like this…or could it?
Another one that replaced the rings with chocolate swirls.
If you want to go back to cassini reality.
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