To better understand how nature doesn't always make smooth circles out of circular patterns, this Minute Physics video does a banger job using the Earth's moon as an example.

https://www.youtube.com/watch?v=KBcxuM-qXec

For Saturn, you're talking about storm patterns that aggregate near the poles, but the concept is somewhat similar, which is that forces acting on objects (storms) can arrange circles into wave-like shapes.

All that said, I believe that Saturn's hexagon is still not fully understood, and still may be signs of a deeper alien death-star hiding in the clouds and we should probably like... I dunno, stock up on canned beans and toilet paper.