[graderjs]

So the degenerate part is taking a fixed sample of points no matter how big the spiral gets. The effect is like you're sampling at larger and larger scales, so you get to sample the structure of the spiral at larger and larger scales, and the diversity of patterns you see, is the visual representation of the spiral at these larger and larger scales through the lens of the sample you are taking. That's my explanation anyway.

[Cthulhu_]

Reminds me a bit about a recent blogpost about KSP: https://www.kerbalspaceprogram.com/dev-diaries/6509/. Basically they draw circles as a fixed amount of points as well, but if you zoom enough the circle becomes straight lines. With some work, they're drawing more points on the visible part of the circle as you zoom in.

[jagged-chisel]

In 3D rendering, this is what subdivision surfaces are about. As the camera moves closer, produce more triangles to keep the model appearing smooth. Cool stuff.

[agumonkey]

It's interesting, it's a bit like moire effect due to limited sampling resolution too.. I found the realization pretty profound (as a newb math guy)

[tomcam]

Ah, relief. Thank you.