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Julia Set projected onto a Riemann Sphere. The iteration of a given point determines how raised or lowered it is. In this case, the first iteration occupies the outer-most layer, with the highest iteration (300) occupying the lowest layer.

Here's an older, horizontally-backwards rotation gif I made of this fractal:

I haven't seen anyone else make these before, but the idea is simple enough to where I'm 100% positive someone someone else has. If you're out there, let me know because these are one of my favorite things to make and I'd love to see someone else's work in this area. There's a lot of cool topography and shapes that emerge when you view them this way (if you can cross your eyes you can see these in 3D):

In these examples there's nothing occupying the space below each successful iteration, but that doesn't have to be the case. The next gallery image I post will show how sometimes terrain can extend below the outermost layer if you change the rendering method a bit.

(Side note: I'm going to make a more formal post asking for help at a later time, but you'll notice that the rotated items vanish at the right and left edges as they rotate. That's because the ray-tracing is broken and I could never quite figure out how to fix it.)
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Posted by: AlexH October 07, 2018, 01:34:20 AM

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Fractal Friar
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October 07, 2018, 10:35:00 PM
Very interesting images.

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