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ruletation
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this post was submitted on 30 Jun 2024
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Wait, the mandelbrot set is two-dimensional.
This projection of the 4-dimensional being into 3D space appears as the Mandelbrot set. Weirdly, it appears to be the Mandelbrot set no matter what angle you look at it from in 3D space.
Alternatively it can just be any 3D shape depending on how thick the 'slice' of 4D space intersected by our 3D world is and wether the 4D thing is undergoing translation or rotation.
There is a four dimensional set of which the Mandelbrot set and Julia sets are both slices.