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ruletation (lemmy.blahaj.zone)

submitted 2 months ago* (last edited 2 months ago) by [email protected] to c/[email protected]

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[–] [email protected] 56 points 2 months ago (3 children)

Wait, the mandelbrot set is two-dimensional.

[–] [email protected] 6 points 2 months ago

yeah but it looks fancy

[–] [email protected] 25 points 2 months ago

There is a four dimensional set of which the Mandelbrot set and Julia sets are both slices.

[–] [email protected] 64 points 2 months ago (1 children)

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.

[–] [email protected] 9 points 2 months ago

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.