Sirwin
Sirwin

50 Shades of Mandelbrot

By stevea68 | SteveA | 4 Jan 2021


The Mandelbrot Set itself is a(t least usually a) simple yes/no classification to a point on the 2 dimensional complex plane as to whether it is inside or outside the set.

... but there are many possible values/points in that set, and upon closer inspection of the intermediate computations involved, there's an entire "ecosystem" involved.  Imagine instead that the binary black/white Mandelbrot set is instead the 2-D "volume" of a planet with an interconnected living structure both internal and external to it.

I almost couldn't resist posting this because I felt like he's practically doing a tease - I DID find Darth in the Mandelbrot Set (or at least a(n accidental) variant of the "Buddhabrot" fractal)

The Dark Side of the Mandelbrot Set

Along with that there popped up fish, ant heads with mandables, ghost from Ghostbusters, Nazi helmets, rainbow wombs and ... well it seems to depend a lot upon how the information is projected.

Someone invented and interesting 3 dimensional extension of this (though I assume other 3D extrapolations are possible).  My Avatar icon is an example but to go beyond that, here's a stereoscopic flythrough (cross your eyes to see it as a 3 dimensional image - might take some practice - don't get stuck with your eyes crossed! LOL) of a Mandelbulb environment with "realtime" changes in parameters so that the terrain morphs as well.

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stevea68
stevea68

I'm a semi-retired engineer looking for some ways of earning a little on the side and using cryptocurrencies seems like a good way of doing it :)


SteveA
SteveA

I'm limited to 510 characters for a description, so I'll waste a few making that comment. What else? There's a ton - are Big Bang and Cyclic Universe theories logical illusions? What forms of mathematics create beauty? Coffee, tea or a chocolate bar? ... or maybe what would an ideal partnership with someone be like? I'm both a "couch surfer" and explorer ... where might you like to go? I'm wishing us all the best.

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