"The" Mandelbrot set is the set obtained from the quadratic recurrence equation
z_(n+1)=z_n^2+C
(1)
with z_0=C, where points C in the complex plane for which the orbit of z_n does not tend to infinity are in the set. Setting z_0 equal to any point in the set that is not a periodic point gives the same result. The Mandelbrot set was originally called a mu molecule by Mandelbrot. J. Hubbard and A. Douady proved that the Mandelbrot set is connected.
http://mathworld.wolfram.com/MandelbrotSet.html
Aahhh, the beloved Mandelbrot ;) ... Hi guys... Sorry to hi-jack your thread here (I've bookmarked it for later reading, as I am a crypto trader too).
Thing is, I have Ginabot notifying me whenever anyone says "mandelbrot set", lol... This usually takes me to people who would be interested in the kind of art I do. I use fractal software to create art. Do check it out if your curiosity is piqued =)
@mandelsage
cool! I posted here:
https://steemit.com/artificial-intelligence/@freedomshift/fractals-mandelbrot-set
Thanks for commenting!
Nice art!
What kind of fractal software do you use?
Cool. We studied the Mandelbrot Set and Douady at Uni, brings back memories:)
I remember we played around with setting random parameters to get even more organic depictions.