Mandelbrot Safari LXXXIV: Beyond Space

[Pauldelbrot]

Mandelbrot Safari LXXXIV: Beyond Space



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15076

Looks like we just made the jump to light-speed. Or maybe something Bowman saw inside the Monolith.

Mandelbrot; Elephant Valley area; magnification around 10³²⁰ and minimum iterations around 400,000.

[tit_toinou]

Gorgeous ! ( You must be tired of peope saying that )

[Pauldelbrot]

Thanks! And not really. Any more than I'm tired of finding things that are gorgeous buried in the depths of the M-set.

[cKleinhuis]

dude, paul, admiring your consistency, this picture is ... so lala, i mean in means of impression, nevertheless it has a strong opticall illusion effect!, like every circle seems to move somehow when wandering around!

[tit_toinou]

I agree.
You definitely have the best coloring algorithm I've seen, yet (from the little I understood) you're not using all the properties of the M-set .

[Pauldelbrot]

How so?

[tit_toinou]

float i = real(#numiter + il*lp - il*log(log(cabs(#z)))) + @displacement

This is the continuous variable of iterations. So you're not using things like for instance derivatives or the distance to the set.

[Pauldelbrot]

Not for this coloring, no. But derivatives are used for the dwellgrad coloring ...