# Julia- and Fatou-sets vol1 - 2017

## Collection by Julius Bergmann

Computed images of Julia- and Fatou-sets using a converging method for various complex functions Infos on the method: http://www.fractalforums.com/new-theories-and-research/julia-sets-for-continous-functions/

Used formula is abs2((log(P1)-P2)/abs2(P3)) with 3 polynoms having it's highest power up to 7

Formula lost. Actually it's mainly the Fatou-set. I really like the small light circles in this one!

Created using a fractional polynom p/q. I really like the mixture of bright points and the dark image. It looks like cities in the night observed from outer space.

One of my most favourite Julia-sets (... mainly Fatou-set) from the simple function 1/(z^4+1) (if i remember it right)

One of the earliest Images I created using my convergent method. It would now be a clear spiral but my algorithm was not working perfectly at this moment so I got this nice bacteria-alike-looking Julia-set

A fractal of a fractional polynom p/q. I really love these lines that appear in the Fatou-sets, but I still didn't figure out on how they appear

The Julia-set for the function cos(z)

A pure Julia-set created using the abs2-function from the burning ship fractal where abs2(z) = abs(a) + abs(b)*i

A Fractal created using the abs2-function from the burning ship fractal where abs2(z) = abs(a) + abs(b)*i. Just the small black line in the middle is the Julia-set

A Fractal created using the abs2-function from the burning ship fractal where abs2(z) = abs(a) + abs(b)*i