Julia- and Fatou-sets vol1 - 2017

Collection by Julius Bergmann

20 
Pins

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/

Julius Bergmann
Used formula is with 3 polynoms having it's highest power up to 7 Fractals, Dandelion, Image, Dandelions

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

 Actually it's mainly the Fatou-set. I really like the small light circles in this one! Circle Light, Circles, Lost, Image

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 Image

Created using a fractional polynom p/q

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. Dark Images, Outer Space, The Darkest, Cities, Bright, Outdoor, Outdoors, Dark Pictures, Universe

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.

I really love the color adjustments used here. It's taken from a fractional polynom p/q Take That, Celestial, Color, Image, Colour, Colors

I really love the color adjustments used here. It's taken from a fractional polynom p/q

One of my most favourite Julia-sets (. mainly Fatou-set) from the simple function (if i remember it right) Most Favorite, Simple

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 I Got This, Spiral, Dandelion, In This Moment, Nice, Create, Flowers, Plants, Image

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 Fractals, Neon Signs, Image

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

A wonderfull spiral created using a fractional polynom p/q Spiral, Celestial, Outdoor, Image, Outdoors, Outdoor Games

A wonderfull spiral created using a fractional polynom p/q

The Julia-set of a sine-function. Image

The Julia-set of a sine-function.

A pure Julia-set created using the from the burning ship fractal where = abs(a) + abs(b)*i Fractals, Abs, Ship, Pure Products, Create, Artwork, Image, Crunches, Work Of Art

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 from the burning ship fractal where = abs(a) + abs(b)*i. Just the small black line in the middle is the Julia-set Fractals, Abs, Middle, Neon Signs, Ship, Image, Black, Crunches, Black People

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 from the burning ship fractal where = abs(a) + abs(b)*i Fractals, Ship, Abstract, Create, Artwork, Image, Summary, Work Of Art, Auguste Rodin Artwork

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

Beautiful zoom in a Julia-set that fills the whole complex plain. I wanted to zoom in further but missclicked and lost the settings. Lost, Image, Beautiful

Beautiful zoom in a Julia-set that fills the whole complex plain. I wanted to zoom in further but missclicked and lost the settings.