What is Fractal Art

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We will have a whole week of crazy something. Fractals are pretty and not dangerous at all, altough may cause severe addiction.

During the Fractal Art week, we will tell about different fractal generating softwares, teach some basic techniques, share some awesome renders, and, of course, chat about fractals, programming, minecraft and love life of certain fractal artists on our chat #Aposhack.

So...

What is Fractal Art?


The very first question here is: what are fractals?  TaraRoys made a perfect answer to this question (it is a little flash animation, click to watch):

What is a Fractal? by TaraRoys

The world fractal, from Latin fractus (broken, uneven), means : "A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry". It was first introduced in 1975 by Benoit Mandelbrot.

The main feature of fractals is that they are self similar, as you well can see on the animation above. Take any branch from the fractal tree and you will have a very similar fractal tree.

Fractal patterns can be found in nature: branches, clouds, waves. Romanesco Broccoli and Ammonite shells. These patterns are beautiful and, of course, artists want to recreate them in their art, and create art based on them.

So, Fractal Art, as the name says, is fractals made art. Its is not drawn or painted by hand (traditional or digital). It is created with fractal generating software (for example, Apophysis, Mandelbulb 3d, Ultra Fractal, and many others), in roughly two step: defining the parameters for a set of selected functions, and rendering it into actual artwork. Although some fractals also may incorporate non fractal images, certain photomanipulation techniques (particulary plugins similar to fractalius or kaleidoscope) are not really fractal (rather just emulating a fractal like appearence).

It may consist just of some shiny bokeh:
City Lights by zy0rg

Or feature some nature-like shapes, for example lovely blooms:
Velvet Dew by lindelokse

Some futuristic buildings:
A parking space for my shadow-self by Vidom

Also, one may use math to create dreamy landscapes:
flow of the skys by davebold370

Or even something a bit more geometrical and "fractal-like":
Polynomial by Jimpan1973





© 2014 - 2026 tatasz
Comments23
anonymous's avatar
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Ewillbkilledbitsch's avatar
Unfortunately, there are some misleading statements in this journal.

1. Fractals has no mathematical definitions yet. Mandelbrot himself, as he continued his researches on fractals on, was unsatisfuied with previous definitions and throw them away. Nowadays thre are no consensus amongst mathematicians how fractals should be defined.
2. Self-similarity is only a frequent trait of fractals, but that is not true (and was never  true) fractals are the self-similar geometrical objects. Most important fractals - those which occur in the theory of dinamical systems as phase space attractors - are not self-similar in the strict sense. The new generation fractals, the "flame" class are also doesn't show much self-similarity, even in a loose meaning they don't.  And there are simple shapes which are trivially self-similar - a line or a line segment for example  - but they are not said to be fractals. So not all fractals are self-similar, and not all self-similar shapes are fractals.
3. "Its is not drawn or painted by hand (traditional or digital)." - this is not true again. Fractals can be drawn or painted by hand, and there are artists who made fractal art with traditional technisc . It is just quicker to do it with software. But there are "high" artists who do or did it by traditional technics: János Saxon-Szász, or Jackson Pollock.
4. Fractal doesn't mean "irregular in geometric meaning". It means that the Hausdorf dimensions of fractals are fractions.