Aviva Directory » Computers & Internet » Software » Multimedia » Graphics » Fractal Generation

The focus of this category is on software designed to generate images of fractals, both free and commercial.

A fractal is a geometric shape that forms a never-ending pattern, infinitely complex patterns that repeat a simple process over and over in an ongoing feedback loop. A small extract of the fractal shape will look the same as the entire shape, a property known as self-similarity.

To create a fractal, you begin with a simple pattern and repeat it at small scales, again and again, forever. Of course, in real life it's impossible to draw fractals with infinitely small patterns, but we can draw shapes that look like fractals.

In nature, fractals are found in trees, waterways, coastlines, mountains, clouds, seashells, lightning, and hurricanes.

While fractals can be modeled, the range of scales possible is considerably less than infinite, given the practical limits of time and space. However, models can simulate theoretical fractals or natural phenomena with fractal features. Images and other outputs of modeling are frequently referred to as being fractals although they lack strictly fractal characteristics and depth.

Computer programmers have used various mathematical programming languages to create fractals. However, there are several fractal-generating software applications available, open-source and proprietary. Using software, users can create mathematical beauty through visualization, which describes the aesthetics derived from the abstractness, purity, simplicity, depth, and orderliness of mathematics.

Fractal-generating software packages use a variety of methods for creating fractals. Most of them include an algorithm selection, zoom options, and the ability to save in a variety of formats, such as JPG, TIFF, or PNG, as well as parameter files, so that the user can easily return to previously created fractals for later modification.

Most packages allow the user to choose a maximum iteration so that the iteration can be increased when the image is magnified, so as not to lose any fine detail. Limiting the maximum iterations may be necessary when the computer's processing power is low.

There may also be coloring options, such as color randomization and color density, as well as post-processing layering. Both 2D and 3D rendering effects may also be included.

Fractal-generating features are available in some standard graphics packages, such as GIMP and Blender, while some standalone fractal-generating programs can be integrated with Photoshop to allow for the creation of more complex images.

Even with the software, generating fractals can be difficult to master. Due to the butterfly effect, a small change in one variable can have an unpredictable effect. Many of the software-generating packages have a steep learning curve. Most of the programs generate 2D fractal, while some can be used to create 3D fractal objects.

Any software application or package designed to generate fractals is appropriate for this category.

 

 

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