Press the "Run Script" button.. looks like a green "Play" button.. alternatively, F9.
Nobody. Fractals are not owned by anyone!
But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.
Complex mathmatic equations.
Self-similarity.
Fractals are situations where the geometry seems best approximated by an infinitely "branching" sequence - used, for example, in modeling trees. For work on fractals that I have done as a theoretician, I recommend the included links. I just happen to have an original answer, and I want to make it known.
Apo Script, short for Apophysis Script, is a scripting language present within the fractal-generating program Apophysis. It is centered around the creation and modification of flame fractals much like the program as a whole but makes particular operations, such as batch rendering and spiraled fractals, easier.
Fractals can be generated with computer programs like Sterling or Apophysis. Both of these are freeware you can easily download. There are other programs, like Ultra Fractal and Tierazon, as well. With Sterling, you are given a default fractal that you can transform using various modes, and then zoom in and search for a good design. With Apophysis, you are given a set of randomly-generated "flames" that you can transform using various "plug-ins", some of which are included in the download, others can be downloaded free. Apophysis flames are can be edited by manipulating the triangles that define it. Each triangle can be manipulated using plug-ins such as "spiral." Several tutorials are on the Internet, at places like deviantart.com, which has groups liked I linked below. An example of fractals generated with Sterling and Apophysis can be found in a gallery I also linked below.
Apophysis is the apical sterile part of the microsporophyll in Cycas.
An apophysis is a natural outgrowth, swelling or enlargement, usually of an organism.
Apophysis is an open source fractal flame editor and renderer for Microsoft Windows and Macintosh. Apophysis has many features for creating and editing fractal flames.
Pi is a number. There are no fractals of pi.
Crystals are usually not fractals.
Nobody. Fractals are not owned by anyone!
The Beauty of Fractals was created in 1986.
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
There are infinitely many fractals so no list can exist.
By their very nature fractals are infinite in extent.