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  2. MojoWorld Generator - Wikipedia

    en.wikipedia.org/wiki/MojoWorld_Generator

    MojoWorld Generator. MojoWorld was a commercial, fractal -based modelling program for the creation of digital landscapes, and attracted a following among artists who create space art and science fiction scenes. Originally created by Ken Musgrave, it was marketed commercially by his Pandromeda Inc. company.

  3. Apophysis (software) - Wikipedia

    en.wikipedia.org/wiki/Apophysis_(software)

    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, including an editor that allows one to directly edit the transforms by manipulating triangles, a mutations window, which applies random edits to the triangles, an adjust window, which allows the adjustment of coloring and ...

  4. Chaotica (software) - Wikipedia

    en.wikipedia.org/wiki/Chaotica_(software)

    Fractal / Graphics. License. Proprietary commercial software. Website. www .chaoticafractals .com. Chaotica is a commercial fractal art editor and renderer extending flam3 and Apophysis 's functionality. There is also a free version with limited render resolution and animation length. [citation needed]

  5. Fractal-generating software - Wikipedia

    en.wikipedia.org/wiki/Fractal-generating_software

    Fractal-generating software is any type of graphics software that generates images of fractals. There are many fractal generating programs available, both free and commercial. Mobile apps are available to play or tinker with fractals. Some programmers create fractal software for themselves because of the novelty and because of the challenge in ...

  6. Iterated function system - Wikipedia

    en.wikipedia.org/wiki/Iterated_function_system

    Iterated function system. Colored IFS designed using Apophysis software and rendered by the Electric Sheep. In mathematics, iterated function systems ( IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. [1] They were introduced in 1981.

  7. Hopf fibration - Wikipedia

    en.wikipedia.org/wiki/Hopf_fibration

    Since the set of complex numbers λ with |λ| 2 = 1 form the unit circle in the complex plane, it follows that for each point m in S 2, the inverse image p −1 (m) is a circle, i.e., p −1 m ≅ S 1. Thus the 3-sphere is realized as a disjoint union of these circular fibers. A direct parametrization of the 3-sphere employing the Hopf map is ...

  8. List of fractals by Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/List_of_fractals_by...

    According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension ." [1] Presented here is a list of fractals, ordered by increasing Hausdorff dimension, to illustrate what it means for a fractal to have a low or a high dimension.

  9. Procedural generation - Wikipedia

    en.wikipedia.org/wiki/Procedural_generation

    Outerra Anteworld is a video game in development that uses procedural generation and real world data to create a virtual replica of planet Earth in true scale. No Man's Sky, by using procedural generation, is the largest video game in history, featuring a universe of 18 quintillion planets across entire galaxies, which can be explored in flight ...