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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.
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 ...
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 ...
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.
A fractal flame created by the Electric Sheep computing project. Fractal flame created in Apophysis. Fractal flames are a member of the iterated function system class [1] of fractals created by Scott Draves in 1992. [2] Draves' open-source code was later ported into Adobe After Effects graphics software [3] and translated into the Apophysis ...
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.
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems . Chaotic maps and iterated functions often ...
Fractal analysis is assessing fractal characteristics of data.It consists of several methods to assign a fractal dimension and other fractal characteristics to a dataset which may be a theoretical dataset, or a pattern or signal extracted from phenomena including topography, natural geometric objects, ecology and aquatic sciences, sound, market fluctuations, heart rates, frequency domain in ...