Search results
Results From The WOW.Com Content Network
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.
Fractal generating software creates mathematical beauty through visualization. Modern computers may take seconds or minutes to complete a single high resolution fractal image. Images are generated for both simulation (modeling) and random fractals for art. Fractal generation used for modeling is part of realism in computer graphics. [2]
Mandelbrot set with 12 encirclements. Zooming into the boundary of the Mandelbrot set. In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in ...
In geometry, a fractal canopy, a type of fractal tree, is one of the easiest-to-create types of fractals. Each canopy is created by splitting a line segment into two smaller segments at the end ( symmetric binary tree ), and then splitting the two smaller segments as well, and so on, infinitely. [1] [2] [3] Canopies are distinguished by the ...
List of fractals. Cantor set. de Rham curve. Gravity set, or Mitchell-Green gravity set. Julia set - derived from complex quadratic map. Koch snowflake - special case of de Rham curve. Lyapunov fractal. Mandelbrot set - derived from complex quadratic map. Menger sponge.
A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal. [1] In general, fractal curves are nowhere rectifiable curves — that is, they do not have finite length — and every subarc longer than a ...
Fractal landscape. Use of triangular fractals to create a mountainous terrain. A fractal landscape or fractal surface is generated using a stochastic algorithm designed to produce fractal behavior that mimics the appearance of natural terrain. In other words, the surface resulting from the procedure is not a deterministic, but rather a random ...
The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function: in the complex plane which will either escape or remain bounded. The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their ...