Search results
Results from the WOW.Com Content Network
XaoS is an interactive fractal zoomer program.It allows the user to continuously zoom in or out of a fractal in real-time. XaoS is licensed under GPL.The program is cross-platform, and is available for a variety of operating systems, including Linux, Windows, Mac OS X, BeOS and others.
A couple fractals, like the Burning ship and Perpendicular Mandelbrot fractals, have very stretched areas that require stretching of one's own to view. However, the fork has moved the Skew feature to Transformations. Fractals can be stretched by minimizing the Kalles Fraktaler window, hitting CTRL + T, and using right-click to stretch the fractal.
Lesmoir-Gordon, Nigel; The Colours of Infinity: The Beauty, The Power and the Sense of Fractals. 2004. ISBN 1-904555-05-5 (The book comes with a related DVD of the Arthur C. Clarke documentary introduction to the fractal concept and the Mandelbrot set.) Liu, Huajie; Fractal Art, Changsha: Hunan Science and Technology Press, 1997, ISBN ...
The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(z) ∈ [z] or transcendental function. It is the Julia set of the meromorphic function z ↦ z − p ( z ) / p′ ( z ) which is given by Newton's method.
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]
A tricorn, created on a computer in Kalles Fraktaler. Tricorn zoom onto mini-tricorn Multicorns with the power going from 1 to 5. In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping ¯ + instead of + used for the Mandelbrot set.
A self-affine fractal with Hausdorff dimension=1.8272. In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation.
Like some other fractals, the function exhibits self-similarity: every zoom (red circle) is similar to the global plot. In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is also an example of a fractal curve.