Kalles Fraktaler
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Kalles Fraktaler is a free
Windows Windows is a group of several proprietary graphical operating system families developed and marketed by Microsoft. Each family caters to a certain sector of the computing industry. For example, Windows NT for consumers, Windows Server for se ...
-based
fractal 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 ill ...
zoom computer program used for zooming into fractals such as the
Mandelbrot set The Mandelbrot set () is the set of complex numbers c for which the function f_c(z)=z^2+c does not diverge to infinity when iterated from z=0, i.e., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This ...
and the Burning Ship fractal at very high speed, utilizing Perturbation and Series Approximation.


Functionality

Kalles Fraktaler focuses on zooming into fractals. This is possible in the included fractal formulas such like the
Mandelbrot set The Mandelbrot set () is the set of complex numbers c for which the function f_c(z)=z^2+c does not diverge to infinity when iterated from z=0, i.e., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This ...
, Burning ship or so called "TheRedshiftRider" fractals. Many tweaks can visualize phenomena better or solve glitches concerning the calculation issues. Other functions are color seeds, slopes for showing
iteration Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. ...
depths or entering location parameters in the complex plane. The via zooming reached location can be saved as a KFR file. The rendered image can be saved or be a part of a zoom sequence, which can be later used for a fractal zoom video.


Fork

The program got forked to Kalle's Fraktaler 2+ with additional functions. The newest release is 2.15.1.6 from 2020/12/08 (December 12, 2020). The license is AGPLv3+. Some additional functions are: * Gaussian jitter * New calculation techniques * New fractal formulas * Hybrid formula creator


References


External links


Kalles Fraktaler homepage



Kalles Fraktaler discussion forum

Kalles Fraktaler 2 + GMP discussion forum
Fractal software Windows software {{Windows-software-stub