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A colorful adventure into the mandelbrot
Discover the world of complex numbers
Batik (Javanese pronunciation: [ˈbateʔ]; Indonesian: [ˈbatɪk]) is a technique of manual wax-resist dyeing applied to whole cloth, or cloth made using this technique. Batik is made either by drawing dots and lines of the resist with a spouted tool called a canting (IPA: [tʃantiŋ], also spelled tjanting), or by printing the resist with a copper stamp called a cap (IPA: [tʃap], also spelled tjap). The applied wax resists dyes and therefore allows the artisan to color selectively by soaking the cloth in one color, removing the wax with boiling water, and repeating if multiple colors are desired. This application let you design your own batif motif, thanks to Grenfoot and Julia Set (Fractal)..
In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets defined from a function. Informally, the Fatou set of the function consists of values with the property that all nearby values behave similarly under repeated iteration of the function, and the Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values. Thus the behavior of the function on the Fatou set is 'regular', while on the Julia set its behavior is 'chaotic'. The Julia set of a function f is commonly denoted J(f), and the Fatou set is denoted F(f). These sets are named after the French mathematicians Gaston Julia and Pierre Fatou whose work began the study of complex dynamics during the early 20th century.