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The Mandelbrot set within a continuously colored environment. The Mandelbrot set (/ ˈ m æ n d əl b r oʊ t,-b r ɒ t /) [1] [2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified.
Kalles Fraktaler is a free Windows-based fractal zoom computer program used for zooming into fractals such as the Mandelbrot set and the Burning Ship fractal at very high speed, utilizing Perturbation and Series Approximation. [1]
Original - Mandelbrot zoom in. Reason Simply an epic animation and a fantastic representation of the multiple layers of complexity and chaos that make up the Mandelbrot set. The user Slaunger suggested that a scaled up version of an earlier animation, made by user Zom-B would probably be worthy of being a featured image.
English: Mandelbrot set. Initial image of a zoom sequence: Mandelbrot set with continuously colored environment. Coordinates of the center: Re(c) = -.7, Im(c) = 0; Horizontal diameter of the image: 3.076,9; Created by Wolfgang Beyer with the program Ultra Fractal 3. Uploaded by the creator.
To get colorful images of the set, the assignment of a color to each value of the number of executed iterations can be made using one of a variety of functions (linear, exponential, etc.). One practical way, without slowing down calculations, is to use the number of executed iterations as an entry to a palette initialized at startup.
"After the color image is established, the black silver-based image is dissolved away, leaving the color behind." #28 The Cathedral, Amsterdam, Holland Image credits: Detroit Photograph Company
Original - Mandelbrot zoom in. Reason Simply an epic animation and a fantastic representation of the multiple layers of complexity and chaos that make up the Mandelbrot set. The user Slaunger suggested that a scaled up version of an earlier animation, made by user Zom-B would probably be worthy of being a featured image.
In a large bowl using an electric mixer, cream the sugar and butter until the mixture is fluffy and lighter in color, about 5 minutes. Add the eggs, one at a time, beating to blend after each ...