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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.
The quaternion (4-dimensional) Mandelbrot set is simply a solid of revolution of the 2-dimensional Mandelbrot set (in the j-k plane), and is therefore uninteresting to look at. [46] Taking a 3-dimensional cross section at d = 0 ( q = a + b i + c j + d k ) {\displaystyle d=0\ (q=a+bi+cj+dk)} results in a solid of revolution of the 2-dimensional ...
A zoom-in to the lower left of the Burning Ship fractal, showing a "burning ship" and self-similarity to the complete fractal A zoom-in to line on the left of the fractal, showing nested repetition (a different colour scheme is used here)
According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." [ 1 ] Presented here is a list of fractals, ordered by increasing Hausdorff dimension, to illustrate what it means for a fractal to have a low or a high dimension.
Media in category "Mandelbrot set (featured picture set)" The following 15 files are in this category, out of 15 total. Mandel zoom 00 mandelbrot set.jpg 2,560 × 1,920; 1.25 MB
XaoS was originally just a "poorly written" Mandelbrot viewer, [1] until Jan Hubička added efficient zooming, using a technique sometimes called the XaoS algorithm or Hubička algorithm. At that time, fractal zoom movies were produced by completely recalculating each frame, even though they naturally had much of their area in common with each ...
Fractal-zoom-1-15-rupture.ogv (Ogg Theora video file, length 42 s, 384 × 288 pixels, 916 kbps, file size: 4.62 MB) This is a file from the Wikimedia Commons . Information from its description page there is shown below.