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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)
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. [43] 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 ...
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.
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.
Every pixel that contains a point of the Mandelbrot set is colored black. Every pixel that is colored black is close to the Mandelbrot set. Exterior distance estimate may be used to color whole complement of Mandelbrot set. The upper bound b for the distance estimate of a pixel c (a complex number) from the Mandelbrot set is given by [6] [7] [8]
Sierpiński Carpet - Infinite perimeter and zero area Mandelbrot set at islands The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)
Move over, Wordle and Connections—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity fans can find on ...
Fractal zoom animation on a Julia set. Because of the butterfly effect, generating fractals can be difficult to master. A small change in a single variable can have an unpredictable effect. Some software presents the user with a steep learning curve and an understanding of chaos theory is advantageous.