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Image:Mandel zoom 00 mandelbrot set.jpg

sune 2007. 4. 4. 16:19
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  • Partial view of the Mandelbrot set. Step 14 of a zoom sequence: On the first sight these islands seem to consist on infinitely many parts like Cantor sets, as it is actually the case for the corresponding Julia set Jc. Here they are connected by tiny structures so that the whole represents a simply connected set. These tiny structures meet each other at a satellite in the center which is to small to be recognized at this magnification. The value of c for the corresponding Jc is not that of the image center but has relative to the main body of the Mandelbrot set the same position as the center of this image relative to the satellite shown in zoom step 7.
  • Coordinates of the center: Re(c) = -.743,643,887,037,151, Im(c) = .131,825,904,205,330
  • Horizontal diameter of the image: .000,000,000,051,299
  • Magnification relative to the initial image: 59,979,000,000
  • Created by Wolfgang Beyer with the program Ultra Fractal 3.
  • Uploaded by the creator.

To the previous image / initial image of the zoom sequence.

All images of the zoom sequence:

Start

Step 1

Step 2

Step 3


Step 4

Step 5

Step 6

Step 7


Step 8

Step 9

Step 10

Step 11


Step 12

Step 13

Step 14


[edit] Licensing

I, the author of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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