File:Mandel zoom 14 satellite julia island.jpg

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Summary

Description
English: * 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 too 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
Source Created by Wolfgang Beyer with the program Ultra Fractal 3.
Author Wolfgang Beyer
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I, the copyright holder 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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attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
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  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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Sequence

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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
Step 15
Step 16

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Date/TimeThumbnailDimensionsUserComment
current21:56, 4 December 2006Thumbnail for version as of 21:56, 4 December 20062,560 × 1,920 (4.93 MB)wikimediacommons>Wolfgangbeyer

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