File:Mandel zoom 14 satellite julia island.png

Mandel_zoom_14_satellite_julia_island.png (640 × 480 pixels, file size: 560 KB, MIME type: image/png)

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
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Author SimsContPics
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3 November 2009

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Date/TimeThumbnailDimensionsUserComment
current10:03, 4 November 2009Thumbnail for version as of 10:03, 4 November 2009640 × 480 (560 KB)SimsContPics{{Information |Description={{en|1=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. He

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