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File:Mandel zoom 03 seehorse.jpg

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Original file (2,560 × 1,920 pixels, file size: 3.04 MB, MIME type: image/jpeg)

Summary

Description
English: Partial view of the Mandelbrot set. Step 3 of a zoom sequence: "Seahorse" upside down. Its "body" is composed by 25 "spokes" consisting of 2 groups of 12 "spokes" each and one "spoke" connecting to the main cardioid. These 2 groups can be attributed by some kind of metamorphosis to the 2 "fingers" of the "upper hand" of the Mandelbrot set. Therefore the number of "spokes" increases from one "seahorse" to the next by 2. The "hub" is a so called Misiurewicz point. Between the "upper part of the body" and the "tail" a distorted satellite can be recognized.
  • Coordinates of the center: Re(c) = -.743,030, Im(c) = .126,433
  • Horizontal diameter of the image: .016,110
  • Magnification relative to the initial image: 190.99
  • Created by Wolfgang Beyer with the program Ultra Fractal 3.
  • Uploaded by the creator.
Deutsch: Teilansicht der Mandelbrot-Menge. Ausschnitt 3 einer Zoom-Sequenz: "Seepferdchen". Der "Körper" wird von 25 "Speichen" gebildet, von denen sich zwei Zwölfergruppen nach Art einer Metamorphose auf jeweils einen der beiden "Finger" an der "oberen Hand" des Apfelmännchens zurückführen lassen (siehe Startbild). Die Zahl der "Speichen" nimmt daher von einem "Seepferdchen" zum nächsten um zwei zu. Die "Nabe" wird von einem Misiurewicz-Punkt gebildet wird. Zwischen "Oberkörper" und "Schwanz" ist ein deformierter Satellit erkennbar.
  • Zentrumskoordinaten: Re(c) = -0,743 030, Im(c) = 0,126 433
  • Horizontaler Bilddurchmesser: 0,016 110
  • Vergrößerung relativ zum Startbild: 190,99
  • Erstellt von Wolfgang Beyer mit dem Programm Ultra Fractal 3.
Date
Source Own work
Author Created by Wolfgang Beyer with the program Ultra Fractal 3.

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This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
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:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

Sequence

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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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12 September 2005

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Date/TimeThumbnailDimensionsUserComment
current21:41, 4 December 2006Thumbnail for version as of 21:41, 4 December 20062,560 × 1,920 (3.04 MB)Wolfgangbeyer
21:34, 12 September 2005Thumbnail for version as of 21:34, 12 September 20051,280 × 960 (861 KB)Wolfgangbeyer

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