File:Mandel zoom 03 seehorse.jpg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

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

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
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.

Wikipedia

 This is a featured picture on the English language Wikipedia (Featured pictures) and is considered one of the finest images. See its nomination here.

If you think this file should be featured on Wikimedia Commons as well, feel free to nominate it.
If you have an image of similar quality that can be published under a suitable copyright license, be sure to upload it, tag it, and nominate it.

Licensing

[edit]
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.
w:en:Creative Commons
attribution share alike 		This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
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

[edit]
Position in the previous image

To the previous / next 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
Step 15
Step 16

File history

Click on a date/time to view the file as it appeared at that time.

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

You cannot overwrite this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Mandel_zoom_03_seehorse.jpg&oldid=463302682"