Original file (2,560 × 1,920 pixels, file size: 1.25 MB, MIME type: image/jpeg)

G(c)2π=7

Summary

Description
English: Mandelbrot set. Initial image of a zoom sequence: Mandelbrot set with continuously colored environment.
  • Coordinates of the center: Re(c) = -.7, Im(c) = 0
  • Horizontal diameter of the image: 3.076,9
  • Created by Wolfgang Beyer with the program Ultra Fractal 3.
  • Uploaded by the creator.
Deutsch: Gesamtansicht der Mandelbrot-Menge. Startbild einer Zoom-Sequenz: Die Mandelbrot-Menge mit stufenlos eingefärbtem Außenbereich.
  • Zentrumskoordinaten: Re(c) = -0,7, Im(c) = 0
  • Horizontaler Bilddurchmesser: 3,076 9
  • Erstellt von Wolfgang Beyer mit dem Programm Ultra Fractal 3.
Source Own work
Author Created by Wolfgang Beyer with the program Ultra Fractal 3.
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Licensing

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 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.
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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.

To the next 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
English: The content of the parameter file for Ultra Fractal 3 (UPR file) corresponding with the initial image of the sequence is given below. For the parameter files of the other images the values at "center" have to be replaced by the values given above and for the magnification at "magn" 4 divided by the horizontal image diameter given above.
Deutsch: Im folgenden ist der Inhalt der zugehörigen Parameterdatei für Ultra Fractal 3 (UPR-Datei) angegeben. Für die anderen Bilder der Zoom-Sequenz müssen lediglich bei "center" die jeweils oben angegebenen Zentrumskoordinaten eingesetzt werden und bei der Vergrößerung "magn" vier geteilt durch den oben angegebene horizontale Bilddurchmesser. Kommata als Dezimaltrennzeichen sind dabei durch Punkte zu ersetzen.
mandelZoom00MandelbrotSet {
fractal:
  title="mandel zoom 00 mandelbrot set" width=2560 height=1920 layers=1
  credits="WolfgangBeyer;8/21/2005"
layer:
  method=multipass caption="Background" opacity=100
mapping:
  center=-0.7/0 magn=1.3
formula:
  maxiter=50000 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0
  p_power=2/0 p_bailout=10000
inside:
  transfer=none
outside:
  density=0.42 transfer=log filename="Standard.ucl" entry="Smooth"
  p_power=2/0 p_bailout=128.0
gradient:
  smooth=yes rotation=29 index=28 color=6555392 index=92 color=13331232
  index=196 color=16777197 index=285 color=43775 index=371 color=3146289
opacity:
  smooth=no index=0 opacity=255
}

Gradient [1]

derivative works

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References

  1. ↑ stackoverflow question: smooth-spectrum-for-mandelbrot-set-rendering

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Mandelbrot set

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object of statement has role: photographer
author name string: Wolfgang Beyer
Wikimedia username: Wolfgangbeyer
URL: http://commons.wikimedia.org/wiki/User:Wolfgangbeyer

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copyright license

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Creative Commons Attribution-ShareAlike 3.0 Unported

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source of file

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media type

image/jpeg

File history

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Date/TimeThumbnailDimensionsUserComment
current21:31, 13 October 2013Thumbnail for version as of 21:31, 13 October 20132,560 × 1,920 (1.25 MB)Localhost00Reverted to version as of 21:39, 4 December 2006 (This image should not be rotated; this is the standard orientation for the Mandelbrot Set)
07:48, 13 October 2013Thumbnail for version as of 07:48, 13 October 20131,920 × 2,560 (1.25 MB)RotatebotBot: Image rotated by 90°
21:39, 4 December 2006Thumbnail for version as of 21:39, 4 December 20062,560 × 1,920 (1.25 MB)Wolfgangbeyer
21:00, 12 September 2005Thumbnail for version as of 21:00, 12 September 20051,280 × 960 (381 KB)Wolfgangbeyer

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