File:Mandel zoom 00 mandelbrot set.jpg

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G(c)2π=7

Summary

DescriptionMandel zoom 00 mandelbrot set.jpg	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.
Other versions	PNG


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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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	This licensing tag was added to this file as part of the GFDL licensing update.CC BY-SA 3.0truetrue

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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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Deus ea matematica.png
GodAndMath.png

References

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

File history

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	Date/Time	Dimensions	User	Comment
current	21:31, 13 October 2013	2,560 × 1,920 (1.25 MB)	Localhost00	Reverted 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 2013	1,920 × 2,560 (1.25 MB)	Rotatebot	Bot: Image rotated by 90°
	21:39, 4 December 2006	2,560 × 1,920 (1.25 MB)	Wolfgangbeyer
	21:00, 12 September 2005	1,280 × 960 (381 KB)	Wolfgangbeyer

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File:Mandel zoom 00 mandelbrot set.jpg

Summary

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Benoit Mandelbrot

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