Fractal of the Day
by Jim Muth

Main Stem Mandelbrot ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- April 21, 2005   (Rating 6)

Fractal visionaries and enthusiasts:

Today's image shows a midget, or an atom as they are sometimes called, way out near the tip of the main stem of the Mandelbrot set, in an area where the magnitude is greater than 2x10^41.   Though the magnitude is well into the range of arbitrary precision math, the area being calculated is a fast one, and the render time is cut in half by taking advantage of the X-axis near-symmetry.   As a result, the image calculates in a surprising 8-1/2 minutes on the P200, and less than one minute on the P4-2300.   (Actually, the image is not totally symmetrical in respect to the X-axis, though the difference is subtle.)

To rev up the image a bit, it was rendered with outside=summ.

The image impresses me as being a little above average for such an over-explored area.   The rating of a 6 seems appropriate.

As has been the case for 8 years, the completed GIF image is available for download on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The temperature rose to 88F 31C here at Fractal Central on Wednesday.   The cats found a shady spot in the holly thicket, and stretched out for the afternoon.   Today is starting cloudy and cooler, but still pleasantly mild.   The duo should find this acceptable.   For me the real work is rather heavy, which means I'll be busy into the late afternoon.   This will still leave enough time to find a hopefully great fractal however.   That fractal, great or otherwise, will appear in 24 hours as the next FOTD.   Until then, take care, and look for your self.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

MainStemMandelbrot { ; time=0:08:38.82--SF5 on a P200
  reset=2004 type=mandel passes=1
  center-mag=-1.999999999999999999999216261240241681\
  263722836/0.0/2.404376e+041 params=0/0 float=y
  maxiter=1000 bailout=4 inside=0 outside=summ
  symmetry=xaxis periodicity=10
  colors=000Md_KdUIcNFbGDa9kf8Tc5JD6HK5FQ4DW3rHUXSGC\
  BUBFQBJMBNIBREBVABZ67u98r88p79m69k6Ah5Af4Bc3ejs_hj\
  VgaZ8hw1vu9lsHcqOVoWMnbDiaBdaA_a9Ba9Va8Qa6La5Ga41a\
  m3ae5aY6aQ8aIAaA72F9K9WDLTHIQKGONELQCIT9GW7DZ5hBpc\
  Fi_IcWMYSPSNSLJWFFZ9o04i53dA3_F3VJ3QO3LT3GY3sU8CJp\
  BMhBPaBSVBUOBXHB_AkLGcPDXSAPW8IZ5C2tBEbBQLDbLvA_ZO\
  JM5mJCcHJVFPLDWCrEXc2WPKHE4bD9XDESCJNCOIBTDBY8c9ZY\
  FSSLMMRFGX94eW7cM9bCOFVMJRKMNIPJGTFEWBCZ7x3jq8dkC_\
  eHU_LPTPJNUEHY8QNPOPMMRJKTGIVEGXBEZ8C`5LP_JxOZlDLF\
  LGRC02n28g4D`5IU7NN8SGAX9TlWQjSOiOMgLKfHHeDFcADb6d\
  dD`cBXcATb9Qb8Mb6Ia5Ea4gJKbMHZOFVRDRTBNV9JY7F_55Ke\
  7PW8TMAUCzt2zkwqimhgd`fVSdMJbATkzKfVbZDZ_BV_AR`8N`\
  7Ja5Fa4rfhcdVPbH89L9EI9JFAOCAT9BY6uNznQzgSz`UzVWzO\
  YzH_zfiu_gjUe_NdPHbEiqhSiOvTmZYQB_IB`GB`EB`CB`ABa8\
  Ba6Ba4NjKPioAYCBZABZ9B_8B_7B`6B`5Ba41jGeuvaroYphUm\
  aQkVMhOIfHEcAwoFUgtRfmPef }

END PARAMETER FILE=========================================


Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
or to the renowned Fractal Census

Go to Paul's Fractal pages or Home Page.

Go back to top, or to the main FotD index page.


This URL has been accessed approximately Access counter times.
Emot



Website brought to you by the AT&T Personal Web Pages from the AT&T WorldNet Service.

Copyright © 1994--2010 Nahee Enterprises.   All rights reserved.   Reproduction in whole or in part in any form or medium without express written permission of Nahee Enterprises is prohibited.   Nahee Enterprises and the Nahee Enterprises logo are trademarks.

Notepad     Valid HTML 4.0!