Fractal of the Day
by Jim Muth

Richly Decorated ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- February 03, 2009   (Rating 7)

Fractal visionaries and enthusiasts:

The parent fractal of today's image is the most unusual parent of all time.   Its main problem is that it is so small it's invisible at the default opening magnitude.   But despite initial appearances, a tiny mandeloid lies at the center of the opening screen, and today's image proves it.

When magnified a few hundred times, this mandeloid reveals itself to be splitting apart on its west side.   Its Seahorse Valley has broadened into a double wedge, and deep in this wedge today's scene is found.

The magnitude of 1.6*(1012) is deceiving.   When the parent fractal was shrunk, the decimal point of the coordinates shifted several places to the left, giving an illusory increase in precision.

The rating of a 7 seems fair enough, though if I had had more time to work on the colors, I might have raised the rating to an 8.   I'm not quite sure what the name "Richly Decorated" refers to.   Most likely it's the areas of chaos.

The calculation time of 14 minutes is admittedly slow, but nothing that a SOTA unit cannot handle with ease.   (Unless the machine is over-qualified, that is!)

Those with over-qualified units may see the image by hurrying to the FOTD web site at:and enjoying the finished image there.

Early morning clouds, steadily falling temperatures, midday rain and late afternoon snow made a mess of Monday here at Fractal Central.   The fractal cats agreed, and didn't even try to find a comfortable spot in their favorite window.

My day was so busy with other things that I had little chance to be unhappy about the weather.   The next FOTD will be posted in 24 hours.   Until then, take care, and be ready for whatever.


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

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

Richly_Decorated    { ; time=0:14:04.01-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideBrot5 float=y mathtolerance=0.05/1
  center-mag=-0.00069807601274538/+0.0003486354349263\
  6/1.609e+012/1/-26/0 maxiter=18000 periodicity=10
  params=2.0001/-0.9999 inside=0
  colors=000o9vmBtlCrjEpiFogGmfIkdJicLgcMfcOdcPbcQ`c\
  SZcTYcVWcWUcXScZQc_PcaNcbLcdJceHcfGchEciCckAcl8cm6\
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  xMYwMXvMWuLWtLVsLUsLUrKTqKSpKRoURoUQpUPqUPrUOsUNtU\
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  WVKXUFYTEZSFZRH_QI`PJ`OLaNMbMNcLOcKQdJReISeHUfGVgF\
  WhEXhDZiC_jB`jAbk9cl8dl8e }

frm:DivideBrot5   { ; Jim Muth
  z=(0,0), c=pixel, a=real(p1)-2,
  b=imag(p1)+0.00000000000000000001:
  z=sqr(z)/(z^(-a)+b)+c
  |z| < 1000000 }

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

Want to view, create, or know more about fractals?

Go to my Fractal Links webpage,
to the renowned Fractal Census,
or to the revised Spanky Fractal Database.

Plus, to my hostings of:
O's Fractal Art Gallery.

Go to my Fractal Pages on this site, or
to my latest web site for Fractals.

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