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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's fractal we return to the well-used MandelbrotBC2 formula and examine the Z^(1.618)+C Mandeloid as it appears 74 levels down the logarithmic ladder. At this level it resembles a Mandelbrot set with its main bud facing southeast and its East Valley flattened out and filled with chaos. Today's image is located in some of the farther-out debris in the area of what passes for East Valley. The name of the image has nothing to do with a blessed railroad station. When I shut off my mind in search of a name, the phrase "Sanctified Station" popped into my head. So this is what I named it. When struggling for a rating I was undecided between 6 and 7. I resolved the conflict by giving the image a rating of a 6-1/2. If the central midget were a bit more prominent, the rating would have been a 7. The calculation time of 2-1/3 minutes is true on the ancient workhorse P200 computer. The more S.O.T.A. P4-2000 unit would finish calculation in about 30 seconds. But calculation time will be no problem for those who visit the FOTD web site at: Wednesday proved to be unusually warm here at Fractal Central. The hot sun and temperature of 88F 31C kept the fractal cats away from the sunnier windows. My day was busier than average, but not excessively so. The next FOTD will appear in 24 hours. Until then, take care, but stop taking care long enough to enjoy the Fractal of the Day. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Sanctified_Station { ; time=0:02:23.08--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1 float=y inside=0
center-mag=-0.8449604577846213/+1.512609951022948/\
1.830674e+007/1/22.5/3.0546204665693466e-006
params=1.618/0/-74/0 maxiter=12000 periodicity=10
colors=000IGNHELGDKECIDBGCAFA9D98B86A6585464352231\
111wf0qa0kY0eU0_P0UL0OH0IC0C8064xL_tJYqIWnHUkGSgFQ\
dEOaDMZCKWBIS9HP8FM7DJ6BG59C47935623311iz``ljWfdSa\
_OWVKRQGLKCGF8AA455nhzkevhcse`obZl_WhYUeVRaSPZPMVM\
KSJHOHFLECHBAE87A557223_`bUUWOOQIIJCCD666l_9Oz4KGX\
IFVHETGDRFCPEBNDAMC9KB8IA8G87EzXJzVKzUKzTLzRMzQMzS\
NzUNzWOzYPz_PzaQzcQzeOzg1pENmDLiCKfBIcAH_9FX8EU8DQ\
7BN6AK58G47D35A246123012mm1hh1cc1ZZ1UU1PP0KK0FF0AA\
05538i26_14R13I019R3KM2GI2DD1A916403Wq9Un8Tl8Sj7Qh\
7Pe7Oc6Ma6L_6KX5IV5HT4GR4EO4DM3CK3AI39F28D26B15914\
61240120lxbgrZclVZgSVaOQXLMRHHMEDGA8B7453rVumSohPj\
cMeZJ_UGVPEQKBLF8FA5A5258hn6Xa4MP2BChLEeKDcJCaIC_H\
BYGAWFAUE9RD8PC8NB7LA6J96H85F74C64A53842632421210r\
mmniikffgccd```YYYVVUSSRPPOLLKIIHFFDCCA99666333TBL\
RAJP9IO9HM8GK7FJ7EH6CG6BE5AC49B4893783562441331210\
1Y9gSOZQMXPLVOKUMJSLIQKHP }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100, p=real(p2)+PI
q=2*PI*floor(p/(2*PI)), r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
