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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The big job went out on schedule this morning, and the customer is happy. The most recent rush has ended and the FOTD has returned. I would like to guarantee that this interruption will be the last in the FOTD series of images and discussions, but I have not yet learned to see the future. To celebrate the re-appearance of the FOTD we have gone to the fractal that results when Z^(-1.5) is subtracted from Z^(1.5) before (1/C) is added. This fractal is little more than a single small Mandeloid surrounded by scattered bits and pieces of fractal debris. Today's image is located in a rudimentary valley of one of these tiny bits. I rated the image at a 6, though I could easily have chosen a rating of 7. I settled on the 6 because much of the image's effect was achieved by rendering the scene with the outside set to 'fmod'. The basic scene is really quite bland. I named the image "Garden of Rings". The rings were created by the 'fmod' option, which draws a series of overlapping bands and rings, usually centered on points of interest. This option is also the simplest way to find hidden midgets, especially in the Mandeloids with exponents of Z between 1 and 2. IMO, the render time of 6-1/2 minutes is reasonable enough, but individual opinions of what is reasonable may vary, so in addition to rendering the image from the included parameter file, the image may be seen by downloading it from the FOTD web site at: My philosophical ideas are taking shape, but are not quite ready to be made public. After all, radical ideas demand radical thought and preparation. Very pleasant but very dry weather continued all day Tuesday here at New Fractal Central. Conditions are approaching drought status, but the new fractal cats did not even notice. They spent the day playing under an old afghan which I spread on the living room floor for them. My day was pretty much occupied with cleaning up after the big rush of the past week or so. Hopefully, such rush jobs will not arrive too often, though I certainly do not want them to totally vanish. The next FOTD will arrive in 24 hours. That is almost but not quite guaranteed. Until then, take care, and how would it be possible to prove that the universe is not real? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Garden_of_Rings { ; time=0:06:27.12--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.18116619808723830/+0.390853245407780\
80/1.034841e+007/1/162.5/3.31205395526223967e-007
params=-1/-1.5/1/1.5/0/0 float=y maxiter=1200
inside=0 proximity=0.8 outside=fmod periodicity=10
logmap=yes
colors=000zzzwyvtvrqwmnvhkuhkshjqhjoijmjikjiikigli\
flhemhgmhhngjogkogmpfnqfpqfqressetsevtfwsgxshyrizq\
jzqkyvjwtivrhupgtnfsleqjdohcmfbkdajc`ha_g_ZeYYcWXa\
UW_SVYQUWOTUNSTLRSJPRHNQFLPDJOBHN9FM7FL3FK6GJ5HI6I\
H7JG7IF8GE8FD9EC9CBABAA99B88B87C76C75D64D63E72B61C\
62D64E66F88GAAHCCIEEIGGJIGKJHLLIMMJNNJOOKOPLPPLQPM\
RPNSPNTPOUOPUOQVOQWORXOSYOSZOT_OU_OU`OVaOWbNXcNXdN\
YeNZeNZfN_gN`hN`iNajNbkMcmNblNbkNbjNbiNbhNbgNbgNbf\
NbeObdObcObbObbObaOb`Ob_ObZObYObYPbXPbWPcVPcUPcTPc\
SPcSPcRPcQQcPQcOQcNQcNQcMQcLQcKQcJQcIQcIRcHRcGRcFR\
cERcDRcCRcCRcBRcASc9Sc8Sc7Tc7Tc6Uc5Uc4Vc3Vc2Xc1Wc2\
Xc3Xc3Xc4Xc5Xc5Xc6Xc6Wc7Wd8We8Wf9Wg9YhAZiBbjBhkCol\
DumDznEzoESRFSRGSRGSQHSQHSPISPJSOJSOKSNLSNLSMMSMMS\
LNSLOSKOSKPSJPSJQSIRSIRSHSSHTSGTSGUSFUSFVSEWSEWSDX\
c3l`5hZ7eX9bVB_SDXQFUOHRK9JLCLLEMLGNMIOMKPMNQMPRNR\
SNTTNVUNXVO_XOaYmGbmHcmJc }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
