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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: At the end of yesterday's discussion I stated that today's image would be a much better one. Actually, today's image is another perfectly average 5-rated one. I apologize for any bitter disappointment. The parent fractal of today's image was created by adding 0.018 part of Z^3 to Z^2, then adding 1/C instead of straight C, and increasing the bailout radius to 40000. It is a tiny Mandeloid, barely visible at the center of the default screen, shaped like a classic M-set with a greatly amplified negative stem. Instead of being a mere stick, the stem has broken apart into a new open area shaped much like a Julia set. But this area is not a Julia set, because it has Mandeloid buds and midgets on its border. One of the valleys holds today's scene. When studying the image for a name, I noticed the multitude of red-orange spots, and decided to name the image "Spots and Spotlets". The image is a pleasant one to view, especially on a video-tube monitor in subdued light, even though it rates only mediocre. Perhaps the image's greatest drawback is the 21 minutes required to render it from the attached parameter file. But that drawback can be avoided by downloading the finished GIF image from Paul's FOTD web site at: The version of FractInt used by Scott on his site has been recently having trouble correctly rendering the images created with the 'Mystic2' formula. However, today's image returns to the 'MandelbrotMix4' formula, which has always worked properly, so Scott's site will have the correct image. A heavy thunder-shower at noon totally spoiled the cats' day Monday here at Fractal Central. When the sun appeared at 1pm, the yard was a puddle of mud and the holly trees were dripping, making it unfit for the delicate paws and ears of the dynamic duo, who spent the afternoon sulking on the porch. At least the temperature of 81F 27C was within their comfort zone. This morning is actually starting sunny, but more heavy rain fell during the night, and even more rain is forecast for this afternoon. Will things dry out in time for the duo to have a pleasant day? Find out in 24 hours, when the next FOTD will appear. Until then, take care, and pray for the rain to stop. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Spots_and_Spotlets { ; time=0:21:35.86--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.02416004980605908/+0.000316771873493\
02/4.86578e+012/1/142.503194220881852/-0.009630602\
08333854639 params=1/2/0.018/3/-0.9/40000 float=y
maxiter=1600 inside=bof61 logmap=207 periodicity=10
colors=000MH`PHcRHgTHkWHoYHs_HvVMjQRZLWNJYOI_PH`QG\
bRFcREeSDfTBhUAiV9kV8lW7nX6oY5qZ4rZ7kW9eUCZSETQGRR\
IPRKNRMLROKRQIRSGRUERWCRXBRZAU_9X`8_a7bb6ec6g`AdZD\
bXH`VKYTOWRRUPVSNYPLaNJdLHhJFkGDoEBrC9uAAqBBmCCiDD\
eDEbEFZFGVFHRGINHJKIKGILCJM8KM5KR4JV4I_4Hc3Gh3Fl3E\
p3Dq2Bq2Aq29q28q27q26q25q24q23q22k95eG8_MAUTDOZGIe\
ICkL6rO0xQ4tO8qNBmMFjKJfJMcIOaKQ_MSYOUWQVUSXSUZQV`\
OXaMZcK`eIbgGdhEekA`n7Xq3Tt0Ps1Us1Zs1cs1hq2co3Zn4V\
l5QzcLz_HzWCzC7wD3sC2oB2kB2gA2cA2c92b91b91b91a91a9\
1a91ZD6XHAVLFTPJRSOPWSN_XLc`JfdLefMegNehOeiPejRelS\
emTdnUdoVdpXdrYdsZdt_du`dvY`uVYuSVtPRtMOsJUsHYsgcn\
kgdndVqVMnXQlZUi`Ygbaddebfi_hmYjqWkt_lkcmcfnW`kUWi\
TRgSMdRGaPBZO6WN1TM5UO8UPCWRFYSJ`UMbVPdXTfYWh__j`b\
kbflcimelnfhoadoX`oTXpOTpJPpFLqAHq5Eq1FmBFiLFiVGkd\
GmnGowEqqCtkBwe9z_8zV6zP4zJ3zD1z70z24z48z5Bz7Fz8Jz\
AMzBQzDUzEXzG`zHdzJgzKKzX }
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 20.0 PAR-FORMULA FILE==================================
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