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Fractal of the Day
by Jim Muth
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FOTD -- December 12, 2008 (Rating 5) Fractal visionaries and enthusiasts: A very busy day on Thursday means a short discussion. Today's image exists in a fractal that is starting to change from a Z2+C Mandelbrot set to a Z^(-12)+C Mandeloid. There is quite a bit of interesting stuff that happens when a fractal with a positive exponent starts to change into one with a negative exponent, but that story will have to wait for a less busy day. The chief feature of today's image is the incredibly sandy texture of the East-Valley-type elements surrounding the central minibrot. The name "Positively Negative" refers to the change from a positive to a negative exponent of Z. The rating of a 5 is all I could give the image, which is merely a fancy-decorated scene in an East Valley elephant trunk. The calculation time of 8-1/2 minutes is somewhat slow. For those who do not run parameter files, the finished image is or soon will be posted on the FOTD web site for instant viewing. The web site may be accessed at: A steady all-day rain and temperature of 34F +1C kept a damper on things here at Fractal Central on Thursday. The fractal cats gave up hope early, and spent the day in the coziest places they could find. In my department, the day was far too busy for me to pay much attention to the weather. The next FOTD is due to be posted in 24 hours, though with another very busy day or two expected, don't be surprised if I miss a couple days. Until next time, take care, and be at peace. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
PositivelyNegative { ; time=0:08:27.85-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot6 passes=1 float=y logmap=574
center-mag=-2.265184766427815/-0.0000038148153571/\
2.576178e+009/1/-145/0 maxiter=5000 periodicity=10
params=-12/16/1e-007/17 inside=0
colors=000LU_NVYPWXQXVSYTUZSW_QY`OZaN`bLbbJdcHedGg\
eEifCkgBmh9ni7pj6rk4tl2ul1epLQtcBwvGrsKmqOhnSdlX_j\
`VgdQemPhhMccJ__GWVDSO5KQ8MRBOSEPTHRUKTVNUWPWXSYYV\
ZZY`_`b`ccafebhgckhdnjeqlftmgwohypiwnjvlktjlsimqgn\
peoodpmbql`qj_riYsgWtfVueTvcRwbQx`Oy_MzdByaGyZLyWQ\
xUUxRZxOcxLhwJlwGqwDvwBzlClaCZRCL722C75HC8MHAQMDVR\
F_WIe_Lc`KbaK`bJ_cJZdIXeIWfHUgHThGSiGQjFPkFOkFNiIM\
hKLgNKfPKdSJcUIbXHaZH``DiW9qR5yM8uOBrPEoRGlSJiUMfV\
PcXR`YUY_XV`RZjZSafLTnEKu7Cq6En5Gj4Ig3Kc2M`2N_4O_6\
OZ8OZAOYBPYDPXFPXHPWIQWKQWMQVOQVQQURRUTRTVRTXRSYSS\
_SRaSRcSTiPSfRRdSQbTP_UOYVNWWNTYMRZLP_KM`JKaIIbG7Z\
IGcBNgGOhKPhOQhSRhWSh_ShdThhUhlVhpWhtXhnsTzckxXhvQ\
etKbrD_t3Tr5Vq7Xp9YoB_nD`mEblGckIejKfiMhhNigTZgZOf\
dDeh1fi2fj3fj4gk5gk5gl6gl7hm8hn9hn9hoAioBipCipCiqD\
jrEjrFjsGjsGktHktIkuJkuJ`zEOz8QzASzBTzDVzEWzFYzHZz\
I`zJazLczMdzOfzPgzQizSjzT }
frm:DivideBrot6 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2,
d=real(p2)+0.00000000000000000001, f=imag(p2)+16:
z=z^(a)/(z^(-b)+d)+c
|z| < f }
END PARAMETER FILE=========================================
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times.
