|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Many problems still plague Fractal Central, so we'll have another short discussion today. The digging went well on Tuesday, but in the afternoon, a large pile of wet heavy snow slid off the fractal house roof onto the cats' porch roof and collapsed it. In addition, the house roof has started leaking over the rear bedroom. But between all the other distractions I managed to find a quick fractal. I named it "High-Order Fractal" because it combines 4 different powers of Z before adding 1/C. I use this MandelbrotMix3a formula relatively infrequently because the images it draws tend to be too chaotic, and also because the critical point must be calculated separately and entered as the real(p5) parameter. Though I found the image in only a few minutes, it takes 1/2 hour to render. I could rate the hastily-found result no higher than a 4. The 1/2-hour render time can be avoided by downloading the completely finished GIF image from: The fractal weather Monday and Tuesday was partly cloudy with temparatures around 30F -1C. But the fractal cats are not happy. With their hangout roof collapsed, the dynamic ones were sullen indeed, spending several hours in full-sulk mode, hunkered down with thrashing tails stirring up an indoor breeze. Luckily I stocked up on tuna before the big storm. Tuna always restores a cat's good spirits. (Too bad it doesn't work as well on me.) There is still a lot of digging to do, so until next fractal, take care, and see you in 24 hours. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
High-Order_Fractal { ; time=0:29:38.38--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix3a function=recip passes=1
center-mag=-2.24578194714223/-0.007932233500827/2.\
324295e+007/1/95/1.171e-007 params=0.3/1.5/0.2/2.5\
/0.1/3.5/1/-1.5/1.037043411258671/0 float=y
maxiter=1600 inside=255 logmap=202 periodicity=10
colors=000iC9mA6kC9jEBiFDgHFfIHeKJdLLbNOaPQ`QSZSUY\
TWXVYbVUWW_PWeIWk9TqCWpFYpH_pKapMcpPipSkpUmpXopZqp\
artfsscqp`nmYkkVhhTefQbcN_aKYZHVXFSUCPS9MP6JN3GK1E\
I5GL8INBKQFMSIOULQXPSZSU`VWcZYea_hdajhclkeongqqhsl\
cphZmcUj_QgWLdRGaNBZJ7WQAVXCV`JPdQKhXFlcApj5sq0mo4\
hn7clAYkDTiGOhJIfMDeP7cQ8dS9dTAdVBeWCeYDeZEf`FfaGf\
cKOBGfdVkrTjoSimRhkQgiPggOfeNecMd`LcZKcXJbVIaTH`R7\
d5G`POXgWTz`NneIcjCSn7HmAJlDKkFLjINiKOiNPhQRgSSfVT\
eXVd_WdaXe`Wf_VgZUhYTiXSjWSkVRlUQmTPnSOoROpQNqPMrO\
LsNKsNKqOJpOJnPJmPJkQJjQIhRIgRIfRIdSIcSHaTH`THZUHY\
UHXUHSTONSUIR`DQf8Pm4Os9eVDw6Bs8Ap99mB8jC7gE5cF4`H\
3YI2VK1SL4RO7RRAQTDQWGQZJP`MPcOPeROhUOkXNm_NpbNseM\
uhMxjMzeKv`JsWHpRGmHPzNFjT3WS6VS8USATSCTSESSHRSJQS\
LQSNPSPOSSNSUNSWMSYLS_KDWWSaKgd7ef9dgBbhDaiF_kGZlI\
YmKWnMVoOTqPSrRQtTPuVMvQOwWPzaRzfSzlTzqUzpUzoUzoVz\
nVzmVzmWzlWzkWzkdz9gz9ccz }
frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }
END 20.0 PAR-FORMULA FILE==================================
|
times.
