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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's another busy day here at F.C., with four customers clamoring for attention, so the discussion will be brief. Today's scene is something that I found a few weeks ago. But when I found it, I decided that it failed to meet FOTD standards. The scene lies in the Mandeloid fractal that results when Z^1.5 is subtracted from Z^(-0.2) and (1/C) is added. The image is not much in the way of fractal art, but it is one of the most unusual collections of Mandel things in one concentrated area that I have yet stumbled upon. Such a motley crew of Mandeloids is rarely seen. When I saw today's image, I could not resist the temptation to name it "Motley Mandeloids". I rated it at a 4. It's near total lack of artistic merit precludes anything higher. The render time of 46 minutes, at least on my tired old clunker, helps none at all, and actually holds the overall value, which can rate as high as 1000, to a meager 9. The favored way to see the image will almost certainly be to download it from the FOTD web site at: The fractal cats were not very happy with Monday's weather here at Fractal Central. Though the flooding rain stayed just to the northeast, the frequent heavy showers during the day kept things thoroughly wet down. And the temperature of 84F 29C and oppressive humidity made things equally uncomfortable for humans. Today is starting cloudy and muggy. It could be a repeat. If I find time, the next FOTD will appear in 24 hours. If not, it could be 48 or 72 hours. Until whenever, take care, and watch to see what develops. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Motley_Mandeloids { ; time=0:45:58.08--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=-0.6806213875813651/+0.1253195549246482\
/890.3401/1/-140/-7.37500338576779768e-013
params=1/-0.2/-1/1.5/0/0 float=y maxiter=15000
inside=0 logmap=54 periodicity=10
colors=000oQXpPbpPgqOlsMprNqqOqpOqoPqoPqnQqmQqlRqk\
RqkSqjSqiTrhTrgUrgUrfVreVrdWrcWrcXrbXraYr`Yr_Zs_Zs\
Z_sY_sX`sW`sWasVasUbsTbsScsScsTbqUboUbnValVajWaiWa\
gX`eX`dY`bY`aZ__Z_Y__X__V`ZT`ZSaZQb`1b`DaZP`T`ZNl_\
Ok_Pj_Qi`Rh`Rg`SfaTeaUdaVcbVbbWabX`cY_cZZcZZc_Yd`X\
daWdbVebUecTedSfeRffQffPggOghNgiMjhLhiMgiMfiMeiMdi\
McjMajN`jN_jNZjNYkNXkNVkOUkOTkOSlORlOQlOOlPNlPMmPL\
mPKmPJmPHmQGnQFnQEnQDnQBpQAqPCnQDlREjSFhTHfUIdVJbW\
K`WLZXNXYOVZPS_QQ`SOaTMbUKbVIcWGdYEeZCf_Ag`8hZ3jX5\
ma6hf7ck9_pAVuBQwBOyCMwFPuIRtLUrOWpRYoU`mXbk_djbgh\
eifhkekncnpessbqr`orZmqXkqUipSgpQeoOcoJZvMaoOdiQgc\
SjYUmSUpOWpMXpLZpK_pIapHbpGdpFepDgpChpBjp9kp8mp7mr\
7nq6np6no6no5nn5nm5nl4nl4nk4nj3ni3ni3nh2ng2qe1of2n\
g2mg3lh3kh3ji4ii4hj5fk5ek5dl6cl6bm6am7`n7_n8Zo8Xp8\
Wp9Vq9UqATrASrARsBQsBOtBNuCMuCLvDKvDJwDIwEHxEFzCGz\
EHzFHzGIzHJzIJzKnzInzNozS }
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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