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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: While studying today's fractal, I had the impression of staring down into a pit. This is why I named the picture "It's the Pits" -- I did not choose the name because the image is unusually bad. In addition to rating a 7, the image is a reasonably fast one, taking only 2-1/2 minutes to render on one of those old-fashioned 200mhz Pentium machines. The scene is that of a tortured midget that exists in the Z^(1.195)+C fractal, at a location well out on the infinite logarithmic spiral. The parent fractal itself is also tortured looking, and well worth a look. Midgets in Mandeloids of such a low order are exceedingly hard to find. I stumbled upon today's midget purely by accident while randomly zooming into unlikely corners of the parent fractal. Though the parameter file is fast, the download of the GIF image file is even faster. That download may be found at: The all-important? fractal weather today here at fractal central was perfect. Sunny skies and a temperature of 69F (20.5C) were ideal for the cats, and a slow day gave me time not only to let them outdoors all afternoon, but also to hunt and find those elusive fractals. The armchair philosophy continues on hiatus until I have something worth the effort it takes to write it. But the philosophy will inevitably return. Until that time, the fractals will prosper as I devote my full energies to fractaling. I'll shut down the fractal shoppe at this time, but I'll return in 24 hours with another outstanding fractal and a few words about it. Until then, take care, and fractals are like spirits. We can see pictures of them while awake, but the originals appear only in our dreams. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Its_The_Pits { ; time=0:02:28.74 -- SF5 on a P200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1
center-mag=-1.43935876863394000/+1.17860135751928400\
/101.2729/1/-99.999 params=1.195/0/53/0 float=y
maxiter=10000 inside=0 logmap=39 periodicity=10
colors=0005ie5if4fh2dk4ah4_e5Xb5T_5PX7MU7IS7GO8CL8AI\
87GBAEEBEGCEIEELGEMICPKCSLCTMCVOCYQB_SBaTBdUBeVBhYAj\
_Ak`AnaAobAk_8iX8fU8dS7`P7YM7VK5TH5PE5<2>H54L58<3>V5\
LY5O`5Qb5Te5Xh5_j5am5do5h<2>w5otBjsHfrMbpQYoVUn`QnbP\
mdMiXSePVaH`Y8dU0iQ0mU0jX0h_1fa4dd5ah8`jBYmEVoHUrISv\
LPxOOzQLzTIzUHzSLzPOzMSzLUyIXxG`wCbvAft7it5kpAm<3>aP\
nYTnUVnQ_n<3>Amo5po1soHiiO_bTPXVEQX8M_CL`HKaLIdPHeTG\
fXEi`BjdAmh8nk7oo5rs4sw2tz1sx7swB<2>srOspSsoVsn_skds\
jhsikshosessdwsbzsazodykfviirekmbmi_oeVr`TtXPwTMxPTy\
TYyVbyYhy`mzdrzfwzizzkxzh<3>izTfzPXzMOzLCzK2zI8zOCzS\
IzVMz_SzbVzf`zj<3>rzyvzzzzz<5>zzz<3>yzzyzzzzxzztzzr<\
3>zzezzazz_yzXxzTwzQvzOxzQzzTzzUzzXzz_zz`zzbzzezzf<2\
>zzm<3>zzCzz2zz0zzTzzwzzszzozzkzzh<3>zzUzzQzzOzzKzz_\
<3>zzbzzbzzdzze
}
frm:MandelbrotBC = { ; Z = Z^E + C
e=p1
p=real(p2)+PI
q=2*PI*trunc(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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