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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With a minor rush lying on the shelf beside me, and a customer coming to pick it up this afternoon, I will have to be terse in today's FOTD discussion. When I saw today's image I was reminded of squid tentacles, yet at the same time, no squid body was visible, leading me to name the image "The Hidden Squid". The image is part of the Julia set that corresponds to the western shoreline of the Mandelbrot fractal created by the formula (-Z)^1.5*(C^0.1)+C. The rating of the image is 7, and most of this rating depends on the striking definition of the tentacles. Almost all the effect of squid tentacles was achieved by arranging the color palette to emphasize the tentacle-like shapes. In themselves, the underlying fractal shapes are hardly worth a rating of 5. To speed up today's formula, I have made a small change in it. The change is minor, and does not affect the running of any parameter files that were created with the earlier version. The render time of 12 minutes is true on my worn-out fractal machine. On my newest unit it renders in just under 2 minutes. But regardless of the speed of the computer, a download of the image from: A bit of hazy sun in the afternoon and a temperature of 50F 10C gave the two fractal cats one acceptable hour in the thicket at the bottom of the yard here at Fractal Central on Monday. When they came inside, they chased each other up and down the stairs like kittens a few times before asking for their tuna. Today is starting cloudy, chilly and damp. Most likely the cats will be once again mildly satisfied. My day is starting in an average manner, and will most likely end in an average manner, with the next fractal appearing almost by magic in 24 hours. Until then, take care, and how did I ever manage to keep this FOTD going for almost 8 years? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Hidden_Squid { ; time=0:12:20.72--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=multXYZWcompjb-min function=ident/flip
passes=1 center-mag=0.332068/8.60423e-016/15.62891\
/1/90/3.88578058618804789e-016 params=90/90/1.5/0/\
1.1/0/0/0/-0.7762321652/0 float=y maxiter=6000
inside=255 logmap=51 periodicity=10
colors=000fAaiAVlBPoCItA6rBArCBpEFpGGpHKoKLoLPoNQn\
PUnQVlSYlU_lVbjXdjZgj_iialicnjcridoidlgdigdffdbfd_\
ddWddVbdSbdPadLadI_dFZcB_b7`a6a_AbYDcWFdUIeSLfPNgL\
QiHSgGVfEYdC_bBbaAf_AiYAlWAoVArUAuSAyQAzPAzNAzLAzP\
CzQGzUKzWNz_QzbUzdXzgazjdzngzpkztnzuqzytzzxzzzzzzz\
zzzzzzzzztzzlzrdzjWzaPzUGzLAzD7zD6zD6zD4zD4zD2zD2z\
D1zD1xD0tD0qD0nD0kD0gD0dA0eD0eF4gI7gKDgNGiPKiSPiUS\
kWWkY_kablbglfjngonjrnlupozppzptzquzqyzqzzsyzsyzty\
ztyzvyzvyzxwzxwzxwzywzywzzwzzuzzuzzuzzuzzuzzuwzwtz\
wpzynzyjzygyzdyzaxzYxzVxzSvzPvzLtzItzFtzBsz7sz4qz1\
qz0qz0pz0pz0sz0pz0lz0kz0gz0ey0cw0at1Zp2Xo4Ul6SiAPg\
BNdDKaFH_GEWICULASNAPPALQAKSAGNA7QABUAFWAIYALaAPdA\
SfAViAYlAanAbpAftAiuAlyAozArzAuzAyzZxzcwzhwzmwzmwz\
mwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwymwymwymwymw\
ymwymwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzm\
wzmwzmwzmwzmwzmwzmwzmwzmw }
frm:multXYZWcompjb-min {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(p3-1):
z=(-z)^(p2)*(c^(q))+c,
|z| < 400 }
END PARAMETER FILE=========================================
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times.
