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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's picture of a Z^(sqrt(2))+C midget "Creature Feature" because I found it on a Saturday evening, just as I was ready to settle down to watch my traditional Saturday night junky old creature feature on TV. The image rates a 7 because it shows a relatively new kind of midget. But what is a creature feature? To qualify as a creature feature, a movie needs to meet certain low standards. Most importantly, it must violate so many scientific principles as to be totally unbelievable. A typical plot might be to have the planet Earth torn in half by a magnitude 15 earthquake, (impossible), and the two halves drift off in their own orbits. (Also impossible.) Of course, we would need a 'scientist' to exclaim something like, "wow! what a trembler!", as the quake happened. (The word is temblor.) Next, the special effects must be immediately obvious and totally unconvincing. Any invading alien monsters must look like men in rubber suits, and not like actual alien life forms. This leaves out most current movies with their computerized effects that can be quite convincing. These modern films can be enjoyable, but they're not creature features. The dialog of course must be so stereotyped as to be predictable. A line such as, "look George, an alien from outer space!", can bring a dying movie back to life in a hurry. Finally, in case all else fails, and to interest the ladies, the movie must have a human relationship of the proper man-woman kind. And the viewers must spot the lovers before the lovers recognize each other. What does all this have to do with today's image? Well, today's image reminds me of an alien fungus growing on a man's arm, which will soon turn the man into another alien fungus. The fungus is actually the filaments shooting out from the midget, which is located at the edge of a bay of its parent fractal. The parent is shaped quite like its child. The parameter file renders in a quick 2-3/4 minutes, and is about as much work as downloading the GIF image from: The fractal weather today was pleasant but uneventful, with partly cloudy skies and a temperature of 79F 26C. The cats must have approved, though they slept most of the afternoon. Until next time and next fractal, take care, and see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Creature_Feature { ; time=0:02:42.30--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.56270101574334630/+0.915160418848623\
90/160.9974/1/-155 params=1.414213462373/0/75.3/800
float=y maxiter=3600 inside=0 logmap=47
colors=00006R06R07S18T29U3AV4BW5CX6DY7EZ8F_9G`AHaB\
IbCJcDIdEIeFHfGGgHGhIJiJMiKPiJSjIVjHYjG`jFbkEekDhk\
CkkBnlAql9tl9vlBwkCwkDwkFwkGwjHxjJxjKxjLxiNxiOyiPy\
iRyhSyhTyhUyhPlaK`VFOOACHIAEQ8C_69g47q24w02r14n25i\
37f48c5A_6BX7DT8EQ9GNAHJBJGCKDCLHEKKFKOGJRHJVJIYKI\
aLHdMHhNGnQGrSFvUFyWEzYEyXDwVCuUCsSBqRBoPAlO9iO9gN\
8eN8cM7aL6_L6YK5WK5UJ4SI3QI3OH2MH2_OLlVcyav5kGAgFE\
cFJ_ENWESSEWOD`KDdGCiCCm9Cn8Dn8Dn7Eo7Eo6Fo6Fp6Fp5G\
p5Gq4Hq4Hq3Ir3Ir3Ir2Js2Js1Ks1Kt0Lt0Lt0Ln2Rh3Xb4bU5\
UI7A39ABDAJHARLBSMASMATM9TN9UN8UN8VO7VO7VO7WP6WP6X\
P5XQ5YQ4YQ4YQ4`UEbYNd`Wfdehhnjkwkgtlcqm_onXloTjoPg\
pLdqIbrE_sAYtBVtCTsDWrEYrF_qGaqHcrI`rJYrKVrLSrMPrN\
MrOJtPGwQDzRPzS_zTjzUuzVrzWpzXmzYkzZhz_fz`czaazbZz\
cXzcUzcSzcPzcNzdLzeMzfMzgNzhNziOzjOzkOzlPzmPznQzoQ\
zpQzqNzrKzsHztEzwBzv8zw6zxAzzDzzGzzJzzMzzPzzSzzWzz\
Zzzazzdzzgzzqzzpzzpzzozzo
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(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| < a }
END 20.0 PAR-FORMULA FILE==================================
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