FOTD -- October 25, 2009 (Rating 9)
Fractal visionaries and enthusiasts:
Today's image is unusual enough to earn a rating of a lofty 9.
It is a scene in the parent fractal that results when various
negative parts of Z^(-1.4) and Z^(-4.4) are combined and (1/C)
is added. One full point of the rating is due to the extra
effort I put into the coloring and the bit of luck I had with
bringing up random color palettes.
The parent fractal is a typical double-negative thing, with a
prominent 'fan' extending east from the origin and filaments
that terminate in rings. Today's image is located toward the
eastern edge of the 'fan'.
The name "Fractal Dissolution" refers to the appearance of the
image, which gives the impression of being caught in the act of
evaporating. BTW, the image is not 'evaporated'. The evapora-
ted version is too chaotic.
The calculation time of 2-3/4 minutes is thankfully brief, and
will make the image available to everyone who wishes to
calculate it. Those who do not consider calculation their cup
of tea may find their tea on the FOTD web site at:
<
http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
where the finished image is posted.
The weather on Saturday left much to be desired here at Fractal
Central. The temperature of 68F 20C was mild enough, but the
day was spoiled by heavy clouds and torrential rain during the
late morning. The fractal cats spent the day distracting
themselves with various diversions, while my day was average.
The next FOTD will be posted in 24 hours. Until then, take
care, and miracles do indeed happen.
Jim Muth
jamth@???
jimmuth@???
START PARAMETER FILE=======================================
FractalDissolution { ; time=0:02:44.30-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+1.874477823124435/-0.03584207960073543\
/1.2e+009/1/-127/0 params=-4/-1.4/-0.4/-4.4/0/0/0/0
float=y maxiter=1400 inside=0
logmap=192 periodicity=10
colors=000ABKA1PK1PA1PA1KA1PK1PA1PA1KA1PK1PA1PA1KA\
1PK1P61Q73K84S96QA7OA9NBALCCJEDIHFHJGHMIGPJFSLDUMC\
UNFUNIUNLTOOTORSOUSPXRP_RPbQQeQQhPQkPRnORqORsLUoJX\
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cmK_rHWvIYqJ_lK`gKbbLcYMeTMgONhJOjEOkAPhDPfGPdJQaM\
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bbIXZMRVQLRTFNX9J_3DPL7Ea14r3Dj4Mc5VW7cP8lH9uAErJJ\
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fRKXFKVGNUHPTHRSIURJWQJYPK`OKbNLdMMgLMiKNkJOnIOpHP\
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gWVkUYoS_sRbvPexNgzMjzKmzIpzGrzFuzDxzBzzAqzKhzT_za\
RzjIzsJzrJzqJzqKzpKzoKzoLznLznLzmMzlMzlMzkMzkOzcPz\
WQzOSzGTz8Uz1Tz5Sz9RzCQzG }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
