June 7, 2013: Bright Shadows | June 5 | June 9 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's intricate fractal came to life when I rendered a relatively
ordinary fractal with the 'outside' set to 'fmod' and the proximity set
at 0.25. This 'fmod' option all too often results in little
more
than a flat blank screen, but when it does work, as it does in today's
image, the results can be well worth the effort.
Today's generating expression combines Z^(2.05) with straight Z before
adding straight C on each iteration. The resulting parent
fractal
resembles two partially merged Mandelbrot sets. Today's scene
lies in the outer debris on the west shoreline of the main bay.
The name "Bright Shadows" has nothing to do with an old TV soap
opera. It refers to the brilliant patches spotted throughout
the
frame.
With a rating of a 7, the image's artistic worth exceeds its math
worth, which scores a rating of only a 6.
The calculation time of 1-1/3 minutes will worry no one, especially
those who choose to view the image on one of the web sites.
Today began cloudy here at Fractal Central and went downhill when the
rain from T.S. Andrea arrived at noon. The chilly temperature
of
66F 19C failed to bring cheer. The fractal cat gave up early
and
spent most of the day in my favorite chair; the fractal humans, who
never give up, strongly disapproved of the weather conditions.
I doubt that there will be time to produce a FOTD fractal tomorrow, so
the next FOTD will be posted in two days. Until then, take
care,
and avoid becoming attached to any particular fractal. They
have
a way of vanishing without warning into the ether. (BTW, what
is
this 'ether' that things vanish into?)
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Bright_Shadows { ;
time=0:01:20.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident float=y
center-mag=-1.574988358385002/+0.01397662935983304\
/4.689995e+011/1/80/0 params=1/2.05/1/1/0/0/0/0
maxiter=1750 inside=0 proximity=0.25 outside=fmod
logmap=yes periodicity=10 mathtolerance=0.05/1
colors=000260560A62E62H62K62P63T63W63`65c65g65j65o\
67s67v77v78v98v98v6Av98vA8vC7sE7lG5eH5`J5UL3NO3HP2\
CR25T20U00W00Y00Z00`00Z50YA0WH0UL0TR0RX0Pa0Oh0Mm0M\
r0Om0Pj2PeARaJTXPTUCLf0Ct06t06t09t0Ct0Gt0Jt4Mt7PtA\
TtEWtHZtKbtNetRitUltYot`stcvtgytjztmztpzttztvztvzt\
vztvztvztvztvztvztvytvvtvstvotvltvitvjtvjtvjtmltel\
tYltPntHnt9nt9ntAotAotAotCqtCqtEqtEqtFstFstHstHttJ\
ttJttKyqJtkHqkFnkFjkEghCbeCZaAWZ9TW5OU9PSCPSERRHRR\
KRRMTPPTPTUPUUNYUN`WNbWLeYLhYLjbKmgKsoKvwcvzmvzzvz\
zvzmvzcvzCvz8mw5eo2Yg0PZ0HR09J04E00A34CA9GHEHNJLUN\
O`TPfYTmbUteYtiYtfWtcRtZMkUGcPBWK6PF6DC48A33903A33\
C42C67G67J67M68P68T6AW6AZ6Ab6Ce6Ch6Dl6Do6Ds6Fv6Fv6\
Hv6Hv6Hj7LPLP5YS9ZUAZUCZWE`WF`XH`XJ`XP`cWZhbZmhYto\
YtvWtvWtvbtvgrtnksscoyWmzPjzHhz8gz2`zAWzIRzPMzXHzc\
Czk7yrJOLT60Y60bP0gi0lz3pz7oerjbme`h`YeWW`RTWNRSJM\
NFHKCEH99D468065062060060 }
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=========================================