February 9, 2011: Nitty Gritty | Feb. 8 | Feb. 11 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
In today's image we get down to the nitty-gritty, which is what I named
it. This is a picture of a miniature Mandeloid caught in the
process of trying to morph itself into a well-defined baby Mandelbrot
set. But with an exponent of `Z' of only 1.913, the little
fellow lacks the material he needs to pull himself into perfect
shape. The intent and effort are there; only the material is
lacking.
I gave the minibrot a somber gray background to show that regardless of
how hard he tries, he will never reach full mandelhood. But
look at the richness he has created in his surroundings in his futile
struggles to achieve perfection. His efforts alone certainly
rate the 6-1/2.
In addition to the lack of a solid `2' for an exponent, the minibrot at
the center of today's image also suffers from a lack of a sufficient
maxiter. The rather anemic maxiter of 1750 should be at least
doubled if we want to see all the central minibrot has to offer.
The calculation time of a little over 2 minutes will pass in less than
half a flash. Only then will it be known whether the result
was worth the effort. To keep risk of disappointment at a
minimum, I recommend viewing the finished image on the active FOTD web
site at:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
The original classic web site may be accessed at:
http://www.Nahee.com/FOTD/
Tuesday brought lots of sun to Fractal Central, but it also brought
biting winds and a temperature of 25F -4C. The fractal cats
concerned themselves only with the sun, which despite the outside
chill, was strong enough to keep them on their shelf in the window most
of the afternoon. My day was busy and thankfully free of
politics. The next FOTD is due in 24 hours, though I hear we
have a problem back at Old Fractal Central, and I may need to go there
on Wednesday to check things out. Until whenever, take care,
and be satisfied with what you've got.
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
Nitty_Gritty
{ ; time=0:02:10.12-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=+0.7007740040949522/+0.8641796338870031\
/70786.44/1/-90/0 params=1.913/0/-5/0 float=y
maxiter=1750 inside=0 logmap=129 periodicity=6
colors=000VTVVTVVTVVTVVTVVTVUSUUSUUSUUSUUSUTRTSQSR\
PRQOQPNPOMONLNMKMLJLKIKJHJIGIHFHGEGFDFECEDBDCACB9B\
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LJzLFzLBzNEzPGzQIySKxTMwVOwWQwYSxZUx`WyaYyc_ydazac\
z_ezYgzWizTkzRmzPozNqzKszIuzGwzExzByz9zz7zz5zz8zzA\
zzDzzFzzIzzKzzNzzPzzSzz2z }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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 PARAMETER FILE=========================================