August 20, 2012: Polite Breakdown | Aug. 19 | Aug. 21 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image might
or might not be a fractal. It's all in the opinion of the
beholder. The image is actually a scene in one of the spiral
patches of yesterday's image, but what we see is not a legitimate
fractal, it is an image created at a magnitude of almost 10^14, which
is beyond the range of resolution of the Fractint math routine.
This presents difficulties in calculating today's image with programs
other than Fractint. The resolution breakdown, which creates
the
venitian-blinds effect, is particular to the Fractint math routine, and
if the parameter file is run under other programs, a different image
will result. A program using a routine with a greater
resolution
limit will produce an image with full resolution, which will be a more
accurate image for sure, but will miss the particular distortion that
is featured in today's image.
I chose today's imperfect image to be the FOTD because I have never
seen such a curious math breakdown before this. Since the
image
is artificial, I could not give it a rating, but this does not mean it
is totally worthless.
The calculation time of 2-2/3 minutes is admittedly slow. The
web
sites will eliminate most of the wait however.
A temperature of 68F 20C accompanied by clouds and rain showers left
today with much to be desired here at Fractal Central. The
fractal cats checked the outside conditions once, then found more
important things to concern themselves with. The big event in
the
human department was a friendly discussion about the
so-called 'war on
women', FL and I taking opposing sides.
BTW,
I won the argument.
(FL)
Provided a victory is achieved, the next FOTD will be posted soon, with
the usual omission of a guarantee of promptness. Until
whenever,
take care, and let's stop protesting about a thousand minor injustices
and organize a protest against the greatest injustice of all -- human
mortality.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Polite_Breakdown { ; time=0:02:40.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ceil passes=1
center-mag=-0.6252176735794789/+0.053871922630012\
61/8.4635e+013/1/-175/0 params=3.14159265358979/0\
/3.14159265358979/0 float=y maxiter=2000 inside=0
logmap=310 periodicity=6 mathtolerance=0.05/1
colors=000mc0jc0gc0dc0ac0Zc0Wc0Tc0Qc0Nc3Kc4Hc4Ec5B\
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QzzRzzTzzVzzXzzYzzXzzWzzVzzUzbTzcSzdRzeQzePzfOzgNz\
hNzhMzgLzfLzfKzeJzeJzdIzd }
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=========================================