February 13, 2011: Halfway to Infinity | Feb. 12 | Feb. 14 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image lies "Halfway to Infinity" in the same parent fractal
that held the images of the past two days. I'm not sure where
halfway to infinity might be located, since infinity has no limit and
half of infinity must therefore have no limit also.
The image lies on the brink of evaporation. A tiny increase
in
the imag(p3) parameter, which sets the bailout radius, will send the
image over the brink, totally changing its character. A huge
increase to one-googol or so will result in a totally evaporated image,
which must be made visible by setting the inside to an active fill such
as 'bof61'.
The rating of a 6 is fair enough. I might have raised it to a
7
or so if I had not been overtaken by an attack of laziness, and had
done more work on the color palette.
The calculation time of 1-1/2 minutes is very near FOTD
average.
This brief wait may be avoided by viewing the finished image on the
active FOTD web site at:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
the original FOTD web site, not up to date, may be accessed at:
http://www.Nahee.com/FOTD/
Morning clouds were followed by afternoon sun here at Fractal Central
on Saturday. The temperature reached a high of 37F +3C, but a
stiff wind from the northwest kept things feeling quite
winter-like. The fractal cats spent most of their time in the
sun.
My day was about average. The next FOTD will be posted in 24
hours. Until then, take care, and when technological
immortality
arrives in a half century or so, will it be for everyone or only for
those who can afford to pay the sure-to-be-outrageous price?
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
Halfway_ToInfinity { ; time=0:01:31.06-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+2.767698435760548/+0.04501133247478548\
/9.565617e+008/1/-110/0 params=-1.1/-11/-11/-1.1/0\
/6454426000.0/0/0 float=y maxiter=1500 inside=0
colors=000hDgdFZ_HRWJIRLANN2KJ1HG1ED1BA0870540210D\
B0NL0YV0gd0qn0lk8hhGdeO`bWX_cTXkPUrOWlOYgN_aNaXMcR\
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GAMC5J8FM7OP6YS5fV4pY3z_3vb6td8rfBzhDnjGllIndNoYRp\
QVqJZrN`sRbtVdtZfubhvfjvjllgpcesUcwLazKdtJfoIijIke\
Hn`GpWGrRLmTPiUUdWY`XaXYfS_jO`nKaznAT`xKdlCg`4jQK3\
WF`PKAZPSOOCR_INLJCEseQ5Zt4AM8Jm7IBGMfAQbZU_DYWFaP\
HhTGeM5NZE`L9JeDWK7MkCRO5SmRTM8NnhQL5MnYTL6UnNWS4X\
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HOPLmzPSYUzzbPbSczzWRFmzJPaMMfQJkTqchdhcSl_8w_GpWN\
iSVbPaWLd27fEDhPIj`Ov2frIanXXnnXkkThiQfgNceK`bHZ`E\
WZBaqCX3kVISST3TV6UX8VYAW_DXaFzzCYfFYbHYYKXUMXPPXL\
RWEUXHTXJSYLRHa4UKVWMSmBo }
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=========================================