June 20, 2013: In Search of Reality | June 19 | June 21 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is evaporated, which means that all the 'outside' stuff,
from which the points eventually will escape, has vanished and been
replaced by a screen consisting of totally 'inside' stuff, from which
no points will ever escape. This bit of mayhem is a result of
the
ridiculous bailout radius of 10^100, better known as one-googol, which
has been set by the imag(p3) parameter.
A flat screenfull of all-inside stuff can be quite boring, but the
active inside fills can often bring these 'dead' images to
life.
In today's image the 'bof61' fill does the job.
The formula behind the madness subtracts 2.72 parts of Z^(-2.7) from
8.5 parts of Z^(-1.6) then adds (1/C) on each iteration. This
creates a parent fractal with X-axis symmetry, which resembles a
Mandelbrot set rotated 180 degrees with its west end facing east and
its normal east end replaced by a large open bay. A kind of
double crescent moon lies in this open area, and today's scene lies in
one of these crescents.
The name "In Search of Reality" does not refer to one of the current
crop of contrived 'reality' TV shows. It refers to the
questionable reality of things like fractals, sub-atomic particles, and
of course ghosts.
The calculation time of 2-3/4 minutes is slow enough to make the
calculation a bother. But the web sites can bring a miracle
cure.
The weather was near perfect here at Fractal Central today, with a
temperature of 82F 28C and a Photoshop-blue sky decorated with the kind
of clouds that have faces in them. The fractal cat slept all
afternoon while the humans went on a short trip in the surrounding
countryside.
The next FOTD will be posted before too long, most likely within 24
hours. Until then, take care, and skeptics know that truly
paranormal things such as ghosts are all in the mind. At the
same
time, some people have already experienced the paranormal.
But
it's a trick of their minds, and they must be shown their
understandable mistakes. To hear scientific claims that make
ghosts and hauntings seem like everyday normality, they should talk
with a cosmologist or a physicist.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
InSearch_OfReality { ; time=0:02:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+0.49734043483/+0.60763443273/197902/1/\
-60/0 params=8.5/-1.6/-2.72/-2.7/0/1e+100/0/0
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EhaFgaGfaHeaIdaJcaKcaLbaM }
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=========================================