January 19, 2012: Mystery Theater | Jan. 18 | Jan. 20 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
fractal image is a scene on the main spike of its parent fractal, which
is an over-sized Mandelbrot set corrupted by order-7
elements. The scene is located just beyond the large minibrot
on the main spike, at a magnitude where the minibrots have totally
morphed into order-7 ones with 6 bays. These tiny order-7
minibrots are clearly visible, scattered all around the large central
minibrot.
But in the world of fractals, things do not always go as we expect, and
today's image is certainly a good example. I named the image
"Mystery Theater" because of the mysterious things happening in it.
To begin, the large minibrot has 12 bays, which would make it of
order-13, a prime number that exists nowhere in the generating
expression. To make things worse, the minibrot is surrounded
by 14 elements, which would appear to make it of order-14.
My first thought was that the large minibrot is actually a partial
merging of two order-7 minibrots. Sometimes this does
happen. But if this is the case, the merging in today's image
is the most perfect I have yet stumbled upon.
With no obvious rational explanation for all the mathematical
craziness, the image remains a mystery. All in all, the image
fully earns its name.
The rating of an 8 is based mostly on the mathematical interest, though
the artistic value is not to be ignored.
The calculation time of 24 seconds is about as fast as FOTD fractals
ever get, and will not test the patience of even the most impatient
fractalist.
The brilliant sun that burst forth at sunrise today here at Fractal
Central did not last long. By midday, the clouds had moved
in, and by afternoon, snow was threatening. The fractal cats
were more concerned about the chilly morning temperature of 16F -9C
than with the forecast of light snow. They demanded more
warmth.
FL and I, the local humans, had an uneventful day, which was pleasant
to experience but makes dull reporting. The next FOTD will be
posted in 24 hours. Until then, take care, and as I see it,
religion is the greatest cause of conflict ever invented by
humanity. Even today, its conflicting claims continue to
infest our species with hatred. But if we were to eliminate
it, what would we replace it with? Materialistic science
could never fill the emptiness, nor does it wish to. And when
we look behind the mask of Atheism, which claims to be somehow
different from religion, we find just
another set of undemonstrable beliefs (in this case, disbeliefs) about
God and heaven, none of which are likely to bring peace of mind to a
world troubled by the
failure of traditional religion.
Jim (neither a believer nor disbeliever) Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Mystery_Theater { ; time=0:00:24.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MultiExp function=recip
center-mag=-35.73697608855773/0/21270/0.9541
params=7/20 float=y maxiter=1750 inside=0 logmap=62
symmetry=xaxis periodicity=6
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`zzZzzXzzVzzTzzRzzPzzOzzMzzKzzIzzGzzEzzCzzNzzMzzMz\
zLzzLzzKzzKzzJzzJzzIzzIzz }
frm:MultiExp { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }
END PARAMETER FILE=========================================