Sept. 27, 2012: Strange Count | Sept. 26 | Sept. 28 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image gives
a glimpse into the disorder that results when a Mandelbrot set is
seriously corrupted by negative Z^(6.5) energies. Today's
parent
M-set is barely recognizable as an M-set. It still has the
tiny
bud on the X-axis at the eastern edge of the main bay however, and
today's image lies deep on a filament associated with this bud.
Perhaps the most striking thing in the image is the lack of visible
discontinuities, which certainly do exist but are concealed by both the
coloring and underlying fractal forms.
The name "Strange Count" does not refer to a certain well-known
vampire. It refers to the 13 orangish shafts radiating from
the
central minibrot. The number 13 is not too surprising, since
13
equals (6.5)x(2). Curiously, the northeast shaft, unlike the
other 12 shafts, is disconnected from the minibrot.
The central minibrot itself is surprising also. Being of
order
6.5, this minibrot should have 5.5 lobes and main buds, but at least at
today's reasonable distance, it appears to have a full 6 buds and only
5 lobes. The distant appearance is deceiving
however. A
closer look shows that the northeast lobe, which is larger than the
other four, is actually 1-1/2 lobes, making a total of 5.5, and the 2
buds attached to it are only 3/4 buds, making a total of 5.5
buds. So it all adds up, and all is once again right in
fractal
land.
The rating of a 7 is dead average, held down a bit by the
coloring. The image, as are all FOTD images, is worth a quick
look however, especially with a calculation time of only 40
seconds. The image will seem more enjoyable when viewed on
one of
the web sites without the need to calculate it.
The day began with light rain here at Fractal Central, but the rain
soon ended, and by midday the sun broke through, leading to a partly
cloudy afternoon with a temperature of 70F 21C. The fractal
cats
passed the day taking it easy. FL spent the day at a nearby
fair,
while I remained at FC, seeing that nothing important went
undone. The next FOTD will be posted in the proper
time.
Until whenever, take care, and if high technology were to become our
god, I guess I would be an Athiest.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Strange_Count { ;
time=0:00:40.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip logmap=46
center-mag=+0.617165311719468/+0.00000000001321963\
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passes=1 inside=0 periodicity=6 mathtolerance=.05/1
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`bz_`zZ_zYYzXXzWVzVUzUSzT }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================