June 7, 2012: Cotangent Universe | June 5 | June 8 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
There
was no FOTD
for June 6. The reason is that I could not find a fractal
that I
considered satisfactory. I'm in a very critical period when
nothing, not even the old images, seems worth being declared FOTD.
In today's image I gave up on the usual formulas and returned to a very
old formula, the Mystic2. When rendered in the normal manner,
this formula creates nothing but empty circles of radius 1.
But
when the empty inside of the circles is rendered with an active inside
fill and different functions are applied, the resulting images defy
description. The name of today's image indicates that the
cotangent function was applied to it.
The parent fractal is an empty circle with its inside brought to life
by the bof60 inside fill. This entire parent resembles the
unorganized chaos of today's image.
I rated the image at a 6. The main drawback is the lack of an
overall theme. But the parent fractal is so unpredictable
that I
might return to it and search for an area with some kind of
theme. We'll see. The less-than-great coloring also
holds
down the rating.
The calculation time of 25 seconds will avoid impatience. The
FOTD web sites will avoid even stray thoughts of impatience.
Today turned out questionably here at Fractal Central, with a mix of
sun and clouds, and an afternoon shower. The high temperature
of
81F 27C was ideal however. The fractal cats spent the day
alternating between sleeping and wrecking their collapsible cat cube
complex, which appears to be more fun for them when it is half wrecked.
We humans had our enjoyment watching the cats wreck their cubes. The
next FOTD will be posted in 24 hours. Until then, take care,
and
may your side be victorious in the battle between right and wrong.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Cotangent_Universe { ; time=0:00:25.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=jim.frm float=y
formulaname=Mystic2 function=cotan passes=1
center-mag=0.589554/-0.275609/11.62791/1/90/0
params=-0.065/-5.122/6.003/-6.845/5.664/0.303
maxiter=300 inside=bof60 logmap=yes periodicity=6
colors=000zwzyxvxurwrmuohslfqifoffmchkaii_kgYleXnb\
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leSldTkbTk`TjZUjXUjWUYcHW`GVYFUVETTDSQDRNCQLBPIAOF\
9NC9MA8L77K46J26G9CEFICMO }
frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100 }
END PARAMETER FILE=========================================