May 6, 2012: The Birth of Light | May 4 | May 7 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
For
today I see we
have a fractal that earns a splendid 9. Hopefully, we're
beginning a spell of high-quality images that will bring awe and wonder
to even the mildly interested fans of the wonders of fractals.
Today's parent fractal came about when I subtracted 0.525 parts of
Z^(-1.32) from 0.75 parts of Z^(1.23) then added straight C on each
iteration. This combination produces a fractal that resembles
a
twisted Mandelbrot set with its main bud on the southwest side of the
oversized main bay, and the northeast shore line of the main bay
seriously eroded. Today's scene lies on the zigzagging spike
extending south from the main bud.
To add a bit of zest to the image I rendered it with the outside set to
'real', which eliminates the boring flatness that spoils the normal
'iter' version.
The name "The Birth of Light" sounds rather mystical and is fully
appropriate for an image made of numbers. The calculation
time of
1-3/4 minutes should cause little impatience.
Today brought morning clouds and afternoon sun to Fractal
Central. The temperature of 72F 22C must have satisfied the
fractal cats, who slept the entire afternoon.
There was no FOTD on Saturday, May 5, because FL and I took the day off
to visit an antique emporium in State College, a city about 60 miles or
100km west of here, where the Penn State child abuse scandal recently
broke. At least while we were there, one would never guess
there
had ever been a scandal however. Today, we simply took it
easy. The next FOTD will appear soon. Until that
vague time
arrives, take care, and be alert for the forces of evil.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
The_Birth_of_Light { ; time=0:01:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.1124714981231962/-1.120273183136637/\
5.93854e+011/1/-23.75/0 params=0.75/1.23/-0.525/\
-1.32/0/0/0/0 float=y maxiter=1600 inside=0
outside=real periodicity=6 mathtolerance=0.05/1
colors=000FLjGJkIHlKFlMDmNBnP9nR7oT5pS2tU3pW4mY5j_\
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hUihRmmb`rnOnlQkkRgjSdiUahVYfWVeXRdZOc_Lb`H`aE_cAZ\
d7Ye2Ze4Xf6Vg8Th9RhBPiDNj }
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=========================================