Sept. 16, 2013: Mystical Minibrot | Sept. 15 | Sept. 17 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image of a fancy minibrot lies in the parent fractal that
results when 4 parts of straight Z, 3 parts of Z^2, 2 parts of Z^3, and
1 part of Z^4 are mixed together before C is added on each
iteration. This combination has a convenient critical value of
-1, which produces a parent fractal of a basic classic Mandelbrot set
surrounded by a field of disconnected dots, with each dot containing an
entire fractal universe.
Today's image lies in a string in a dot near the tip of the main spike
of the parent M-set. Its artistic worth of 9 is mostly due to my
extra work. The math rating of a 7 is about FOTD average.
The name "Mystical Minibrot" might be an exaggeration, but then again,
maybe not. After all, every fractal is kind of mystical, since we
never know the details of what they might hold until we actually go
there and look.
Today's image calculates in a speedy one minute, leaving ample time for
any tasks that might be more pressing and need to be done.
The day began with a brief shower here at Fractal Central. When
the shower ended the clouds remained however, and the rest of the day
was cloudy with a temperature of 70F 21C and only a few brief bursts of
sun. The fractal cat, now nearing senior cat status, slept
through most of the non-excitement, while the fractal humans watched
the news of the latest shooting.
The next FOTD will definitely be posted within a reasonable time.
Its rating is yet to be determined. Until the fractal appears,
take care, and we must pass some laws to end these outrageous
shootings. Let's pass a law prohibiting the anger that causes a
shooter go out and kill innocent people to avenge a perceived wrong
that was done to him.
Jim (both left and right) Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Mystical_Minibrot { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotMix3a function=ident passes=1
center-mag=+0.44089178013265180/+0.000008999523773\
35/2.5e+012/1/-158.25/0 params=4/1/3/2/2/3/1/4/-1/0
float=y maxiter=750 inside=0 logmap=54
periodicity=6 mathtolerance=0.05/1
colors=00000D00H00K00P00W00_00c00g00l00p00z08z0Fz0\
Lz0Sz0Uz5WzAYzF_zKazPczUezUhzUkzUnzUqzUtzfwzpzzzzz\
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80N20W00a00g00m00t00z00z00x00q00i00c00Y04P2AJ6GECL\
6GU0J_0Pe0Uk0Yq0_o0ao0co4eoEgoNioYkogggicai_UkWNkS\
GmPAmL2mH0oE0oA0q60q40q40o40m20m20k0ao2am4ak8aiAae\
EacG_aJ__L_YP_US_SW_PYYNaYLcYJgYGiYEmYCoYAtW8vW4zW\
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_zvazvezxgzxkzzmzzqzztzzxzzzzzzzztzzmzzgzzazzWzzPz\
xHzvCzv6zt0zq0zo0zo0z_0zC0z00z00z00z02z0Cz0Lz0Wz0e\
z0ozmzzmmzmczmUzmJzkAzz0zvEzzSzzezztzzzzzzzzzzzzzz\
vzzzzzzzzzzzzzzzzzzzzzzzz }
frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }
END PARAMETER FILE=========================================