Nov. 22, 2013: A Passing Minibrot | Nov. 21 | Nov. 24 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image lies in one of the two East Valleys of the parent fractal
that is generated when the expression Z^(1.85)+C is iterated 0.5094505
levels up the complex hyperladder. The level is set to such a
critical value because at this particular level the parent appears to
have X-axis symmetry. The appearance of symmetry is false
however. It exists only on the surface.
The art value of the image, with its overbearing minibrot, rates only a
6, and the math rates only an average 5. All is not lost
however,
for the minibrot is surrounded by smaller detached minibrots just
waiting to be explored. I will check some of these smaller
minibrots in the next few FOTD's.
The name "A Passing Minibrot" refers to the way I found the
minibrot. At first I passed right by it, but then I returned
to
have a second look. After a few minutes I saw enough there to
make it today's FOTD.
The calculation time of 2-1/4 minutes will pass fast enough, though it
may still be a bit too slow for such a mediocre image.
Mediocrity
can be avoided however by checking the FOTD web sites.
Thick clouds and occasional light showers held spirits to a low level
here at Fractal Central. The temperature of 50F 10C was mild
enough, but was wasted by the clouds. The fractal cats seemed
cranky this afternoon, possibly due to the weather. The
humans
had a very average Friday.
The next FOTD will be posted in two days, on November 24.
Until
then, take care, and pay no attention to those who say we are becoming
too dependent on technology and are even becoming addicted to
it.
Even higher technology will solve all our problems and put the doomsday
prophets in their proper places.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
A_Passing_Minibrot { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=+0.2005901796/+0.1279569602/21526.13/1/\
27.5/0 params=1.85/0/0.5094505/0 float=y
maxiter=6400 inside=0 logmap=84 periodicity=6
colors=000LIWKMVJRTIVSH_QGcPFgNElMDpKCtJBoIAkIAgI9\
cH8ZH8VH7RG6NG6IF5ED4AC46B36E36H26K26N16M16Q06U06Y\
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aiedmhgpkiqhfqfcrc`raZr_WsXTsVQtSOtQLdqHhnDll9pj5s\
h2tc5t_8tVBuRDuMGuIJuELfRHScDEp9Bh69`37U0DQ9JMIOIQ\
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4qc7oc9ncBlcEkcGicIgcLfcNdcPccSamU_mWZmZXm`WnbYoYZ\
pT`qParKbsGetEguCivBkw9nx8py6qz5rz3sz2tz5uzUvzUwzU\
xzUyzczzczzczzczzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================