June 13, 2012: Brother of Shadows | June 12 | June 14 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Those
who checked
the parent fractal of yesterday's image, which I said resembles
'pac-man', might have been surprised when they found an everyday
Mandelbrot set instead. But do not despair. The
pac-man
figure really exists. It is the large minibrot on the main
stem
of the full Mandelbrot-set parent.
As for today's image, it is another scene in a Mandelbrot set corrupted
in its depths by Z^(3.5) energies, though in today's case the
corruption is deeper and better hidden.
The scene of today's action is very deep in the East Valley of the
parent fractal, at a magnitude of over 6*(10^13). At this
magnitude we are at the absolute extremity of resolution, and the first
traces of breakdown are already beginning to appear along the band
edges, which makes the mathtolerance entry in the parameter file
necessary.
The elements surrounding the central minibrot, which is of order 3.5,
are arranged in a doubling 3.5...7...14... series, though except for
the very prominent 7 spirals, the orderliness is quite subtle.
The necessary discontinuities are also unusually subtle, since they are
mixed with Z^2 energies. The only obvious one is in the upper
right quadrant of the image.
The name "Brother of Shadows" sounds more important than it
is.
The words popped into my head when I shut off my thinking.
The
calculation time of 3-1/2 minutes could lead to some impatience, so if
impatience rears its head, check the FOTD web sites.
Yesterday's rain moved out overnight here at Fractal Central, leading
to a sunny and breezy day with a temperature of 72F 22C and a
kodachrome blue sky decorated with cotton-puff clouds. The
fractal cats, who approved of the conditions, came out of hot-weather
stretch-out mode and entered cold-weather curl-up mode.
The humans, who are always in the same mode regardless of the
temperature, made it through the day uneventfully. The next
FOTD
will be posted in a measurable time. Until then, take care,
and
to make a real change, try something different.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Brother_of_Shadows { ; time=0:03:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip logmap=375
center-mag=+0.2732104661940538/-0.0057831395457811\
/6.84471e+013/1/-64.5/0 params=3.5/3500/0/0 float=y
maxiter=1800 inside=0 mathtolerance=0.05/1
colors=000Q0CP0BO0BN0AM09L08K07J06I06I05K14M23O32Q\
42S65U87WA9YCB_EDaGFcIHeKJgLLiMNkNPlORmPTnQVoRXpSZ\
qT`rUbsVdtWfuXhvYjwZlx_nvaotcoseoqgopionkommokoojq\
ohsoguoewodxoevmftlfrkgqjhoihmhilfijejhdkgckeblcal\
b`jb_hb_gbZebZdbYbbYabX_bXZbWXbWWbVUbVSbURbUPbTObT\
MbSLbSJbRIbRGbQFbQDbPCbPB`QB_QBZRBYRBXSAWSAVTAUTAT\
TASU9RU9QV9OV9NW9MW8LX8KX8JX8IY8HY7GZ7FZ7E_7D_7C_A\
BZCBYEBXGBWJBVLBUNBTPBSSARUAQWAPYAO`ANbAMdALfAKeBL\
eCMeDNeEOeFPeGQeHReISeJTeKUeLVdMVdNWdOXdPYdQZdR_dS\
`dTadUbdVcdWddWdbXbaY``ZZ_ZYZ_WY`UW`SVaRUbPTbNScLR\
dKPdIOeGNfEMfDLhBKm9Jr8IvAIzCHzDHvFGrGGmIFmKFmLEmN\
EmODmQDmSCmTCmVBmWBmYAh_Ah`9hb9hc8de8dg7ch7bj6ak6`\
m6_n7Zl8Yj9Xh9WfAVdBVcBUaCV_DWYDcWEc_FccFchGhmHhrH\
hvImzJmzJmzKrzLrzLrzKvvJvrMvmPzhUzcZzZczUhzPmzKrzL\
vzMzzNzzOzzPzzQzzRzzSzzTzzUzzVzzUzzUzzUzzTzzTzzTzz\
TzzSzzSzzSzzSzzRzzRzzRzzQ }
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=========================================