March 20, 2011: It's All Circles | March 18 | March 22 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
The
scale of
minibrots lying very deep in the Mandelbrot set is incredible enough,
even awesome. At the scale of today’s image the
entire
M-set would be as large as the entire galaxy, if not many times
larger. It well might be as large as the entire visible
universe,
which is about 27,000,000,000 light years in circumference.
It is
large enough that the chance of today’s scene having ever
appeared on any screen is effectively zero. But with all this
awesome size behind the image, why does it rate only a 6?
The answer lies in the name of the image —
“It’s All
Circles”.
Just as the very high order Mandeloids tend to develop a boring
similarity, these super-deep minibrots tend to grow boringly
similar. As today’s image shows, they tend to
consist of
layer upon layer of concentric circles, with minor changes in the
circular decorations, but with an overall similarity that is striking
at first glance but soon grows boring. (Not all minibrots at
this
depth are boring circles however. There are exceptions, some
of
which I might post as future FOTD’s.)
Still, the fact that today’s circular image lies at a depth
of
2*(10^34) makes the effort of running the parameter file worthwhile.
The image is located in the basin of a larger minibrot in the basin of
a still larger minibrot in the basin of an even larger minibrot on a
filament extending inland from the northeast shore line of the large
minibrot on the main stem of the Mandelbrot set.
The calculation time of 19-2/3 minutes is surprisingly fast for such a
deep scene. And even this reasonable time may be saved by
viewing
the finished image on the FOTD web site at:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
The original FOTD web site is still available at:
http://www.Nahee.com/FOTD/
Friday here at Fractal central was summer-like, with lots of sun and a
temperature of 77F 25C. The new fractal cats, who have a much
less adventurous life than the old fractal cats had, spent Friday
watching for stray cats and worrying about their next meal.
Saturday dawned cloudy, but the clouds cleared away by midday, leading
to a pleasant afternoon with a high of 50F 10C. The next FOTD
will be posted in 48 hours, more or less. Until whenever,
take
care, and be with it, fractal pro.
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
It’s_All_Circles { ; time=0:19:42.06-SF5
on P4-2000
reset=2004 type=mandel passes=1
center-mag=-1.740745628752070677391923435253000819\
49/0.011627426705656461304987086921212283982/1.967\
708e+034/1/170/0 params=0/0 float=y maxiter=15000
bailout=25 inside=0 periodicity=6
colors=000fTdiPflLinIlqEosBqoEmlGjhIfeLcaN_ZPXVRUS\
UQOWNLYJH‘GEbCAd97f6FhBNiGVjKbkPjlTrmYznaxiaveauaa\
sYaqTapPanLalHakDalH‘lK_mOZmRYnVXnYWoaVodUogTpiRpj\
QplOqmNqoLqpKrrIrsHrtGnpFjlEfiEbeDZaCVZCRVBNRAJOAF\
K9BG88D8AFCCGFEHIGILIJOJKRLLUNMXPO‘RPcSQfURiWSlYTo\
_Ur‘VucZrebpgfnijlknjcZWWKHO53N9DMDMMHOLLQLPWKTbKX\
iJ‘hMamPcfUc‘ZcVcbPhbJkbDjaCi‘Bh_BgZAfYAeX9cW9aU8_\
S7UQ7QM6MI6KF5FA5A54000000O2ZqNopJkpFgpCcp8_p5WmCa\
jJfgQkdXpabuZcrWcpUcnRdkOdiMdgJdeGebEe‘BeZ9eX8fU8f\
S8fP8fN7gL7gI7gG7gEGjCPlBYo9fq8ot6xv5wr6vo6uk6th6s\
d6ra6qZ6pV7oS7nO7mL7lH7kE7kB7nKFqTMtaUwj‘zsgxtcwt_\
vtWutSttOrtKqtGptCzt8zt5zl2ze0zg3Zh5Wi8UkARlCOmFMo\
HJpKGqMErOReIcTDaRH_PLZNPXMTVKXUI‘SHcRFgPDkNCoMAsK\
8wJ7zM6wP6tS5qU5nX5k_4ha4fd4cg3‘j3Yl3Vo2Sr2Pt2Np1Q\
l1Sh1Vd1Xa3Z_5_Y6‘W8aTAcRBdPDeNFfLGgIIiGKjELkCNlAO\
m9Th8Yb7aY6fS5kM4pH3uB3y6 }
END PARAMETER FILE=========================================