December 15, 2011: Chaotic Delight | Dec. 14 | Dec. 16 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image rates
an 8, with a full point of the rating being earned by the turquoise and
peach coloring scheme, which is one of my favorites. The
actual
parent fractal was created by combining 5 negative parts of Z^(-1.05)
with 0.75 negative parts of Z^(-7.5) then adding (1/C) on each
iteration.
This parent is an immense thing that requires several outzooms before
all of it fits onto the screen. It consists of a sprawling
mixture of roughly circular bays and less-circular open areas that
converge on individual points. Today's image is located near
one
of these points of convergence.
The tiny object at the center of the image is a minibrot, though due to
the many holes that it is surrounded by, its nature is almost beyond
recognition.
The name "Chaotic Delight" might be given to almost any
fractal.
Why I gave it to today's image in particular will remain forever a
mystery.
The calculation time of 2-1/4 minutes will pass in a flash, and when
the image flashes onto the screen, those who have calculated it will
see that the brief time spent was a bargain.
Clouds obscured the sun here at Fractal Central today, while the
temperature of 50F 10C and raw wind kept it feeling just chilly enough
for a topcoat. The constant threat of rain produced only a
few
light sprinkles. The fractal cats, who always wear their
topcoats, had no complaints about the temperature, though they would
have preferred some sunlight.
I spent the day doing routine things, which make no story worth writing
about. FL remarked that we actually sold four books last
month. Maybe I'll write a book about fractals, science and
philosophy, and actually sell a few. But until fame is
achieved,
I'll continue searching for fractals. Fractals are as
oxymoronic
as holes. The more stuff that is taken from a hole, the
larger
the hole becomes; the more fractals we find, the more fractals there
are to be found. And the next fractal will be posted in 24
hours. Until then, take care, and with so many cameras
around,
why has no one yet taken a convincing photograph of an alien space
craft? (Could it be that they are not here?)
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
Chaotic_Delight { ; time=0:02:15.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+610.1210161892034/-1179.946699427824/\
631/1/-95/0 params=-5/-1.05/-0.75/-7.5/0/0/0/0
maxiter=960 inside=0 logmap=187 periodicity=0
colors=000BDYAGV9IS9KO8ML7OI7QFESJKTNRURXWTXWVWWYW\
W`WWcPWdIVeDVhCVeCXgBWdBYfBXdAZeAYcA_e9Zb9`d4Y`7ac\
9_bCbcE`cHbeJbeMceOcfRdgTdgVehYfi_fibgjehkghkjillj\
mojmqknqlovkpulotmntnmsolrqksrmrqjqphpmeokcniamgZm\
fXldUkbSj`QiZNhZLhWJiXKiXLjXMjYMjYNkYOkZOlZPlZQl_Q\
m_Rm_Sn`Sn`Tn`UoaUoaVoaWpbWpbXqbYqcYqcZrc_rd_sd`sd\
aseatebtecwgdufctecsdcqccpbboabm`bl_bk_biZahYagXae\
WadV`cU`aT``S`_S`YR_XQ_WP_UO_TNZSMZQLZPKZQJ_PKZOKZ\
NLZMLZMMZLMZKNZJNZJOZIOZHPZGPZGQYFQYERYDRYDSYCSYBT\
YATYAUY9UY8VY7VY5UZ7VY8VX9VWBVVCVUDVTEVTGVSHVRIVQK\
VPLVOMVONVNPVMQVLRVKTVJUVJVVIWVHYVGZVF_VE`VEaUGaUI\
bUKbUMcUOcUQcUSdUUdUWeUYeU_fUafUcfUegUghUiiUkjUmkV\
olUnmUnnUnoUnpTmqTmrTmsTmtSluSlvSzwSzxRzyRzzczzczz\
czzczzczzczzczzczzczzczzczzczzczzczzezzczzdzzfzzhz\
zhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzh\
zzhzzhzzhzzhzzhzzhzzhzzhz }
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=========================================