November 14, 2012: Julia Intrusion | Nov. 13 | Nov. 17 | 2012 | FOTD Home |
Fractal
visionaries
and enthusiasts:
The formula behind today's image takes 0.8 part of Z^(-5.8) and
subtracts 0.8 part of Z(-9.9) from it on each iteration before adding
(1/C). The resulting parent fractal is little more than a
mostly open ellipse with its longer axis in the vertical direction and
eight patches of debris arranged in a ring just inside the perimeter of
this ellipse. Today's scene is located in the debris along
the negative X-axis at the western edge of the open ellipse.
The name "Julia Intrusion" refers to the 'almost' Julia set at the
center. Such miniature Julia sets in Mandelbrot images
indicate that an unseen Mandelbrot set or minibrot lies hidden beneath
the surface detail of the image. The shape of the Julia set
corresponds to the part of the M-set over which it lies. A
bit of the underlying Mandelbrot set shows
through the surface Julia set as the bright bluish debris filling the
left half of the
J-set.
The rating of a 7 is based mostly on the coloring, which in turn was
created by the outside=tdis option.
The calculation time of one minute has been rounded for convenience,
but the parameter file will run in about this time on most SOTA (State
of the Art) computers. Those with machines that lack art
appreciation may view the image on one of the web sites.
After a few early morning clouds, the day passed with total sun and a
temperature of 46F +8C. The next FOTD will be posted in the
near future. Until whenever, take care, and ask questions.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Julia_Intrusion { ; time=0:08:00.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.89492913214/+0.01017421388/579726/1/\
-80/0 params=0.8/-5.8/-0.8/-9.9/0/0/0/0 float=y
maxiter=15000 inside=0 outside=tdis periodicity=6
colors=000QfNWcNa`OgYOmVPsSPyQPvONsMMpLLmJKjIJgGHd\
FGaDFZBEWADT8BQ7AN59K48H27E16J58N8ARBBVEDZHFbKGfNI\
jQKnTLoRJpPHpNFqLDrJBrH9sF7tD5tC4oG7jK9eNB`REWVGRY\
IcaKceNchPclRcoTclVciXcfYmnOmnPmnQmnQmnRmnSmoTmoTz\
oUzoVzoWzoWzpXzpYzpZzpZzp_zp`zqazqazqbzqczqdzqdFqe\
FrfErgErgDrhDriCrjCsjBskBslAsmAsm9sn9to8tp8tp7tq7t\
r6ts5ut6ts7tr7sq8sq8sp9roArnAqnBqmBqlCpkDpkDpjEoiE\
ohFnhGngGnfHmeHmeImdJlcJlbKkbKkaLk`Mj`Mj_NiZNiYOiY\
PhXPhWQhVQgVRgUSfTSfSTfSTeRUeQVePVdPWdOWcNXcMYcMYb\
LZbKehJbfK`dKZbKXaKV_KTYKRXKPVLNTLLRLJQLHOLFMLCKKD\
LLDLLDMMDMMDNNDNNDOODOODPPDPPDPQDQQDQRDRRDRSESSEST\
ETTETUEUUEUVEUVEVWEVWEWXEWXEXYEXYEYZEYZEYZFZ_FZ_F_\
`F_`F`aF`aFabFabFbcFbcFbdFcdFceFdeFdfGefGegGfgGfhG\
ghGgiGgiGhjGhjGikGikGjlGjlGkmGkmFmnGlmGlmGkmGkmHkm\
HjmHjmHjmHimIimIilIhlIhlIglJglJglJflJflKflKelKekKe\
kKdkLdkLckLckLckLbkMbkMbk }
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=========================================