June 18, 2011: Harlequin Corner | June 17 | June 19 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
With
today's image
we return to the warhorse MandAutoCritInZ formula and one of the
near-infinite variety of fractals it creates.
The image came about when I combined 1.5 negative parts of Z^(-5.8)
with 3.6 negative parts of Z^(-1.6) and added (1/C) on each iteration
to produce one of those indescribable double-negative parent fractals
with multiple stacked bays and filaments terminating in
rings.
The image is located at the tip of a filament extending from a bud
along the shore line of one of the bays. The excessive colors
held the rating to a 7, but also inspired the name "Harlequin
Corner". The 'corner' part of the name is a meaningless
afterthought.
The color palette is a random one created with one casual strike of the
<enter> key. It needed no tweaking.
After all, how
can a random palette be tweaked to make it more random?
The image is a very fast one, finishing in a lightning-fast 43 seconds
on my P4-2000mhz unit. With the image being so fast, no one
should have a reason not to run the included parameter file and enjoy
the resulting happiness.
A mix of sun and clouds, with more clouds than sun, made Friday a day
that left room for improvement here at Fractal Central. The
temperature of 81F 27C was close to ideal however. The
fractal
cats had a typical cat day. They awoke at daybreak, meowed
for
their breakfast, meowed for their dinner, and meowed for their evening
treat. The humans, who sometimes feel like the cats'
servants,
had an otherwise uneventful day. The next FOTD will be posted
in
24 hours, without a guarantee of promptness of course. Until
then, take care, and go out to protest actively or stay home and
complain quietly. Regardless of what you do, nothing will
change.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Harlequin_Corner { ; time=0:00:43.11-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+0.183710624218/+1.343487367273/1426025\
/1/-107.5/0 params=-1.5/-5.8/-3.6/-1.6/0/0/0/0
maxiter=1700 inside=0 logmap=119 periodicity=0
colors=000JBT95EYi8HN4mMJxIDU96BcakZO_QIOHCC861Pe0\
KZ0GS0CL08E047b28T16J14902NtLIhGDYC9M84B4wu8euzLTV\
ZZWzUzQQOLLKHHG`ZC888mm4pQ_CIk69OzLIeECL76ZAFH57tQ\
2jL1aH1SD1J80940ywNnmJdcFVUBKK7AA3rEGR78l7Oc5KW4GO\
3CG28814UNbPJWKFQFBJAFV5366Oz4A_3Fd25I129haBaz5Um4\
M`3FP27C1vQEnMCgJA_G8TD7M95E63731Wy4Pl3J`2Cc16C0JL\
nX2QQ1KJ1FD0A605wifnb_eWUYQOPJIHDC866Czz9jj6VV3FFf\
VDLF60_G0SC0L90E6073Ou_IfRCTI6E93FO17C1kiMN8DL78E4\
hSKlXOpaSsfWwk_zpcsqblrbesbZtbSubMvbXDxQAk465J7_D5\
O62CqQ1fK0WF0LA0A50L6VE4K72AG5e82LnEKKTxGNkCH_8BO4\
5CH3UE2QC2MA1I81F61B4072034iE3bC2WA2Q81J61D40628aS\
ElxBcm9Wc7OU4GK28ATQIPMFLJDIGBED9Am67m43m26mo4mY2m\
HMmTEmJ7m9NmEFm97m4pmCmm8mm4mmXmzOmzGmz8mzYmzTmzOm\
zJmzEmz9mz4mzvmzjmzZmzNmzBmzzHzVTzsJz`9zIkzm_z`OzP\
CzCrzCgz9Xz7Mz4Bz2kzpezi_zbUzXOzQIzJCzD6z6UzlOzbIz\
TCzJ6z9Fz9Bz67z43z2bzuTzf }
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=========================================