|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's image shows one of those generally disappointing minibrots lying in the Mandeloids with exponents between 1 and 2. This one lies in the Z^(sqrt(3))+C as it appears 4 levels up the complex logarithmic ladder. Due to its modicum of organization, it squeaks by with a rating of 5-1/2, barely worth the honor of being declared a FOTD. At this not-very-lofty log level, the parent fractal resembles nothing more than a numeral 8 listing to starboard. Today's scene is located on the northern side of the west branch of the prominent valley dividing the main bay into the figure 8. Choosing the square-root of 3 as an exponent was done in jest. Significant numbers such as this apparently have no effect on the quality of the fractals they create. The name "Fortune Always Calls" has nothing whatever to do with the image, or with anything at all connected with fractals for that matter. It's simply a cute phrase, nothing more, nothing less. The calculation time of just over 1 minute is unexpectedly fast. But the trip to the FOTD web site at: A rather muggy day on Tuesday was interrupted by a shower of rain (what else?) in the afternoon, which knocked the temperature down from 86F 30C to 73F 23C. The fractal cats watched the 15-minute shower with disinterest. My day was busy but under control. Tomorrow, when the next FOTD will be posted, should be the same. Until then, take care, and isn't the thought of the perfect fractal heavenly. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FortuneAlwaysCalls { ; time=0:01:24.04-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=83
center-mag=-0.199082275456053/+0.1545238480953167/\
39000/1/-75/0 passes=1 maxiter=2000 periodicity=10
params=1.732/0/4/0 float=y inside=0
colors=0009KnBJjCIgDHdFHaGGZHFWJETKEQLDMNCJOBGPBDR\
AAS97T84U81SC3RF5PJ7OM9NQBLTDKXFJ_HHcJGfLFiNDkPCmR\
AoSFmVKkMPhOUeQZbSa_UcXWaVY`T_ZTaYWcXYeV`gUciUfkUi\
mUloUoqVqsXsuZtwauyctxesxhqxjpxlowonwqmwslwrkvrjvr\
ivrhurgurgurftretrdtrcsrcsrbsrarr`rr_rr_rq`nq`jp`f\
p`bo`_o`Wn`Sn`On`Ln`Ln`Km`Jm`Jm`Im`Il_Hl_Hl_Gk_Gk_\
Fk_FjZEjZDjZDiZCgY8iZCiZBhYBhYAhYAgY9gY9gY8zW5yX6y\
X6xX6xX6wX6wX6wX6vX6vX6uX6uX6uX6tX6tX6sX6sX7sX7rX7\
rX7qX7qX7qX7pX7pY7oY7oY7oY7nY7nY7mY7mY7mY8lY8lY8kY\
8kY8kY8jY8jY8iY8iY8iY8hY8hY8gY8gY8WgRXfPYeOZeN_dL_\
cK`cJabIbaGcaFc`Ed_De_BfZAgY98bb9aaAaaAa`Ba`Ba_Ca_\
CaZDaZDaZEbYEcYFdXFeXGfWGgWHhWHiVIjVIkUJlUJmTKnTKo\
SLpSLqSMrRMsRNtQNuQOvPOwPPxPPyOzzOzzNzzNzzMzzMzzLz\
zLzzLzzKzzKzzJzzJzzIzzIzzIzzHYzHYzGZzGZzF_zFJzmKzh\
MzdNz`OzWQzSRzNSzJUzFVzAWz6Xz2Vz6Uz9SzCRzFPzIOzLMz\
OLzRJzUIzXGz_FzbDzeCzhAzk }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
|
times.
