|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: When today's parameters are entered into the MandelbrotMix4 formula, the default screen shows a vaguely Mandel-shaped fractal covered with scattered debris, which appears to hold little promise. But an outzoom shows another Mandeloid lurking off the screen to the northeast of the first -- this one far better defined and with far better promise. Today's scene lies in the southwest suburbs of a larger midget in an inland feature of the East Valley area of this second Mandeloid. The unusually large magnitude of today's scene required me to edit the mathtolerance entry into the parameter file to assure that the image renders correctly. Because of the near riot of colors run wild, I named today's image "Mandelbrot Funhouse". I could just as well rated it a 7 as a 6, but being somewhat conservative, I decided on a 6-1/2. The 27-minute render time can be bypassed by waiting for the GIF image to be posted to one of the FOTD web sites and downloading it from there. Paul's site can be found at: The fractal weather today was near perfect, with full sun and a temperature of 66F 19C. Only a slightly chilly breeze kept it from being absolutely perfect. One would think that near perfection would please the fractal cats, but the dynamic duo are perfectionists, who demand perfection. They complained again about the shade of the holly trees. Well, I've got work to do and philosophical things to ponder -- all this of course in addition to finding tomorrow's fractal. So while I attend to other things, take care, have fun, and keep hoping for that philofractal philosophy. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MandelbrotFunhouse { ; time=0:26:59.93--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.24902998073652100/+5.099551501650197\
00/2.099791e+012/1.0002/-88.4366823960011601/-0.01\
37164318769713856 params=3.33/-1.3/3.33/-3.2/0/300
float=y maxiter=2400 inside=0 mathtolerance=/1
colors=000dUKq3Wj9XdFXYKXSQXLWYF`Y8fYvDcv9frWQorA0\
8h_dmYbnWanV`oT_oRZpQYpOXqNWqSegWoZamZflZkjZpiZuhZ\
OIOSKSVMVYOY`Q`cScfUfiWilYlYZnJ_o4_pHR`UIMe97d8Ac8\
Db8Gb8Ja8M`8P`8RZDOXILVMITRFRWCP_ALW8IS7EP5BL47I24\
E11B08NFFYUMhhTswWmqYgk`bebX_dRUgMOiGIkBDl9Gl8Il7K\
m5Nm4Pm3Rl2Ol2Ml2Jk1Hk1Ek1Ck1Ah5Df8FdBHbFK`IMZLOlW\
IzfDh`9SV5BP2wflVs6Tl9SeCRZFQSIPLLOEON7RM1TQ8XUF_Y\
MbaSeeZiielmloqrrrqespUtoIuo6qm9nkCkjEghHdfKaeMRbC\
G`2VUe_QddMchIbmEaqA`v6_z2ZoAWdHUUPSKWQ_`NndKlfKjg\
KiiKgjKekKdmKbnKaoKdnHgmFilDllBnk9qj7sj5kkNdkcYktV\
fpSblPZhMVdJR`GNXDJTBFQIMPOTOU_N_fMemLktKqzJ64Z1CE\
19K16Q13W78QDDKIHEOM8TQ2QU3NY4L`5Id6Gg7MjGSlOYnXcp\
dirmotuoiko_aoQSoGJkNIhTHe_GbeF_kFZlPYlZXYhXJqX5zN\
GdDRJJWKO`KTdLYiLbmLelPhlSklWnkZqkbtkewkhuddsYaqRZ\
oLVmESk7Pi1Mf5Ld9KaCJ_GIXKHVNHXMMZLQ`KUaJYcIbeHfgG\
jhGnlIooJojRfeZY`fPWnGRu8
}
frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
