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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Every once in a while one must vent a little frustration. In my e-mailbox this morning I found at least a dozen letters telling me how to get a bigger pole, or a heavier or longer or bulkier pole, etc. Why would anyone want to sell me a new pole? I don't need a bigger pole. The pole standing in the corner of the fractal yard has been faithfully supporting the wires for at least 40 years. It is 10 meters tall, 30 cm thick, and still in perfect condition. The market for poles must be very limited. Those spammers should wise up and try to sell a product that people actually want. The fractal for today is far less confusing. It is a scene in the fractal that results when 8.3 parts of Z^(-3.8) are subtracted from 9.8 parts of Z^(-1.5) and (1/C) is added. To complicate things, the fractal has been evaporated and rendered with the 'bof61' inside fill. Fractal evaporation is achieved by raising the escape radius of fractals with negative exponents of Z to a value large enough so that all points are trapped. I named the image "Into the Crucible". With its clashing colors that are almost painful to look at, it reminds me of looking down into a crucible of molten steel. The rating of a 7 seems appropriate -- at least by my fractal standards. Those with different standards may rate the image differently. Combined with the reasonable render time of 3-1/2 minutes, the image has an overall value of 200. Those who prefer their fractals ready-to-go may pick up the finished GIF image from Paul's web site at: It was warmer here at Fractal Central on Sunday, and the sun was shining most of the day, but the temperature of 28F -2C was warmer only by comparison to the day before, and the fractal cats compared the temperature to a day in midsummer. They decided to remain indoors all afternoon, thinking of what might have been. Today is starting even warmer -- it's actually above freezing. But it is cloudy. We shall see what the duo makes of this. And I must decide what to make of the work on the shelf beside me. Most likely, I'll work on it until it is finished. And when it is finished, I will enter fractal-land to see what has happened since last I ventured there. Whatever I find will appear as the FOTD for tomorrow. Until then, take care, and remember the children. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Into_the_Crucible { ; time=0:03:31.41--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.93333741621415410/-1.559243860808650\
00/3009538/1/-117.5/7.47725191418274759e-006
params=9.8/-1.5/-8.3/-3.8/0/1e+100 float=y
maxiter=1200 inside=bof61 periodicity=10
colors=000mHKiLIePHaTGj0uU`EIn2QcDXTOdIZj4hu0jlCjm\
FknJloNmoQmbLUQGA000OH7RI9UIAWIBZID`IEcIFfIHhJIkMJ\
mPLpSMsVNuYPx`QzcRwIPuHNrGMpFKmEJkDHhCGfBEcACa9BZ8\
9X78U66S55U79V8DWAGXBKYDNZER_GVaHYbJacKddMheNlfPog\
QshRvjQskQqlQnmPlnPipPgqPdrObsO_tOYvOVwNTxNQyNOzNM\
xRNwVOuZPtbQrfRqjSonTnrUmuUirXepZan`YlbUieQggMeiIc\
kEUiALg7Cf7dBAgGCiLFlQHnV8xeJpZUiSdbLoWEzP7nUHcYRO\
NMTa_YtpXplXmiWjeWfbVcZV`WVYTYZ_`_ec`kfaqaNZX9H_GM\
aMQdSUfYYhcakiemoioumlrcipVfmLckCXa0`i3dq6hy8evCbt\
F_rIYpLchTha_e_ZbYZ_WYYUYVSXSQXPOWNMWcJitGwrFqpEkn\
EemD_kDUiCOkBAhCJfCScC`aCi_CqZBpYBoXAnXAmWAlV9kU9j\
U9jXSn_iqZekYaeYZ_XVUjDTXSO8`LJeKVq0TiKRacQUvSXrU_\
nVakXdg9gnYfdRbfKZh4CwEWiRo_OnWLnTImQGmNDmJAlG7lDb\
Rc5lABkCGjEMiFRhHXgIafKm8TffLeeIdeFdeCce9be6be3Z_A\
VVHRQONLVJFaFAhB5o70v68o5Gh1I`4Nb7RdAVfDZhGbjJflMj\
nJvwOnpTgjY`cOThbUYzbUqUO }
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==================================
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