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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To create today's image I took Z2, mixed in 2 parts of Z^(0.75), added straight C and let it rip. The resulting fractal is a Mandelbrot set that is cut off on the southeast side, but has lots of extra action in the northwest quadrant. This extra action involves many additional filaments and holes of various shapes and sizes. Today's scene is located near a larger but still tiny minibrot in an ambiguous valley of a large hole northwest of the main period-2 bud. I call the valley ambiguous because it appears to hold Seahorse as well as East Valley features. I named the image "East Horse Valley" to emphasize this ambiguity. When it came time to rate the scene I turned generous. The rating of a 7 seems a bit liberal, but why not reward myself for an acceptable image created on a bad workday. The calculation time of 5 minutes on a 2000mhz fireball is within reason. On a 200mhz snowball the scene takes close to 1/2 hour to complete -- still barely within the bounds of reason. The most reasonable way of all to see the fiery image however is to visit the FOTD web site at: A near perfect day here at Fractal Central on Monday went unnoticed by the fractal cats, who spent the better part of the day sulking at each other for something only they know about. My day was spent trying to straighten out a job that came in in a state of total confusion. (If a customer doesn't know what he wants, how am I supposed to give it to him?) It took mostly a few lucky guesses to get that job out of the way. The next FOTD will be posted in 24 hours. Until then, take care, and could the popular interest in fractals finally have run its course? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
East_Horse_Valley { ; time=0:04:56.66-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-1.47584661761365700/-0.074900264193136\
27/5.431817e+012/1/42.578105516759706/0.0023852665\
8395731006 inside=0 logmap=550 mathtolerance=0.05/1
params=1/2/2/0.75/0/0/0/0 maxiter=1550 symmetry=none
float=y periodicity=10
colors=020P1SQ3SR5SS9STBSUDTVGTWITXJTYLTZNT_PT`RTa\
STbTTbTRbXQb`VbgZbncbugbvkbwnbxrbys`ztYzuTzvQzwMzx\
HzyFzzDzzDzzDzzBzzBzzBzzAzzAzzAzz8zz8zz8zz8zz8vz8r\
z4tz2vz0xz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zx0zv0zr6tlD\
ngMjcTdY``VhZRqUKsUGsYDs_9sU5sR3sP2sL2sI2sF2sC2q92\
m62j32g22e22`22Z22Q22F2782KD2GJ2FO2DT2Bb29h27g95mD\
2qJ2sO2sU2s`2sd2sk2sp2sh2sc5sZDsUMsPVsKbsFlsAts5xj\
2lT6YBHK0S70d20n20l20l20j20j90hF0hM0fT6f_BdeHdmObt\
TbxZ`xe`xj`xoZxqXxsXrsVgsSYsSRsRGsP7sP2sN2sN2sH2sD\
2jA2`62T22M22B2S42S02S02S02S02S02S02S02S02S02S02S0\
6S0BS0HV0NW0SY0Z_0RD0J26Dp0Bp0Ap08p06p04p02p02p02p\
025022022F22g2Gs8Ws4Om2Gb2BT23J22A22022022OLYRJVVH\
RXFMXFKXDGXBDbBBmA7q83s82s62s42s42s22s22s22s22s2Fs\
2Is2Ms2Rs2Vs2Ys2bs4es6js8ms8rsCwsGysKzsOzqSzsWzs_y\
sczsczsczsczsczsczsczsczsczsczsczsczsczsczsczsczsc\
zsczsczsczsczsczsczsczscz }
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=========================================
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times.
