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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I'm back . . . on schedule of course, and all is well. The great and not so great fractals keep coming. In fact I can't shut them off. Today's image was created by taking just plain Z and mixing in the tiniest bit of Z^(-99) before adding C. The parent fractal resembles a bulls-eye ready to be eclipsed by a flat disk. The actual fractal image for today is located near the center of the bulls-eye, and near the eclipsing disk. As has so often been the case recently, I gave the image neither name nor rating. These are subjective things, and I gave them too little effort to assign meaningful names or numbers to them. But the render time is quite objective. It is a bit over 17 minutes on my worn out old machine, which BTW might soon be put out to pasture and replaced by a faster unit. Seventeen minutes is more than 1/3,000,000 of a person's entire lifetime, so to save the lives of fractal fans, the completed image has been posted to the FOTD web site at: The coldest weather of the season moved into Fractal Central over the weekend, keeping the fractal cats well confined. The Sunday temperature of +8F -12C was far too chilly for delicate cats, and even for most hardy people. The not-so-dynamic duo spent most of their time watching the birds huddled around the chimney pot of the house next door, trying to steal a bit of heat. With so much work to be done, I had no trouble keeping busy. The next FOTD will appear in 24 hours -- unless something unexpected arises, that is. Until then, take care, and things will be better, but no one knows when. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_21-02-06 { ; time=0:17:08.21--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.00643755004756566/+0.012614483291117\
52/747629/1/45/6.3380860282347129e-010 logmap=46
params=1/1/0.001/-99/0/0 float=y maxiter=1500
inside=0 periodicity=10
colors=000PX0PS0PP0PK0PK0PK0PK0PK0PK0PK4PKCPPKPUUP\
bbPgjKmuKuzPzzZzzhzzrzzzzmzzmzwmzmmz_czPUzCKr2Aj0C\
b0Cw02z00z00z00z00zA0zP0ze0zw2zz4zz7zz0zz0zz0zz0zz\
0uz0rz0pz0mz0jz0gz0eu0br0_m0Xg0Ue0Sj0Pm0Pr0Nu0Kz0K\
z0Iz0Fz0Fz0Iz0Kw0Kr0Nj0Ne0PX0PS0SK0SF0g0Uw0zu0zr0z\
r0zp0zp0zm0zm0zj0zg0zg0ze0ze0zb0zb0z_0z_0zP0zF7p4I\
b0PP0_C0g00r00z00w00w00w00u00u20u70uC0rI0rN0rS0rX0\
pb0pg0pm0pp0rj0rg0ub0u_0uU0wS0wN0wK0zF0zC2z74z44z0\
7z0Az0Az0Xr0re0zU0zI0z70z40z20z00z00z00z00z00z00z0\
0z00z72zICzPPz__zgjzrwzzzzzzzzzzzzzzzzrzzjuz_jzSbz\
KUzCNz2Cz04z00z00z00z00z04z0Fz0Sz4bzAmwFzrNzpSzj_z\
eezbjzSrzKzzCzz4zwzzzzzzzzz7z02z00m00U40CC00K00S00\
X00S07P0SN0pI0zF0zC4r7NF4e02m0Iu0Uz7ezIrzSzzbzzmzz\
wzzzzzzzzzzzwzzuzrpugmjXjXKgKAeC0_20X00U00S00P00S0\
0U00X00_00b00e00g00j40mA0pF0rI0pA0p40p00p00p00p00p\
02p07p0Ap0Cp0Cp0Cm0Cm0Cm0 }
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 PARAMETER FILE=========================================
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times.
