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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to a lengthy letter to the Philofractal list, I am a bit late. Today's image has an intriguing name. I named it "Illusion" because the full pinwheel effect of the image, which rates a 7, does not appear until the screen is viewed from a distance. When seen up close, only a fancy spiral fills the screen, which if it were the entire image, would rate a 5. The formula working the magic is -3Z^(3)-15Z^(7)+C. This formula draws a distorted Mandeloid with a sausage-like protuberance on the southern shore. Today's FOTD is located in a small, spurious valley of this protuberance. At first glance, the valley looked most unpromising, but in the uncertain world of fractals, anything is possible, and when I checked a spiral, I found today's fancy midget. The parameter file renders in 20 minutes; the GIF image file downloads in one minute. The choice is up to the viewer. The GIF file of the image will soon be available at: The fractal weather today was perfect, and the cats took full advantage of the perfection. They spent the entire afternoon outdoors in the sunshine and temperature of 75F (24C). It's now 10:35am and work is backing up. See you soon with the next FOTD. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Illusion { ; time=0:20:35.66--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.216239661366119/-0.3872080491445197/\
2.74939e+008/1/-157.5 params=-3/3/-15/7/0/0 float=y
maxiter=2500 inside=0 logmap=386 periodicity=10
colors=000E9cG6cG2cG0cH0cH0bH0aJ0_J0YJ0WH0UG0SE0QC\
0OC0MB0NA0O70P62Q64T47U3BV2CW0GX0JY0NY0RY0UY0WY0Ua\
3Ub7SfBShESjJRnNRpSPtWPv_PydNzhNznKzrKzvKztEzt7yr3\
rr0lr0fp0ap0Wp0Rr0Pr0Pt0Nt0Nv2Kv6KyCJyHJzNHzUHz_Gz\
dGzlEzrEzyCzzCzzKzzSzz_zzhzzpzzyzzzzzzzztzzpztjznf\
zhazbYy_StUNrPJpJEnEBj96h43f00d00h30l70pE0rJ0vR0zW\
0zb0zh0zp0zv0zz0zz0zz0zz0zz0zz0zz0zy0zt2zr4zp9znCz\
l9zj7zh4zf3zd0zb0za0z_0zY0zW0zU0zS0zR0zP0zJ0zG0zC0\
zB0z70z40z20z00z00z00z00z00z00z00z00z03z0Kz9dz6bz4\
az3_z2_z0Yz0Wz0Uz0Uz0Sz0Rz0Rz0Pz0Nz0Kz0Ky0Jr0Hl0Hh\
0Jd0Ja0JY6JUCKRJKNSKJ_KGfKRh6jj0zj0zh0zf0zf0zd0zd0\
zb0zb0za0ta0j_0a_0SY0NY0JW0GW0EU0BU07S04S02R20R29W\
7JaCUdJdjPpnUjpWdrY_t_UvaPybJzbRlhYaldRrlGvt4zz0zz\
0zz0zz0zy0zn0vd0pW0jN3dE6_JEUPNSUUaYbjblthtznzzrzz\
fzzYzzPzzGzz6zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\
z0zz0zz0zz2zz3zzCzzCzzEzz
}
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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times.
