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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image reminds me of a spinning midget edged with flails. It's not an exact representation, but it's close enough to justify the name I gave the image -- "Flailing Minibrot". The scene lies near a hole in a valley of the fractal that results when the whimsical formula 12Z^(-1.2)+1.2Z(-12)+(1/C) is iterated with the escape radius set at 400. (Escape radii are very important when working with formulae that contain negative exponents of Z.) I feel that the image is worth the rating of 6 that I gave it, though if my FOTD's continue to rate above average, the FOTD quality that I consider worthy of an average rating will increase, and the ratings will correspondingly drop. The parameter file attached at the bottom of this letter will reproduce the image of the day in under 10 minutes. Or the image can be seen by downloading it from the W.W.Web at: The weather today (Friday) here at Fractal Central was even more summer-like than yesterday. The temperature reached 75F 24C, the skies were sunny, the winds were gentle, and the cats were happy. Being happy cats, they were well behaved all day for a change. Well, it's now Saturday morning and there's a bit of work to do. I'd also like to write a few words for the under-cared-for Philofractal list. So I'll end the FOTD now with the traditional 'take care and keep enjoying those fractals'. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Flailing_Minibrot { ; time=0:09:47.48--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.76177605658088100/-1.131756089534229\
00/1411253/1/37.5000000071471788/-1.36623868468577\
214e-009 params=12/-1.2/1.2/-12/0/300 float=y
maxiter=1800 inside=0 logmap=166
colors=000a04V00Q00L00E009004002002002002202602B42\
E82JD2NG2QJ2VO2_R2bX2g_2ib9lYElVJoROpOTrLYsGbuDiw9\
nw6sx2xv0zyKzyUzzczzmzzmzwcqtcisUaoURlKJhKBen2bw0_\
z0Xz0Uz2RzBOxJLsRInVFiYCda9_d6Vg3Qk0Rn0Tq0Vt0Xx0Yz\
0_z0_z0az0bz0dz0fz0gz0gz0dz1azLYzVVzgRznVzlYql_gkb\
didaigYgkTflQfpNdqJbtEbxBaz8_z4_zdNazB9zJ2sR0ts8tz\
Jaz9Iz00z00w41pI2iV4bg6Xt8Qz9JzEIzJGzOEzTEzYDtbBpg\
BkdGlbLnaOnYTpXXqVaqRdsQisOltLqwJtwIzxGzxDzzBzz8xz\
6xz4wz1tz0tz0sz0qz0qz0pz0nz0nz0gz6azEXzOQzXLxfEtp8\
qx2nz0kz0iz2azEVxONs_Glk9gt1az0Xz0zzYzzVzzTztQznOz\
gLz_JzTGzNEzEBz89z16z04z01z00w9B_bLEzVOzTYzRfzQpzO\
zzNzzLzzQzzVzz_zzbzzgzzlxzpwzttxztwzppzlkzifzdazaX\
zYRzVQzQRzNTzJVzGXzBYz8_z4az1bz8dzEfzLgqQiiXl_bpQi\
sGnw8Nzb0zz6zzIztTzpbzinzdzz_zzVzzazzgwzlqzslzzizz\
QzYLzXIzVEzVBzT8zR4zR1zQ0zO0zO0zN0zL0zL0zL0zL0zI0z\
G0zD0zB0z80z60z2qzGkzDfz8
}
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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