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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's hasty fractal was created by the formula 2Z^(-2.1)-2Z^(-1.9)+(1/C). I named it "A Ghostly Spectre" when I noticed that the seahorse-like detail surrounding the midget is clearly visible only when certain broad color palettes are applied to the image. With a narrow color scheme such as F2, the detail vanishes and the image becomes a featureless screen full of fractal sand. The location of today's image is in an elephant trunk in the East Valley area of a larger midget, which is resting in a chaotic part of the parent fractal. I rated the image at a 4. This is all I could give to a fractal that I found and colored with so little effort. With a running time of exactly 15 minutes, the parameter file might not be the best way of viewing the image, which will be available for download and viewing in an hour or so at: One of these days when things settle down, I'm going to gain convenient access to ABPF, and resume posting the images there. But so far I haven't had the chance to recover from the move of Fractal Central auxiliary. With sunny skies and a temperature of 68F (20C), the fractal weather today was so good that I took the day off. When I returned, the cats scolded me for not being there to let them out to enjoy the fine weather. To soothe them, I gave them a treat of tuna and promised to do better next time. And speaking of next time, it will come in about 13 hours. Until then, take care, and watch out for those fractal ghosts. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Ghostly_Spectre { ; time=0:15:00.01--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.584484530091595/+1.150509782717139/7\
774320/1/132.5 params=1/-2.1/-1/-1.9/1/300 float=y
maxiter=1800 inside=0 logmap=205 periodicity=10
colors=000i_zg_zg_zfYzfYzdYzdYzbWzbWzbWzaWzaVz_Vz_\
VzYVzYTzXTzXTzSRzVTzVTzXTzXVzXVzYVzYVz_Wz_Wz_WzaWz\
aYzbYzbYzbYzd_zd_zf_zf_zf`zg`zg`zi`zibzibzkbzkbzlc\
zlczlczncznfznfzpfzphzqhzqhzqhzsizsizuizuizukzwkzw\
kzxkzxnzxnzznzzozzpzzpzzqzzqzzszztzztzztzzwzzwzzwz\
zxzzyzzzzzzzzzzzzzzxzzxzzvzzuzztzzszzpzzpzzpzzpzzn\
zxnzxnzwnxumwumwsmusmsqksqkqpjpshsqfqpdpnbplank`ni\
_lgZlfYkdXkbWiaVi_UgYTgXSfVRfSQdRPbPObONaMMaKL_JK_\
JJYHIYFHXEGXCFVAEV8DS7CS6BR4AP29P18O07O07M07M07K07\
K07J07J07H07H07F07H07F07F07F07F07E07E07E05E07C07C0\
7C07C17C47A68A68A7BA8B8AD8CE8EE8FF7FF7HC7JE7KE7MG6\
OG6PH6RK6RL4SO4VQ4XR4YU1_V1aY1b_1b`1db0fb0gc0if0kf\
0lh0lh0ni0pk0qk0sm0um0wn0xp0xp0zr0zr0zs0zu0zu0zw0z\
w0zx0zx0zx0zx0zx0zx0zx0zz0zz1zz1zz4zz4zz6zz6zz7zz7\
zz8zz8zzAzzAzzAzzAzzAzzAzzAzzAzzAzzAzzAzzAzzAzzAzz\
AzzAzzAzzAzzAzzAzzAzzAzzA
}
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.
