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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's nervous-looking image came to life when I combined 5 negative parts of Z^(-1.5) with 1 negative part of Z^(-7.7) and added (1/C) to generate a parent fractal that resembles a mis-shapen rabbit-snowman with two undersized ears, staring at a fairly normal Mandelbrot set some distance to the east. Today's image is located in the center of the most prominent valley, which separates the rabbit-snowman's thorax from his abdomen. I named the image "Hope Springs Eternal", though I have no idea what I might have been hoping for when I thought of the name. I rated the image at a slightly-above-average 6. It took little effort to convince myself that it actually was at least a little above the FOTD average. The calculation time of 1 minute is on the fast P2000 unit. On the workhorse P200 machine it would take between 4 and 5 minutes to finish. Of course, the calculation time is of no consequence if the fully-calculated image is viewed on the FOTD web site at: A near perfect day graced Fractal Central on Tuesday, with lots of sun and a temperature of 75F 24C. The fractal cats enjoyed the weather by spending as much time as possible in the sunniest windows. My day was moderately busy, as most days are. And tomorrow will probably be the same. The next FOTD, a better one I hope, will appear at this same internet spot in 24 hours. Until then, take care, and be faithful to your fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
HopeSpringsEternal { ; time=0:01:08.81-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
center-mag=+0.49695135167365110/+0.011152854814175\
17/2.193735e+009/1/-96/-0.00020346097735753077
params=-5/-1.5/-1/-7.7/0/0/0/0 float=y maxiter=1500
logmap=124 periodicity=10
colors=000RMdZ8PPKbTEVQHYNK`KNcOL`RKYVJVYIS`HPdGMg\
FJjEGnDDqCAtB8tDDtEHtF`tHPtITtJctLXtMetNitOWqPfnQ_\
lRTiSMgTFdU8bU1_R3XO4UM5RJ7OH8LE9ICBF9CD7DCBGCEIBI\
K000BPOASQ000KZUUaWceYmh_rlawoczsezvgzyiwvgmtecqdU\
obKl`Kj_NgYPeWRbVT`TVYRXWQZZO_aNadLbhJdkHenFgqDhtC\
fuFeuHcvKbvM`wP_wRYxUXxWVyZUy`SzcRzeSseTleTeeUZeUS\
eVLeVFeXAbY5`Z0ZP0jF0vgvubepZPlV8hRDeNIcJNaGR_CWY8\
`W5dU8fSBgREhQHiOKjNNkMQmKTnJWoIZpGaqFdrEgsDbtGYuJ\
TuMOvPJwREwU9xX4y_0yaGYcV7eW8gX8iY9kZ9l_An`ApaBrbB\
scCudCwdCxaGsZKoWOjTSfQWbN_YKcUHgQEkLBoH9rD8nE8kF8\
hG7eG7bH7ZI6WJ6TJ6QK5NL5JM5GM4DN4AO47O8rhEjlJcpMao\
O`nR_nTZmVYmYWl_VkbUkdTjfSjeQhePfeQdeRbhS`mT_rUYvV\
WzWUzXSzYQzZPz_UzaYzdbzgfzjkzmozrjzvezz`zz_zz_zz_z\
z_zz_zz_zzZzzZzzZzzZzzZzzZzzZzz_zz_zz_zz_zz_zz_zz_\
zz`zz`zz`zz`zz`zz`zz`zz`zz8zzIzzRzz_zzhzzizzjzzkzz\
3zz6zz9zzCzzFzzIzzKzzIzzG }
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.
