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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Yes, I know that today's FOTD is late. As often happens in my convenience-type business, an unexpected job came in on Monday morning, which the customer needed the same evening. The job was small, and was indeed finished by evening, but this left little time for fractals. Despite the rush, I did find one fractal with a bit of interest. It appears as today's FOTD. The image is a scene with a minibrot, in the parent fractal that results when negative portions of Z^(-1.6) and Z^(-4.7) are combined and (1/C) is added. I often use reciprocal C with fractals that contain negative exponents of Z. Such negative fractals are often inside-out. Reciprocal C turns these fractals inside-out again, which makes them rightside-out and easier to examine. I enhanced today's image by calculating it with the 'outside' set to 'tdis', but it is impossible to make much of little, so with little to start with, I could rate the result no greater than an average 5. I named the image "Minibrot in Bloom" for no particular reason. It is only fair that a merely average image be a fast one, and with its render time of only 3 minutes, today's image is fast enough. The only faster way of viewing the less-than-glorious scene is to take a virtual trip to the FOTD web site at: A morning with drifting patches of fog gave way to a sunny warm afternoon with a temperature of 70F 21C here at New Fractal Central on Monday. The fractal cats glanced out the window a few times, but spent most of the day waiting by the hole for the mouse to come out and play. They must play too rough, for the mouse never appeared. Their disappointment was eased in the evening by a generous treat of tuna and cheese. My day was unusually busy, but it looks like things will now be normal for a week or two. Unless I am wrong, which I sometimes am, the next FOTD will appear in around 15 hours. Until then, take care, and walk in this world with puzzlement and enjoyment. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Minibrot_in_Bloom { ; time=0:03:05.92--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip inside=0
center-mag=-0.84928080821253190/-1.706583784520602\
00/1.211013e+008/1/122.5/-5.73023364377339695e-005
params=-1/-1.6/-0.5/-4.7/0/0 float=y maxiter=1000
outside=tdis periodicity=10
colors=000oVCoTBoQAoO9oM8oK7oI7jNCeRH`WMW_R7A8TkXN\
kWKiZIhaGgcDffBeh9ck6bn4ap2`s0_u2Zt4Zs6Zr7Zq9ZpBZo\
CZnEZmGZlIZkJZjLZiNZhOZhPajQclRenSgoTiqUksVmtWovXq\
xXsyYnwYjvYftYbsYZrYUpYQoYMnYIlYEkYAjXCkWDlVFmUGnT\
HnSJoRKpQMqPNqOOrNQsMRtMStKRrJRqIQoHQnGQmFPkEPjDPi\
COgBOfAOe9Nc8Nb7Na6J`6F_6BZ67Y63X60X72V84U86T98RAA\
QACPBEOCGMCILDKKEMJEOHFQGGSFGTEISDKRCMRBNQAPQ9RP8S\
P7VS8XV8ZY9``9cbAeeAghBikBkmBijAgg9fd9da8cZ8aW7_T6\
ZQ6XN5WK5UH4TF4ONBKVIFbPBiWBgYBfZBe`BcaBbbBadB_eBZ\
fBYhBWiBVkBUlBSmBRoBQpBPqMOnWNkfMhpMeqNcrNasN_sNYt\
NXuNVuNTvNRwNPxNOxNMyNKzNIzNHuQGqSKuUOhWEcYD__CVaC\
RcBMeAIgADi99k85m89kEDiJHgOLeTPcYTacX_h`YmdWrhUwX`\
qLgkAnfGrbAd9EcDIbGLaJP`MT`QW_T_ZWcYZfXajXenWhqVku\
UnxUqrRhlO`fMS`JKVGBQE3SF5UG7VG8XHAZIB_IDaJEcKGdKI\
fLJhMLiMMkNOlNPlLQlJRlHSlFSlETlCUlAUl8Vl6Wl5WPQQ1i\
KmjJngIneHncGnaFnZEnXDzWS }
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.
