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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The expected rush job has arrived, so I will need to keep today's discussion brief. Today's scene is a slice of the Z^(2.000001)+C Julibrot, cut at an oblique angle through the East Valley of the large Midget on the Mandelbrot main stem. The tiny hole at the center is broken into two parts. In the Mandelbrot plane, the hole appears as a quadratic midget, with part of a second midget nearby, exactly as is the case with the hole at the center of today's scene.. In this area of the parent mandeloid fractal, the negative spike is infinitely divided, though much enlargement is necessary before this division becomes visible. Today's scene lies at the edge of the nest of spikes. I did not give the image a rating but I did give it a name. I named it "Momentary Diversion" because I found it almost in a moment. There was no surprise involved. I knew from the beginning that I would find this scene. The render time of just over 5 minutes may be dispensed with by going to the FOTD web site at: Things started slow but soon got busy here at New Fractal Central on Monday. With lots of sun and a temperature of 68F 20C, the weather was near perfect, but the fractal cats, who got too little attention to fill their needs, were too sulky to notice it. For me things were again hectic. I just managed to finish the FOTD. The next in the unending series of FOTD's is scheduled to appear in 24 hours or so. It might be a brief one, but I am reasonably sure that when the time comes it will be there. Until then, take care, and walk with the birds. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
MomentaryDiversion { ; time=0:05:00.17--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=SliceJulibrot4 passes=1 periodicity=10
center-mag=0/0/1.086732e+009/0.1086/85.99025357631\
41884/-82.3355502698509554 params=85/75/7/29/-1.74\
94980382806/4.62062404e-006/-1.7494980382806/4.620\
62404e-006/2.000001/0 float=y maxiter=1800 inside=0
logmap=188
colors=000QCTSEXVG`XHd_JhaLlcMpdPoeSofVngYnh`micmj\
fmkjllnlmrknvknykjpcfbWbUPZLHVC9S82V39X4FMQMCaT2h_\
7dZBaZFZZKVZOSZSPZXLY`IYdFYiBYm8Yq5Yp4Wo4Un4Tn4Rm4\
Pl4Ok4Mk4Kj4Ji4Hh4Fh4Ek6Km7Qo9WqA`sCfuDlwEqtCrrBro\
Arm9rk8rhAofCldDibFf`HcZI`XKYVMVTNSRPPPQNRRQSSSTTU\
UTWVUYWV_XVaYWcZXf_Xh`YjaZlbZnc_pd`re`td_rdZpcZncY\
lbYjbXhaWfaWd`Vb`VabS_dQZfOYhLXjJWkHViNSgSQeYNcbLb\
`Ka_KaYK`XK`VK_UK_SKZRKYQJYOJXNJXLJWKJWIJVHJVGJRHI\
NIHKJHGKGDLG9MF6MF8RKAVOCZTEcXGgaIkeKpjMtnOxrMwkKw\
dIwYGwREwKCwDBw7GsDKoJOlPThVXd``afYbgVbgTbhQbhObhM\
aiJ`kG`lD_mAZn7Yo5Yp6Xq6Wq6Wq7Vq7Vq7Uq7Uq8Tq8Tq8Sq\
8SqAUnBWlCYjDZgF`eGbcHc`IeZKgXLhUMjSNlQPmNQoLRqJSr\
HVsJXtLZuN`vPZwRYxTWyUVzWUzYSzZzz`zzbzzczzezzfzzbz\
zZzzVzzSzzOzzKzzGzzDzz9zz5zz2zz3zz3zz3zz3zz4zz4zz4\
zz4zz4zz4zz4zz4zz4zz4zz4zzFzzPzzZzzhzzrzzgzzXzzMzz\
PzzSzzVzzYzz`zzDzzHzzLzzP }
frm:SliceJulibrot4 {; draws most slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(p5)+c
|z| <= 9 }
END PARAMETER FILE=========================================
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times.
