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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is named "Minibrot", and that's all it is. After spending the entire afternoon clearing the winter debris from the yard, I had almost no time for a proper fractal search. So I took the first minibrot I could find in the Z^(1.75)+C Mandeloid as it appears 6 levels up the logarithmic ladder when the cosine function is applied, and declared it Fractal of the Day for April 13. The parent fractal is a distortion of the classic Mandelbrot set, with today's scene located in its Seahorse Valley area. With no effort involved in its creation, the image could not be given a rating. The calculation time of 4-3/4 minutes is within reason. But it is equally reasonable to completely avoid the effort of calculation and view the finished image on the FOTD web site at: Saturday was the best day so far this spring here at Fractal Central. A heavy thunder-shower around 5am cleared out the murk, and by 9am the day was sunny with a temperature of 68F 20C. Things got even better in the afternoon when it reached 73F 23F. The fractal cats watched from the back window with amusement as I started work in the yard. The next FOTD is due, and will likely appear, in 24 hours. Until then, take care, and don't waste energy on a heroic but futile effort to create true meaning in a meaningless universe. This is what born-again skeptics and Atheists do, and I have never yet seen one succeed. But above all else, think positive. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Minibrot { ; time=0:04:43.24-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=cos maxiter=7500
center-mag=-0.643729366910521/+0.3961159852470334/\
95347.75/1/97.5/0 float=y logmap=212 periodicity=10
params=1.75/0/6/0 inside=0 passes=1
colors=0002G83G94GA6GB7GC8FDAFEBFFCFGDFGKJKRMOYPSd\
TWkW_rZbo`alaajbagc`ed`be`_f`Yg_Vh_Ti_Qj_NkZLlZImZ\
GnZEfdDZiCSnBKsADxGLwMTvS`uYhtcpt`nsYlsVksTisQhsNf\
sLesKctJatI_tIYtHXtGVtFTtFRuEPuDOuCMuCKuBIuAGuAFu9\
Gr9Ho9Im9Jj9Kh9Le9Mb8M`8NY8OW8PT8QQ8RO8SL8SJ9RK9RL\
9RL9RM9QN9QN9QO9QP9QPUZKnfGmdImcKlbLlaNk`Pk_QjYSjX\
TiWViVXhUYhT_hS`fXad`acdbahb_mcZqcXudWydTzeRzePzeN\
zeLzeJzeHzeFzeDzeBzeEvcGrbIoaLk`Nh_PdZRaYUYWWUVYRU\
`NTbKSdGRfDQcPR``RZkR_jT_jU`jW`iX`iZai_ahabhbbhdbh\
e`ggZfhXeiWdjUckSclRbmPanN`oM_pK_qIZrHYsFXtDWuCWvD\
UvDSvDRvDPvDOvDMvEKvEJvEHvEGvEEvEDvIKoMRiPYcTdYXkS\
_rM`pOanPblQcjRdhSefTfdUgbVh`XiZYjXZkV_lT`mRanPboO\
c_WVKbM5iE5jG4kI4lK4mM4nO3oQ3pS3qU3rW2sY2t_2ua2vb3\
wa4xa5ya5za6z`7z`8z`8z`9z`Az_Bz_Bz_Cz_Dz_EzZEzZFzZ\
GzZGzZKz`NzaQzbTzcWzdZzeazfezghzhkzinzjqzktzlwzmtz\
oqzpozqlzrizsgzt2z81z70z7 }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
