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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had one of those days Saturday where I just couldn't find a worthwhile fractal no matter how far I looked. I finally settled for the image that appears as today's FOTD, but even though it appears as an FOTD, I could honestly rate it no better than a 4. The image takes us on a trip to the Zexpi fractal, which is what I named the fractal with an exponent of Z equal to PI. We check the fractal as it appears 4 levels up the logarithmic ladder, where it resembles a comical little clown with his head facing southwest. Today's scene is located on the sole of the clown's left foot. The only thing not totally ordinary about the image is the fact that a good part of it consists of 'inside' stuff made visible by the 'fmod' inside fill. I named the image "Zexpi Minibrot", which is simply its description. The calculation time of just under 3 minutes stretches to around 14 minutes on the 200mhz machine -- hardly a bargain. But relief is waiting on the FOTD web site at: A cold, cloudy day threateneing rain or snow made no one happy here at Fractal Central on Saturday. The fractal cats spent the day on their shelf by the window, bravely enduring the unpleasant conditions. My day was average -- enough said. The next FOTD will appear in 24 hours. Until then, take care, and how many Mandelbrot sets exist at this moment? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Zexpi_Minibrot { ; time=0:02:40.43-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=floor logmap=yes
center-mag=+0.17206725258491350/+0.675860279367873\
30/33541.71/1/-57.5/-1.49841909713e-010 inside=fmod
params=3.14159265358979/0/4/0 float=y maxiter=1800
proximity=0.09 periodicity=10
colors=000000000000000000000000000000000000deYbhYa\
kY`mYg8Gj9DlABoB9qC7sD5rC7qC9pBAoBCnAEmAFl9Hl9Ik9K\
j8Mi8Nh7PC6Ff6Se6Ue6VM2WL3UK3SJ4QI4PH5NG5LF6KE6ID7\
GC7EB8DA8B9998987CI6FS6Ia5Lk5Ot7Rq8Ur9XsAlkBriCxgF\
rbHmYJhTLbONYJPTER_tTSDVSDA_tYSC_SCaSBA_tAbuAevefI\
enMeuPgrOioOklOmjOogOqdOrbOrYKrTGrPCrK8rF4rB0pD3oE\
5nG7mH9kJBjKDiMFhNIgPKeQMdSOcTQbVSaWU`TV_QV_OWZLXZ\
IXYFYYDYbIXgMWlRVqVVo`PmfKklFirAhx5fu7er8co9blA`iB\
_fDYcEX`FVYGUVHSSJRPKPMLDOFGMIJJLMHOPFQTDTWBWZ8Za6\
ad4dg2gj0ie4ha7hXAhTDgOGgKJgGMgILeJLcKKaLK`NJZOJXP\
IWQIUSHSTHRUGPVGNXFMYFKZEI_EHaIJcMKePLgTNiWOk_PmcR\
ofSqjTrmUpkRniPlgNkeLicJgaHe_EdYCbWA`U8ZS6YR4kKLyE\
`qzTmvUirVeoWakWZhXVdYRaYNYZKV_GR_CO`8Ka5Ha6F`7E`8\
D`9B`AA`B9`C7`D6`E5`F3`G2`H1`H0`K4aN7bQAbTDcWGdZJd\
aMedPecQgbRhaSiaTj`Uk_Vl_VmZWnYXoYYpXZqW_rW_sR`mNa\
hJbbFcYBdS7eNTOCgEMv4Wt7X }
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.
