Fractal of the Day
by Jim Muth
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FOTD -- March 24, 2009 (Rating N.A.)
Fractal visionaries and enthusiasts:
I gave today's image no rating because it is not a new image. It is merely a slight modification of an FOTD image that I posted several years ago. I'll leave it to the curious to track down the original image. I occasionally re-use older images when I run into bad luck finding a worthy new one and time is running short.
I named the image "Stinging Jellyfish" when I remembered a day on the shore of Chesapeake Bay many years ago, when I leaped into the water and found myself in a bunch of "sea-nettles". Of course, this name has nothing to do with today's image, nor does it have any similarity to the name of the original image.
As for the parent fractal, the image is the parent fractal, a Julia set of the Z^(1.11)+C Mandeloid as it appears 111 levels up the logarithmic ladder.
With a calculation time of 1-1/4 minutes, the image is a fast one, bringing no grief to those who would rather do it themselves. Those spoiled by modern conveniences may see the image already finished on the FOTD web site at:where unimaginable happiness can be found.
The crystal blue skies and brilliant sun were diminished by an un-springlike temperature of 36F 2C here at Fractal Central on Monday, with a very un-springlike low of 14F -10C forecast for Monday night. Not bothered by technicalities, the fractal cats enjoyed the sun while it was shining on their window shelf. My day was about average. The next FOTD will be posted (by me) in 24 hours. Until then, take care, and believe the unbelievable. It just might be true.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Stinging_Jellyfish { ; time=0:01:14.62-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC passes=1 logmap=yes maxiter=256
params=1.11/0/111/0/-0.041/0.146/0/0 periodicity=10
center-mag=-0.120052/-0.119167/1.35/1/-87.5/0
float=y inside=bof60
colors=000edddcacbZaaW_`TY_QVZNSYKPXIMWHKVFIUDGTCE\
SACR9AQ78P6zzz00000000000000040M60O80R90T90W90YA0`\
A0cB4eB9hBDjCFmDGoEFrFFtGEwHImIHoJHpKGqKGrKGsKFuJF\
vHEwFEx4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgqzv0zt0zr0z\
pVznWzlYzjZzhUzgPzeKzcAza0z_0zY0zW0zU0zT0zR0zP0INr\
HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\
XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\
KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\
8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\
nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\
shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\
vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\
6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\
U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\
BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\
S`aWbf_dkcfpghukjzorh`ySM }
frm:JuliaBC { ; Formula by Andrew Coppin
e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
r=real(p2)-q, C=p3, Z=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < p4+100 }
END PARAMETER FILE=========================================
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