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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is based on a formula that plays a game with the golden ratio. I calculated the formula Z^(1.618)+C at a level 32 turns up the logarithmic ladder, and got a parent fractal that somewhat resembles a Mister Potato-Head. There's not much more to be said about the near-shapeless blob. But this blob has a good bit of debris scattered around its west side, and this debris holds midgets, one of which appears as the featured element in today's image. Once again, my limited time permitted only a short trip to Fractal Land, so I could not name or rate today's image. But I will say that it is a bit more interesting than the usual images found in the Mandeloids of an order between 1 and 2. The render time of a brief 2-2/3 minutes will try the patience of no one, and it makes the task of running the included parameter file almost a breeze. An even swifter way to see the image is to go to the FOTD web site at: A cloudless sky and a temperature of 55F 13C made conditions near perfect here at Fractal Central on Thursday. The fractal cats must have agreed, for they somehow managed to get through the entire day without getting into trouble. With me, the rush is near its end, and more relaxing days are in sight. With more time to devote to them, the fractals will be improving in the near future. (This is assuming they are not already perfect.) Regardless of the perfection or lack thereof, the next FOTD will appear here in 24 hours. Until then, take care, and seek sublimeness in your fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Mar_30_07 { ; time=0:02:41.05--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 periodicity=10 logmap=106
center-mag=-0.35953404841607610/-0.056778379676581\
14/5.911021e+007/1/-65/1.55103769647335632e-007
params=1.618/0/32/0 inside=0 float=y maxiter=1500
colors=000DT9GiDJdHN_LQVPTQSZUYcYciaineosiuqnv_X`R\
QRHKH8E7BJAENCHREJVGL`NNeTPk_RpeWma`kYdhUifQncMraJ\
aaZLamGRaBHQCMMDQJEUGFYDGb9Hf6Ij3In0OhAUcK_YUeTceV\
adW_dYYd_WdaTdbRddPdfNdgLf`FhV9iP4cO9YODSOHMOMGOQA\
OUG`YMmaRyeYvadsYjqUkoVlmWmlXnjYohZogZpe_qc`rbas`b\
tZctYcoOfjEif4leCfdJacRXbYSadN`eM_eLZfLYfKXgJWgJVh\
IUhHTiHSiGSiGRhKRgORgRRfVReZReaQb_P`ZOZXNXWMVULTTL\
QRKOQJMOIKNHILGGKGEJOBLW9Mb7Oj5Pr3Ry1SxBexKsrAasCc\
sEesFgtHitIktKmtLopJnlImhGleFkaDjYCjUAiR9hN7gJ6fG5\
fC5Z85S45K05D4AI8EMCJQFNVJSZNWbQ_fTYhWWiZUkaSldRmg\
PojNpmLrpJssItpMrnPplSnjVlhYkf`iddgbge`jdZmbXp`VsZ\
TvYRuVPtTOsRMrOKqMJqKHpIFoFEnDCmBBm9CjFChKDeQDcVDa\
_EZeEXjEVoRQgbM`nITzEMvGNsIOoKPlLQiNRePSbQT_SUWUVT\
WWQXXMZYJ`ZGa_H`aH_cIZdIZfJYhJXiKXkKWlKVnLVpLUqMTs\
MTuNSvNRxNRyTQqYQibQagPUlPMqPFkQIeQK_QMUQPOQRIQTCQ\
W6QY1Q_3O`5MaUgFNkBGo89s5 }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100, p=real(p2)+PI
q=2*PI*floor(p/(2*PI)), r=real(p2)-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.
