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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to an excess amount of real work, the fun work of fractals was cut short on Wednesday. But I did find time to delve into the parent fractal that results when the formula Z^(1.875)+C is calculated 36 levels up the logarithmic ladder with the 'floor' function in effect. This parent fractal resembles a Mandelbrot set that has been put through a wringer. Its most interesting feature is a much smaller distorted Mandelbrot set just to the east of the main set. Today's image is located in the East Valley area of this mini-M-set, which curiously lies on the mini's west side. There is not much more to be said about the image, though there is much to be seen when viewing it. I named the image "Eastern Lights" because it's on the eastern side of its parent, and rated it at a 7 because that's what I think it's worth. The calculation time of a nominal 2-1/2 minutes may be avoided by viewing the finished fractal on the FOTD web site at: With added haze, higher humidity and a temperature of 88F 31C, Wednesday was a comedown from the previous day here at Fractal Central. The fractal-cat duo showed their displeasure by camping most of the day under the cool-air vent. My day was busier than I would have preferred. With any luck at all however, tomorrow, when the next FOTD will be posted, will be an improvement. Until then, take care, and speak softly with nature. I hear that, at its smallest scale, it may well be a fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Eastern_Lights { ; time=0:02:27.61-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=floor logmap=175
center-mag=+0.786337062833908/+0.5106500816556531/\
70165.7/1/40/0 passes=1 maxiter=2400 periodicity=10
params=1.875/0/36/0 float=y inside=0
colors=000AAwAAtAApAAlAAhAAdAA`AAX8AU7AQ57M43N55L6\
7M78Q8AP8BR9DTAEUBGVCHWCJYDK_EIbFNbGPcGJgHLcIMbJKa\
JI`KG_LEZMCYMAXKCVJETIGRHHPGJOELMDMKCOIBQGARFCTHDV\
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`LIYNJVQLTSMQUONWQLYRI`TFbUDdWAfX8hZAi`CibEjcGjeIj\
gKkhMkjOllQlmSloUmqWmrYmp_jo`gnbdmcakeZjfWihThiRfj\
OelLdmIcoFapC`r9_s6Zt4asAcsFfrKhrPjrUmqZoscquhtwmv\
xrxzwrzvmzvgzubzuXzuzztzztzztzzlzzezzYzzRzzJzzCzz4\
zz1zz2zz6zzAzzFzzJzzNzzKzzH_zEWzBSz9QzBPzCNzEMzFKz\
HJzIHzKGzLEzMDzOBzPAzR8zS }
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.
