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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Another busy day means another hasty fractal and short discussion. One of these days I'll cut down on the outside work so that I have more time to devote to fractals, but that time has not yet come. Today's image lies in the Z^1.75+C Mandeloid, which, at the -44.5 level of the infinite logarithmic spiral, appears as a central mis-shapen bay with two large distorted buds. The image of the day is located in a fern-like feature on the shore of the western bud. I named the picture "Halfway There" because the midget is only halfway surrounded by its pattern. The upper half of the pattern seems to have been swallowed up in the discontinuities. It's not that great an image, and rates a mediocre 4. The best feature is perhaps the render time, which is under 2 minutes on most machines. About the same amount of time will be required to go online and download the GIF image file from: The fractal weather today was absolutely perfect -- blue skies with fluffy white clouds, light winds, warm sun, and a temperature of 66F 19C. The local snow-lovers are beginning to ask where winter is, but the fractal cats were ecstatic. I'll be ecstatic when I finish the pile of work that's waiting to be done. Until next time, take care, and be true to your fractals if you want them to be true to you. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Halfway_There { ; time=0:02:02.43--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.55118197607336360/-1.173134423206903\
00/12973.46/1/-82.5/-6.89031540157536426e-011
params=1.75/0/-44.5/0 float=y
maxiter=3600 inside=0 logmap=47
colors=000VANXALZAJ`AIbAGdAEeACe9BcFF_KJVPNRUQMZUI\
cYDha9mdIlhRkl_kohjsriwxizsdwn_rfWk_RfUMaOIXHDSB8N\
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wahrTcnKjiBreApcAob9na9l_8kZ8jY7hW7gV6fU6eTY`MxWGu\
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IXQHVVFU_ESdDQiCOnBNsDOpFPmHPjIQgKQdMRbOS_PSXRTUTT\
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zkwznyzqzztxzuvzutzvrzvpzvnzwmzwkzwizxgzxezxczyazy\
`zySzvJztBzrGzoLzlPzjUzgYzdbzbfz_kzXozVtzSxzQ4zO7z\
S9zWBzZEzbGzeIziKzlNzpPzs
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(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 20.0 PAR-FORMULA FILE==================================
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