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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's the day before election day as I write this, and FL is worried that her guy might lose. As for me, I have no guy, so I'm not very worried. The only thing I *am* waiting for is the end of the speeches, and while I'm waiting I'll take a little diversionary trip into fractal land. Today's FOTD image is notable for its . . . well it must be notable for something. I guess the mixture of zig-zag filaments and smooth areas makes it kind of notable. But I have seen and posted many similar scenes in the past. The image rates a relatively modest 6. A careful examination revealed little that might make it worth more. The name "Ultraviolet Sunrise" was inspired by something in the image that I have since forgotten. The calculation time of just under 4 minutes is my best estimate of the time the image would take to finish on the 2000mhz unit, which still will not start and I have yet to check. The parent fractal is a distorted Mandelbrot set with a gaping hole where its East Valley should be. Today's image is located in a small but curious bit of chaos at the tip of a zig-zag filament extending from a bud on the northwest shore line of the main bay. As always, the image is available for immediate gratification on the FOTD web site at: The Monday temperature of 57F 14C was mild enough here at Fractal Central. The persistent clouds spoiled the fractal cats' afternoon however. My day was a bit busier than usual, but nothing out of control. The next FOTD will appear in 24 hours. Until then, take care, and be of stout heart in the abstract sense only. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
UltravioletSunrise { ; time=0:03:57.80-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 maxiter=2600 periodicity=10
center-mag=-0.807745426104596/+0.6920600237179639/\
16070000/1/-90/0 passes=1 float=y inside=0
params=1/2
colors=000kQXlXZmc`njboqdmrbkrais`hs_fsZdtYbtXauW_\
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vHkqLhmPeiTceX`b`Y`dV_hSY }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
