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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image shows a virtual tree I stumbled upon in the fractal that results when 0.5 part of Z^(-4.5) is subtracted from 5 parts of Z^(-1.4) and (1/C) is added. The parent fractal resembles a Mandelbrot set that is rotated about 180 degrees and located a bit too close to the bailout radius. Today's image is found on the southwest shoreline of the main bay, which is on the west side of the parent fractal. The resemblance to a tree in winter, with the branches covered in ice, is so striking that no other name but "Bare Tree" would be satisfactory. All in all, the image is worth a rating of a lofty 8, at least in my opinion. One of the best features of the image is its super speed. The calculation finishes in a matter of 34 seconds even on my slow old 200mhz machine. And the image is or soon will be posted on the FOTD web site at: Friday began with light rain here at Fractal Central. By 9am the rain ended, leading to a mostly cloudy day with a temperature of 46F 8C. For some reason the fractal cats seemed annoyed most of the day, and spent a good part of the time sulking. Their good spirits didn't return until they had finished their evening treats. My day was totally uneventful. What more could one ask for? The next FOTD will appear in 24 hours. Until then, take care, and don't get haunted by the spirit of a lost fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Bare_Tree { ; time=0:00:34.00--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip float=y
center-mag=-2.88099/-0.760467/31.83/1/65/3.435e-013
params=5/-1.4/0.5/-4.5/0/0 maxiter=128
colors=000_ez0EP0EP0EP0EP0EP0EP0000EP0000CP0000CP1\
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gzxgzzjzzjzzjzzmzzmzzpzzpzzpzzrzzrzzrzzuzzuzzuYz0_\
z1_z1bz1bz4ez4ez4gz6gz6jz6jz9mz9mz9pzCpzCpzCrzErzE\
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0j_0jY0gU0gU0eS0bP0bM0_M0_K0YH0YH0UE0SC0SC0P90P60M\
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mKSjHPjEPgCMe9Kb9H_6EY4CU1CS09P06M04K010z00x00u00r\
00p00m00j00e00b00_00Y00U0 periodicity=10 }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
