Fractal of the Day
by Jim Muth

Ring of Acorns ©
Jim Muth's fractal image in GIF format (640x480).


Classic FOTD -- March 06, 2001   (Rating 6)

Fractal visionaries and enthusiasts:

Due to too much work, it's another short discussion.

The fractal formula: 0.99(1/Z)-0.99Z+(1/C), when calculated with a bailout radius of 110, draws a Mandeloid distorted almost to the point of being unrecognizable.   But hidden in this figure lie many pleasing scenes.   Today's image is but one of these scenes.   I named the picture "Ring of Acorns" when I saw in the tree outside the window, a squirrel with his nut.   I rated the picture a somewhat conservative 6.

The parameter file takes over 9 minutes to render on a Pentium 200mhz.   The best way to tell if the wait is worth the result is to download the file of the GIF image from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://home.swbell.net/sdboyd56/fotd/
giving Paul and Scott a chance to post the image.

The fractal weather today was cloudy and cold, with 1 cm of snow in the morning, accompanied by media weather people being made fun of as they tried to explain why we did not get the 75cm that some had foolishly predicted.   This little bit of snow, and the temperature of 35F (1.5C), kept the cats indoors.

The work on the new Fractal Central continues unabated.   Late this week we'll begin moving in our equipment.   But for now it's time to call it a day.   Until tomorrow, take care, and does the world of fractals have a god who can change the rules?


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Ring_of_Acorns     { ; time=0:09:25.34 -- SF5 on P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.17836323637819480/+0.266988784076264\
  00/1.262678e+007/1/-10 params=1/-1/-1/1/-0.01/10
  float=y maxiter=1200 inside=0
  logmap=135 periodicity=10
  colors=0001DA3ID3KF2LF1MG1OH0PHQj8Ph8Mf8Lc8Ia8H_8F\
  Y8cW8UK8AS87P85O83L82K8OW0QY0SY0UZ1VZ4W_8Z_D_aHaaL\
  bbPcbUecYhcbiefjejlfomfsofwrbus_ruWovUlwPiyMfzKewM\
  cvPbuSarV_pYZo_YlbWjeVifVhhYfhZehacibbieaif_jiZjjY\
  jlWloVlpUlsSmuQmwPmyOmzKhyHbyDYwBSw7Mw4Hv1Cv07v2Bw\
  4Fw7HyALyCPzFSzHWzK_zMbzPfzSjzVmzYrz_vzbyzezzhzzkz\
  zfzzczz_zzYyzVvyQswOpuKmsHlrFioBfm8cl4ai2Zh0Wf0Uc0\
  Qb0Pa0Sc0Uf0Vh0Wj0Zl0_o0ap0bs0cv0fw0hz0iz0jz0lz0jz\
  0jz0jz0jz0jz0jz0jz0jz0jz0jz1jz1jzzzz0iz0ip0if0hZ0h\
  P0hG0h80cA1aA3ZA5WA8UABQADOBGLFIIKLGPODUQBZNDcKFhI\
  HmGJrELwANyAOyBMwBLwBKwCIvCHvCGvDFuUDucCumCumGZrDY\
  wCYzBYz8Wz7Wb5W_4WY2VV1VS0VP0UM0UK0UH0UK0VL0VM0WO0\
  WP0YQ0YS0ZV1ZW2_Y3_Z3a_4aa5bb5bc7cf8chAeiAejBflCfm\
  ChoDhpFisGiuGjvHjwIlyIlzKmzLmzLmzLnzMozMpzNqzNrzOs\
  zOtzPuzPvzQwzQxzRyzRzzSzzSzzTzzTzzUzzUzzVzzVzzWzzW\
  zzXzzXzzYzzYzzZzzZzz_zz_z
  }

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 20.0 PAR-FORMULA FILE==================================


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