Fractal of the Day
by Jim Muth

Fractal Fanfare ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- December 18, 2006   (Rating 6)

Fractal visionaries and enthusiasts:

The parent of today's fractal was created when I subtracted Z^(1.5) from Z^(-0.5).   It is shaped like an unusually distorted Mandelbrot set.   Today's scene is located deep in some debris just beyond the main stem.

I rated the image at a 6 and named it "Fractal Fanfare".   I have no logical reason for the name.   I simply like the way it sounds.

The first impression of the image is that it lies near the escape radius of the parent fractal.   In fact, it is near a cut-off point, but this point is not the bailout.   It is a very strong discontinuity.

The effect was achieved by rendering the image with the outside set to 'tdis'.   The 5-1/2-minute render time is reasonable, but it is still easier to visit the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and view the image there.

The clouds here at New Fractal Central on Sunday did not hold down the temperature, which reached 54F 12C.   The fractal cats were unusually active.   They spent most of the afternoon batting their toys around the place.

My day was about average.   The next FOTD will appear in about 24 hours, which is quite average.   Until then, take care, and be one.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Fractal_Fanfare    { ; time=0:05:23.90--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.09397790372923559/-2.473990102403021\
  00/6.28241e+011/1.0421/17.853729149773649/1.521156\
  07205887438 params=1/-0.5/-1/1.5/0/0 outside=tdis
  float=y maxiter=1500 inside=0 mathtolerance=0.05/1
  periodicity=10
  colors=00000z02s02Z22G720B00G00L02P02V02Z04d04g04e\
  02d02b22b72`B0ZE0YJ0YM0lPLzRezR0uW0j`De0eV0jL5oBGu\
  2Pz0Zz0`z0`v0bs0bo0Yq5VsEPsOMuYHvgEvqAxz7xZGZAPB0Z\
  0Dzg5zd0z`0zZ5gjHOvT7zR2sP0eO0RO0ER0GT4GVAGWHGZPH`\
  WHbdHdjH00AGBGWRMDzBJxEPuHVqJ`mMgjP8L0PWRTYRWZRZ`R\
  bbRedRieRWJlZOi`RedVbeYZi`WjdTz08z5DzHHsVM0PD0TG7W\
  HEYJO`MKKKzV0zO0zJ0zE0TzzEeRDbZDZeDYlDVsDRzDPzA0WV\
  szPqzMooJmgGlYBjO8iG5g72g04j74mD5oL5sR7vZ7xeGsl0RV\
  WjzdgzldzGmW0v00m20gA0ZH0TP0LY0Ee08m0Lg0Wg0gd0s`0z\
  Y0zVJbgi2suGxzVzzgzzexzeqzdlzdexdZubVqbOobJ2JO0HP0\
  GP0LT5PWETZMY`Vbddegljjuml0oY5mWGlVRjTbiRG0HM7LTGM\
  ZPOeZPz0sz0mz4izDdvOZqYV0HzGVl0zzMxgdP2eT7gWAiYDi`\
  HjbLleOE5LJBMOGOTMOYRPbYPgbR00s0Ex0Js2MoAPjHTgPYbY\
  `ZedVqzEozHmvLlmOze0zg0zoHzv`zzuvzzuzzszzqzzozzmzx\
  VjuDPs07q54iE0bO0VW0Oe0Go0Ax04v00v70uH0uT0sd0so0qz\
  0qz0gz0Zs4RiGJ`RARb2Ho08z }

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=========================================


Want to view, create, or know more about fractals?

Go to my Fractal Links webpage, and
to the renowned Fractal Census.

Plus, to my hostings of:
O's Fractal Art Gallery

Go to my Fractal Pages on this site, or
to my latest web site for Fractals.

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