Fractal of the Day
by Jim Muth

Cerulean Microbrot ©
Jim Muth's fractal image in GIF format (640x480).


Classic FOTD -- December 20, 2000   (Rating 6)

Fractal enthusiasts and visionaries:

I hate computer crashes.   This morning, the computer with all my FOTD files crashed.   Its hard drive is dead as a flock of dodos.   Luckily I had all the important files backed up -- all that is except the program files that connect me to Mindspring, or Earthlink as it is now called.   I downloaded the files and never thought to back them up.   As a result, I'll be posting through AOL for a few days, until I can replace the Mindspring programs.

In the meantime, the fractals will continue unabated.   Today's effort, which I named "Cerulean Microbrot" and rated a 6, features an unusually well-defined Mandelbrot midget in shades of tan and blue.

The expression -1.76Z^(-1.1)+1.44Z^(0.9)+(1/C) created the image, and of course the MandelbrotMix4 formula did the calculating.   The parameter file renders in 11 minutes on a 200mhz Pentium.   Unfortunately, since I have no access to Mindspring and it is very awkward to post binaries through AOL, the GIF image is not available on the usual newsgroup.   But it is available on Paul Lee's web site at the URL:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
At least it will be available as soon as Paul has a chance to render the image and put it on the site.

The fractal weather today was cloudy and cold, with a temperature of freezing, which kept the two fractal cats snug indoors.   In the afternoon, a light snow began falling.   The snow became heavier as night fell, with about 3cm now covering the ground.

And that's it for today.   I'll return tomorrow with another fractal.   Until then, take care, and become one with the world of fractals.


Jim Muth
jamth@mindspring.com


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

Cerulean_Microbrot { ; time=0:10:58.83 -- SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.18709960624948350/+0.78487204294931570\
  /9.299194e+011 params=-1.1/-1.1/0.9/0.9/0.6/400
  float=y maxiter=1500 inside=0 logmap=197 periodicity=9
  colors=000LwJJwI<2>HwGGwGEwEEwEGqGGlGGhGGbGGZGGVGGQG\
  <3>G8GG4GG0GG0G`IMxcgubh<11>cbtbbu`bv<3>WbzPQGIGPC5I\
  A7M<2>9AV9AX9C_8Db8Ee8Eh7Gk7Hl7In5Jo5Jq5Lq4Mr4Nt4Nu3\
  Pw3Qx3Sz3Sz7VzAXzD_zHbzLezNhzSkzVlz<2>euzixznzzqzzuz\
  zxzzzzzzzzzzzzzzzxxzuuzttzrrzooznnzllziizhhzffzcc<3>\
  zXXzWW2ut4tq5to7rl9rkAqhCqfEocGobHo`GnVGnPGlJGlEGk8G\
  k3Gi0Gi0Ih0Jh0Mf4Nf8QeASeEVcIWcMZbQ_bTb`Xc``f_eh_ikZ\
  llZqoXuqXztWzuWzwSuwPiwM_uLZtLZtLXrJXrJWqJWqIVoIVoIT\
  nITnHSlHSkHSkGQiGQiGPhGPhENfENfEMeDMeDLcDLcDLcDJcDHc\
  DGcDDcDCfCAhC9iC8kA7<3>q92r90t80<2>x80qC7kGIcJVZNf<2\
  >PWWMZSJ`NHcLEfH<3>4r47o39l2Ak2Dh0Ef0Hc0J`0M_0PX0SW0\
  VT0XQ0_P0bM0eL0hI0kH0nJ0<3>zP0zQ0zS0zV0<3>z_0z`0zb0z\
  c0zf0zh0zi0zk0zl2<2>zq2znNzoMzqLzrLztJ<2>zxIzzMzzMzz\
  LzzLzzJ
  }

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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