Fractal of the Day
by Jim Muth

Another Forest ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- May 04, 2004   (Rating 6)

Fractal visionaries and enthusiasts:

In the two most recent FOTD discussions I wrote of making FOTD rating points by using unusual program features instead of skilled fractal hunting and coloring.   Today's image emphasizes this dilemma, for in it I have used a bit of both.

I have indeed used a bit of program trickery.   The inside parts of fractals are 'really' flat black.   In today's FOTD, I have departed from 'reality' by rendering the basically flat-black image using the 'bof61' feature, which colors the inside according to the number of the iteration that brings the points there closest to the origin.

The fractal skill part lies in finding the scene in the first place.   The parent fractal was created by combining Z^(-1.618) with 1/10 as much Z^(-16.18) and adding (1/C).   This parent comes in two main parts, and consists of two oversized disconnected areas of action, one north of the other.   Both areas have open Mandeloid features with ample places to explore.   I chose to explore some distance inland from the southeast shoreline of the indescribable Mandeloid lying in the northern half of the parent.

I went rather deep before stumbling upon the scene illustrated in today's image.   Once I found the scene, I evaporated it and applied the 'bof61' fill to what remained.   Then I applied a bit of artistic skill when I colored the scene.   The result appears as today's image, which, despite all the above talk, rates only a slightly-above-average 6.   The overall value is 149.

I named the picture "Another Forest", because it reminds me of a fantastic forest, and I have seen so many similar images that they are starting to become boring.   But the image is still worth a look.   It takes only 4 minutes to render, so boot up your version of Fractint and give the included parameter file a run, or hurry to Paul's FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and download the completed image from there.

A cold rain prevailed all day Monday here at Fractal Central, keeping the cat duo confined to their window shelf, where they spent the afternoon watching birds and squirrels.   The temperature of 48F 9C felt more like February than May.   Today is starting sunny but quite chilly.   The fractal cats will need to be brave if they hope to have any prolonged time outside.

As for me, I'll finish the business work, then start disposing of that fallen fractal tree limb that is still half-blocking the fractal alley.   When and if I complete these burdensome tasks, I'll visit Fractal Land.   Until next FOTD, take care, and expect the unexpected.


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


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

Another_Forest     { ; time=0:04:01.95--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.562994438322458/-1.573328025352637/1\
  331340/1/-157.5/2.17469432778338856e-006
  params=1/-1.618/0.1/-16.18/0/1e+100 float=y
  maxiter=1000 inside=bof61 periodicity=10
  colors=000A`vIozQnzYlzekzlizqlivoQzs6zv0xzCtz`qzzz\
  `lz3`z9fzFlzLszQwzXzzbzzfzxnzwtzwzzvzzvzzwzzxzozze\
  zzXG8O6Qi0hz6kxGnqQqi`tbkwVvzOzzIzxLzwOxvQwtSvsVsq\
  Yqo`onb`qhOtlAvqMnhXf`f`TsTMzMFzG8zMCzSGzXLvbPqfTl\
  lXhq`Z_e__i`W`SXfUX_S0X8C0AG0DJ0FM0IP0JS0MV0P`0Tc0\
  Xh0YY0YV0YG0_8So0A_0FX0JT2OQ6SPCXMI_JMcIShFYlCbq9h\
  t8nx5sz2xz0zz2wz2sz3nz3iz3ez5`z5Xz5Sz2cz0oz0zz0zz5\
  zxFznPzc_zTiwJluOntQqqTspYvn`wnczlhzlkzjnzoqzsizvc\
  zwYzzQzzLzzFzz9zz2zz0zz0zz0zz0zz0zz0zz5zw9zsDzoIzl\
  OzhSzeXzb`xccvcetefqehnfilfkihnfhoeiqbis_ktYkvcolh\
  scYXTXX_VXcSTbPQbOO`LL`IJ`GG_DD_AA_98Y66Y33Y20X00X\
  00X0`_0cY0fX0hV3kV5nT8oSAsQCvQFwPGzOJzMMzMOzLQzJSz\
  JOzLJzMGzMCzO8zP5zP3zT3zX3w`3tc3qf3ok3ln3iq3hv3ex3\
  cz6`w9_tCYqFXnIVkJTfMScPQ`SPYVOVXMSTPXQQ`PSeMViLXn\
  IYsG_wJXxLVzOTzPQzSPzTOzXMzYJz`IzbGzeDzfCziAzk9zTF\
  qCJ_DOXDSVDVS03D00D08S3Mf }

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


Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
or to the renowned Fractal Census

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