Fractal visionaries and enthusiasts: 

Today's image lies in the parent fractal that is generated when straight Z is combined with sqrt(0.5) parts of Z^(4.01) before straight C is added on each iteration.  This parent resembles a Mandelbtot set rotated so that its west side faces southeast.  Its normally solid East Valley, now on its northwest side, is cleaved into two prominent 'wings' by a large intruding valley.  Today's scene lies on the edge of this large valley, which separates the two 'wings'.

The name "Land of Terraces" describes what I imagine I see in the image.  Others could easily see things entirely different.

In an effort to make something of a lackluster image, I rendered the scene with the outside set to 'tdis' and the inside set to 'fmod'.  The result raises the art value to an amply adequate 7.5, while the math value remains at a bearable 5.  With only slight variations, I borrowed the parameters from an image recently sent to me by Sebastien.

The calculation time of 4 minutes is a bit slow, all the more reason to seek the web sites for relief.

Partly sunny but quite chilly temperatures prevailed here at Fractal Central today.  The high of 37F +3C was more typical of mid-December than mid-November.  The older fractal cat enjoyed the sun when it was shining, while the younger fractal cat, who does not yet realize that she is a fractal cat, was fascinated by the passing scene outside.  During the cat action the fractal humans had an uneventful day.  I know that this report is dull.  Those who want to read about relationships with more interesting interaction should pick up a romance novel.

The next FOTD will be posted in the proper time, which will most likely be sometime tomorrow evening, U.S. Eastern Standard Time.  Until then, take care, and thank goodness!  I was worried that I might be a sasquatch!

Jim Muth
jimmuth@earthlink.net


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

Land_of_Terraces   { ; time=0:04:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.0185648126917398/+0.0374303039712042\
  /1.3e+009/1/-7.5/0 params=1/1/0.707106/4.01/0/0/0/0
  float=y maxiter=1500 inside=fmod
  proximity=0.001 outside=tdis
  colors=0004ZT4cS3gS2lRGB8EMGELHFKIFJIFIJGGKGVAHj0I\
  HSKIRMJQOLPQMOSOMUPLWQKYSJ_TIbVG`SGZOGXKGUGGPDEK9C\
  F5A31A33A45558A6AD7KG7UI8cIUmJhzJBzKDvKGmJzcIMZIPZ\
  HRYGz_GX`F_bEzdDyUfuUfpTfkTffSfaRfXRfSQfNQfIPfDOgD\
  ShEWjF_lGcnHgpIkrKhnNejPbfS_bRcaQh_OlYNqXMuVKzTZjR\
  nVPkVNhWLdXJaTJYPJVLJRHJNDKLDOJESGEXEF`BGe7jFFkMOl\
  UXm`enhnopfalYOhPAdRGcUMaXS_ZYYacWdjUehSffQhcNiaLj\
  _JlXGnaJqgMtmPwsShfXTUaDGfYqO`qScpWfo_ioclngomkslo\
  ekpSiqEhr0ftMOqg5ne8jcCeaG`ZKWXORVSMSWHPXMMYRJ_WH`\
  ZCacHahMbmOcrQdvSezUfzVgzWhzXizYjz000VczQczcczcczc\
  czcczcczYczSczLczEcz7czDczLczUczaczcczcczcczcczccz\
  cczcczcczcczcczcczVczLcz000cczWczRczLczFcz9cz3czDc\
  zOczZczcczcczcczcczcczcczSczMczNczPczRczSczUczWczY\
  czbczcczOcz2cz7czCczHczMczRczQczSczVczYcz`czbczccz\
  cczcczcczcczcczcczcczcczcczcczcczRczIczMczQczUczYc\
  zbczcczUczIcz6cz6cz5cz5cz }

frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================