Fractal visionaries and enthusiasts:  

Today's image is a scene in the parent fractal that results when the expression Z^(1.7)+C is iterated 28 levels up the complex logarithmic hyperspiral.  This parent consists of a large twisted fractal with a large s-shaped bay, the whole thing surrounded by disconnected minibrot-like smaller fractals.  Today's scene lies in a blunt valley in one of these small fractals well southeast of the main body of the fractal complex.

I named the image "A Skewed Outlook" when I noticed the totally different appearance of the left and right halves of the scene.  This unexpected difference earns the math part of the image a rating of an 8.  The art part rates a 7, which is above average but nothing to brag about.

The calculation time of 5-3/4 minutes might start to drag for those fractalists with other tasks to attend to.  Here is where the web sites dash to the rescue.

A typically warm and muggy hazy summer day passed uneventfully here at Fractal Central today.  The temperature of 91F 33C kept things on the lazy side, especially among the fractal cats, who spent most of the afternoon stretched out in the living room.  The humans, unable to take it as easy, spent the day doing the necessary things as slowly as possible.

The next FOTD will be posted in a day or two.  Until then, take care, and the more 'news' I see on the mass media outlets, the more I wonder how much of that 'news' has been carefully chosen and spun to create a particular political impression.

Jim Muth
jimmuth@earthlink.net


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

A_Skewed_Outlook   { ; time=0:05:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=+1.348076433286836/-0.5324527881075607/\
  3.35741e+012/1/87.5/0 params=1.7/0/28/0 float=y
  maxiter=3600 inside=0 logmap=862
  periodicity=6 mathtolerance=0.05/1
  colors=000ELgDKfBIfAHe9Fd7Dd6Cc5Ac38b27b15a04a15_1\
  5Z15Y26X26W26V37U37T37S47R48P48O58N59M59L69K69J6AI\
  7AH7AG79E88D97CA6BA5AA49A38A27A16A05A04A03A02A01A0\
  0000j8Ii9KhALhAMeBQbBU_BYXBaUBeRBiOBlVdUa_YgV`ZVLR\
  V6SU8TT9USAUSBVRCWQDWQEXPFYOGYOH_JMaFRbAWd6`e2dZ9f\
  SGgMNiFUj9`kFZgLXdRWaXUZbSWgRTh_OhgJioEiw900000003\
  00600800A0090090A90E90H95K8AN8FQ8KT8PW8UZ7Za7XdAZg\
  C_jE`mGbpIcsKdiPi`TmSYrJavAezCbzE_zGXzHUzJRzLOzMLz\
  OIzQFzRCzT9zV6zW3zY4wZ5u`5sa6pb6nd7le8ig8gh9ei9bkA\
  `lBZnBWoCUpCSlFTiITfKUbNU_PUXSVTVVQXWN_WJaWGdXDgX9\
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  uwDuvGuuIutLusNurQuqSupVuoXunZqi`mebiadfXfbThZPjAA\
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  N7ZO4aP6dQ8fRAiSClTDnUFqVHtWJvXKXZF7`BKTFXMJiFNv8R\
  xQJygBzx4wv5uu5st5qs5nr5lq5jp5ho5fn5cm5al5_k5Yj5Wi\
  5Xh6Xh7Yh8Yg9ZgAZgB_gC_wB }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================