FOTD 01-07-04 (Pi in Sight [7])

1 Jul 2004

      FOTD -- July 01, 2004 (Rating 7)

Fractal visionaries and enthusiasts:

In today's short discussion I will not wax philosophical, nor 
will I wax political.  I will wax fractal.  After all, we're 
here because we enjoy fractals, and not to give our opinions of 
world events.

Today's quickie shows a midget that is located on a surprisingly 
long and straight filament extending from the main body of the 
Z^1.314159...+C Mandeloid when this fractal is calculated 62 
levels up the logarithmic spiral.

I rated the image at a 7, mostly because of the striking colors, 
which I found almost totally by chance.  I named the image 
"Pi in Sight".  A closer examination of the exponent of Z will 
reveal the reason for the name.

The parent fractal appears to hold several other interesting 
areas.  If I find the time, I will do further investigating and 
present anything of interest I might find as a future FOTD.

When the render time of 23 minutes is factored into the rating 
system, the overall value equals a 31.  That value can be made 
higher by downloading the completed image from:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

Another in an unending string of near perfect 84F 29C days gave 
the fractal cats little to complain about on Wednesday.  I could 
complain a bit about the work that is yet to be done -- but I 
won't.  Hopefully, what I will do is return in 24 hours or so 
with the next FOTD.  Until then, take care, and are fractals 
necessary for life?

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

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

Pi_in_Sight        { ; time=0:22:55.28--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1 center-mag=+7.0\
  092422286503/+5.547921277829/9.579319e+008/1/15/1.\
  92347512060556114e-005 params=1.314159265358979/0/\
  62.85/0 float=y maxiter=120000 inside=0 logmap=63
  periodicity=10 colors=0004004005105205305405505608\
  71B81D91GA1JB1MC1PD1SC1VA1Y91`81c71e61g51i41k31m84\
  oD6qI9sMBuREwWGt`IqdLniNknQZsSUwUUpRUjOWfIYbD_bFab\
  HcbIebKgbLibNkbOmbQobRqbTsbUu_awYhygbwfctbCfYEfbF`\
  aDW`BR_9MZ7HY5CX4GV9JUDNTIQSMURQXPV`OZcNcgMgjLkbMf\
  VMaOMXGMS9MO8KR8JT7IW7HY6G_6Fb5Ed5Df5Ci4Bk4An39p38\
  r27u26w25y39w4Du5Gs6Kq7No8Rm9UkAYiBagCdeDhcEkaFo_G\
  rYHvWIyUKxTMwSOvRQuQStPUsOWrNYqM_pLaoKcnJemIglHikG\
  kjFliELdCHSJDFQ93WDAUGGSJMQNSOQYMTcKXiI_oGbuEckDdb\
  CeTBeKAhLGjLMlMSnMYpNcrNhmOeiOceOe`OhXOkTOnOOqKOtG\
  OwcEzz5zx8zwBzvEzuGxtJzsMzrOzlRzfTzaVzWXzR_zLazGcz\
  Aez5gz8czB`zEXzHUzKQzNNzQJzTGzWCzZ9za6z`5z_5zZ5z`7\
  za8zb9zcAzeCzfDzgEzhFzjHzkIzlJzmKzlMzlNzkOzkPzjQza\
  ZzjRzjTziUziVzhWzhXzKezMdzOczQczSbzUazWazY`z_`za_z\
  cZzeZzgYz6czAbzEazHazL`zO`zS_zV_zZZzaZzeYzCKzGMzKO\
  zNPzRRzVSz6Az29z3Az3Bz3Cz3Cz3Dz4Ez4Fz4Fz }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-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 20.0 PAR-FORMULA FILE==================================

Jim Muth

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