[Fractint] FOTD 19-08-12 (PI Celebration[7.5])

20 Aug 2012

      FOTD -- August 19, 2012 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's venture into the PI family of fractals takes us to the 
parent fractal that results when Z^(PI)+C is iterated PI levels 
up the hyperladder with the 'ceil' function applied.  This 
parent resembles the familiar ground level PI fractal rotated 
about 30 degrees so that the north bud faces northeast.  Today's 
image is located in the debris surrounding a small distorted bud 
on the fractured western shore line of the southern lobe of the 
main bay, just north of the negative X-axis.

I usually avoid spirals in my fractals, since currently trendy 
fractals are over-populated with them, but today's fractal is so 
unusual that I just had to show it.  Instead of consisting of 
continuous unbroken arms, the spiral surrounding the minibrot in 
today's image consists of isolated patches of debris spotted in 
a spiral pattern.  This plus the coloring raises the rating to a 
respectable 7-1/2.

The name "PI Celebration" needs no explanation.  The calculation 
time of 1-1/4 minutes leaves only a tiny opening for impatience 
and boredom to creep in.  And even this tiny possibility may be 
eliminated by visiting the web sites.

The image is posted already calculated on the FOTD web site at:

      <http://www.crosscanpuzzles.com/Archives.html>

A high-definition rendering is posted at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The back images are online at:

       <http://www.Nahee.com/FOTD/>

The day began with a bank of river fog obscuring the sky, but by 
mid-morning the fog cleared off, revealing a higher layer of 
clouds that prevailed for the rest of the day.  The temperature 
of 73F 23C and lack of hot sun kept it quite comfortable for the 
middle of August.

The house watch cats, Cassie and Nicholas, being indoor cats, 
had little to say about the outside conditions.  The humans, 
being at least marginally human, had other things, such as 
discussing politics, to occupy their time.

The next in the unending series of FOTD fractals will soon be 
posted.  Until whenever, take care, and is the FOTD finally 
running out of steam after 15 years?  Stay tuned for the next 15 
years to find out.

Jim Muth
jimmuth@earthlink.net

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

PI_Celebration     { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ceil
  center-mag=-0.6252176739160485/+0.0538719225787179\
  /3.284e+009/1/147.5/0 params=3.14159265358979/0/\
  3.14159265358979/0 float=y maxiter=2000 inside=0
  logmap=142 periodicity=6
  colors=000Kx0Kw0Kv0Ku0Kt0Ks0Kr0Kq0Kp0Ko3Kn4Km4Ii5G\
  f5Eb6C_6AW78T76P84M82I90F91E81D81B71A7186176266245\
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  ybezXizVgxUewTcvRauQ_tPYsNWrMUqLTpMVnNWlOXjPZiQ_gR\
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  cUchUehTgmUhmRdmU`mUXmUUrUQrUMvUJzUFzUBzU8zU8zU8zU\
  8zc8zc8zc8zc8zc8zc8zh8zm8zr9zvAzzBzzCzzCzzDzzEzzFz\
  zGzzGzzHzzIzzJzzKzzKzzUzzbzzlDzzFzzHzzJzzKzzMzzOzz\
  QzzRzzTzzVzzXzzYzzXzzWzzVzzUzbTzcSzdRzeQzePzfOzgNz\
  hNzhMzgLzfLzfKzeJzeJzdIzd }

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