;     Date: Mon, 20 Aug 2012 14:45:03 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 19-08-12 (PI Celebration[7.5])
;       Id: <1.5.4.16.20120820144834.2baf8196@earthlink.net>
; ---------
; 
; 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\
  23530420420480AEJGKOMQSSWXYa`cgeimiopnzrzzrwwqmzpk\
  lrihpfcod_mbVl`RkZNc`LWbJOdHGfFFhDKbKPYQUTWZOacIhh\
  Dnn8tq3zo4xm4wk5vi5ug6te6sc7ra7q_ApYFoWKnUPnQUnMZz\
  KczIhzGmzErzCwzHrzMmzQhzVdzZbzc`zhZulXvqVwuUxnYyha\
  ybezXizVgxUewTcvRauQ_tPYsNWrMUqLTpMVnNWlOXjPZiQ_gR\
  `eRbdScbTd`Uf_VgYWhWWiVXhTYgSZfR_fQ`ePadNbdMccLdbK\
  ebJb`N`_RZZUXYYVX`TWdRVgNSTPOVRKWTHXRIWPIVNIULJTJJ\
  SIJSGJREKQCKPAKO9KOBJNCIMEHMFGLHFKIEKKDJLCINBIOAHQ\
  9GR8GT7FU6EV6EU8GT9ISBKSCMREOQFQQHSPUUOUWcUYcU_cUa\
  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=========================================
; 
; 
; 
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