;     Date: Tue, 21 Aug 2012 23:14:24 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 21-08-12 (Cotangent PI [8])
;       Id: <1.5.4.16.20120821231757.2a37a158@earthlink.net>
; ---------
; 
; FOTD -- August 21, 2012 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today we apply the cotangent function to the Z^(PI)+C fractal 
; and calculate it PI levels up the hyperladder.  The result is a 
; fractal that closely resembles the 'true' PI fractal, though it 
; is skewed and rotated a bit to the right.
; 
; Today's 'mammoth' minibrot lies near a much larger minibrot in a 
; tiny disconnected bit of debris just north of the negative 
; X-axis of the parent fractal.
; 
; The rating of an 8 indicates that I consider the image to be an 
; improvement over previous PI fractal attempts.
; 
; The name "Cotangent PI" tells where the image came from.
; 
; The calculation time of 4-4/5 minutes is disagreeably slow, but 
; the image is worth it, at least IMO.
; 
; The finished image is posted online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; to take the effort from viewing it.
; 
; A rendering in spectacular high definition is posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The entire collection of back images and discussions is at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The day here at Fractal Central began with low clouds and fog.  
; The fog and clouds cleared away by late morning, leading to a 
; very pleasant afternoon with lots of photoshop (aka Kodachrome) 
; blue sky decorated with the puffy white clouds that make a 
; picture postcard so picturesque.  The temperature of 81F 27C 
; just made things better.  The fractal cats had a relaxing day 
; basking in the tiny sliver of sunlight that is just starting to 
; come in their window as the sun angle grows lower.
; 
; The humans had an uneventful day.  FL still feels a bit 
; triumphant over yesterday's victory in our little disagreement.  
; I let her feel she had won, while still claiming a morale 
; victory for myself however.  The next FOTD will be posted when 
; the right time arrives.  Until whenever that might be, take 
; care, and fight for what you know is right, but when you find 
; it is wrong, be ready to switch.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Cotangent_PI { ; time=0:04:50.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=cotan
  center-mag=-0.6484451764762189/+0.1809410427501681\
  /1.650617e+010/1/135/0 params=3.14159265358979/0/\
  3.14159265358979/0 float=y maxiter=5000 inside=0
  logmap=470 periodicity=6 mathtolerance=0.05/1
  colors=000JOqJOqJOqJOqJOqJOqJOqJOqJOqJPqJQqJQqJSqJ\
  TqJUqJWqJWqJXqJYqJ_qJ`qKaoLbmMckNciOdhIdfDfd7hf3ih\
  2ki0mj1ik1gm1fm2co2ao3`q3Ys3Xs4Vt4St4Rv4Pv6Ox6Mz6K\
  z7Jz8Hz8Gz9Gz9EzACzABzAAzU9zC9za9ze9zK8zN8zi8zV8zd\
  7zW7z_7zb6zm6zj6zg6zj5zn5zs5zn5zt6zr6zr6zp6zp6zn5z\
  m5zl6xi6vj6tg6sg7qf6of6oj9kk9ihAfdBdaDa_E_XEXUHVRI\
  SPPQMLNLLLKKKJKKHNKEWHDSHCTF9VE7YC6_B4`92d81f74hB6\
  iD9iGAkIDmMGmOIoSKoUNqXQs`RscVtfYti_micxodjmhqqjst\
  ctnVfbSmYKaPHfJBcC2k48f79Q6GYAKVBPWDQPGMYJSQLTUMTS\
  PVURVTTXXXXXXYZYdadhhhloqnpqktzpszuzzvzzzzzzzzyzwl\
  omShUK_YCTS5GO0EG08F09I0EG0IN0MQ0OS1SX3VY4Y_6aa8dc\
  Bek9fd8f_7hW6iR6kM6kI5mE4m93o62o22q15q28q2Bq2Eq2Iq\
  2Mq2Pq2Tq2Xq2`q2bq2eq2gq2jq2nqCqqOqqaqqpyzixzYxz`w\
  zQvzOwzMvzLvzKvzIvzHvzGvzFvzEzzCzzCzzAzzCzzEzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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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