;     Date: Wed, 25 May 2005 11:45:11 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 25-05-05 (Stringing Along [5])
;       Id: <1.5.4.16.20050525114641.381f71d2@pop.mindspring.com>
; ---------
; 
; FOTD -- May 25, 2005 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; On Tuesday evening I wondered what would happen if the almost-
; Mandelbrot set were rotated 180 degrees, so that the main stem 
; fell on the positive half of the real axis instead of the 
; negative half.
; 
; With the exponent of Z so close to the integer 2, I needed to go 
; 3,141,585 levels up the hyperspiral before the fractal rotated a 
; full 180 degrees.  (I assume the proximity to the number PI is 
; coincidental.)
; 
; What I found at this cosmic level is little more than a mirror 
; image of the ground-level figure.  The main stem once again is 
; infinitely divided, with the 'explosion in a rail yard' effect 
; prominent.
; 
; Instead of investigating the east valley of the largest midget, 
; I checked the east valley of a sub-midget on the main stem of 
; the large midget, and found a nest of sub-midgets arranged as 
; though they were strung out like beads on a string.
; 
; I named the image "Stringing Along", and rated it a 5, which is 
; average.  It might be worth a 6 or so, but I am starting to grow 
; bored with the 'infinitely divided main stem' theme, and could 
; give the image no higher a rating.
; 
; The render time of 9-1/2 minutes on my 10-year-old machine is on 
; the slow side, especially in a world moving at a hectic pace.  
; But quick relief for latent impatience is on hand at the FOTD 
; web site, which can be found at the URL:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; where the completed GIF image waits, ready for download.
; 
; A cold, dreary, rainy day on Tuesday here at Fractal Central 
; left the cats' moods on the surly side.  Extra tuna made them 
; feel somewhat better in the evening, but it could not make up 
; for an entire day of forced confinement.  Today is starting 
; cloudy and cold, with rain scattered around the area.  It could 
; be as bad a day as yesterday.
; 
; For me it's work first.  The fractals come later.  Until 24 
; hours have passed, take care, and where do prime numbers come 
; from, if from anywhere?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Stringing_Along { ; time=0:09:38.86--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=+1.78357259738345500/+0.000006023651137\
  31/1.04065e+008 params=2.000001/0/3141585/0 float=y
  maxiter=5000 inside=0 logmap=228 periodicity=10
  colors=0000000000000000000000000100200300400500500\
  600600800801801901902A02A02A03B04B04C05C05E06E06F0\
  9F0CE3GC8KBCPAHSAKUAMUAOUAQUASUAUUAWUAYUA_UAaUAcUA\
  eUAgUAiUAkUAmUAmUAmUAmVAmWAmYAm_AmaAmcAmeAmgAmiAmk\
  8nm6ro9rqArsCruErwGrxHryKrzMrzPrzQrzTrzVrzYrzZrzar\
  zcrzfrzhrzlrznrzqrzrrzvrzxrzzrzzrzveyoTxhJta9vZ2rY\
  1qW1oW0nV0lT0hT0fS0eQ0cQ0aP0ZN0YN0WM0VK0TK0QJ0PH0N\
  H0MG0JE0KG0MJ0MM0NP0NS3PV5PY8Q`AQaCSeGThJTlMVoPVrT\
  WvWWyZYzaZzfYzeWzeVzeTzeSzcQzcPzcNzcMzaKzaJzaHzaGz\
  `Fz`Ez`Cz`BzZzzZzzZzzZzzYzzY4zY2zW3zY3zY3yZ3vZ3t`3\
  r`3q`4na4la4jc4fc4ee4ce4ae5Zf5Yf5Wh5Th5Sj5Qj5Pj6Ql\
  6Sl6Un6Wn6Yo6_o2`z6aoBbeGcWMcMScEYc6cd0je0qf0og0oh\
  0ni0nj0lk0ll0jm1jn3ho5hp8fqAfrCesFetHcuKcvNawQawT`\
  wW`wZZwaZweYxhYyjWzeWzaWzZVzWVzTVzPTzMTzJTzGSzESzA\
  Sz8Qz5Qz3Qz1Qz0SzASzNTzaTzqSzrQzrPzrNzrNzrMzrKzrJz\
  rJzrHzrGzrFzrFzrEzrCzrBzr }

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 PARAMETER FILE=========================================
; 
;