;     Date: Fri, 23 Sep 2005 10:23:09 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 23-09-05 (Square Root of 2-1 [7])
;       Id: <1.5.4.16.20050923102539.229fbb86@pop.mindspring.com>
; ---------
; 
; FOTD -- September 23, 2005 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Due to an unexpected small but rushed job, which needs to be 
; delivered by this afternoon, today's discussion will be brief.
; 
; Starting with today's image we will begin a series of FOTD's 
; that explore scenes in the fractals created by the formula 
; Z^(sqrt(2))+C.  These fractals are infinite in number, and all 
; are broken by discontinuities, but the midgets in them are 
; relatively easy to find, and though not as varied as those in 
; the classic Mandelbrot set, the midgets still have much variety. 
; The names will merely indicate the number of each image in the 
; series.  The name of today's image is "Square Root of 2-1", 
; which indicates it is the first in the series of images based on 
; the square root of 2.
; 
; Today's parent fractal is the one at ground level of the 
; MandelbrotBC2 formula.  In future FOTD's we will investigate 
; other levels reached by this formula.
; 
; The rating of a 7 is the seventh consecutive such rating.  The 
; render time of 1-1/2 minutes is blessedly brief.  The finished 
; image is posted on the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; With lots of sun, reasonable humidity, and a high temperature of 
; 86F 30C, Thursday turned out virtually perfect here at Fractal 
; Central, especially for the cats, who spent the afternoon hiding 
; in the holly thicket, making sure the cat from two doors down 
; the hill kept his distance.  With only a moderately heavy load 
; of work to finish, my day was not quite perfect, but it came 
; close.  Today is starting with some clouds and quite warm.  
; Possible showers are forecast for later.  We'll see how it goes. 
; The next FOTD will appear in 24 hours.  Until then, take care, 
; and dream of fractals.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

SquareRoot_of_2-1 { ; time=0:01:30.66--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2
  center-mag=+0.56788044566820710/+1.699692341050198\
  00/884217.7/1/-10/4.03226944195589354e-009
  params=1.414213562373/0/0/0 float=y maxiter=4200
  inside=255 logmap=67 periodicity=10
  colors=000G5CC6DE7EG8FI9GJAHKBILCIMDJNEK9FMAGNBHOC\
  IODIQFMVHQ`JUgLYjNaoPeuRhzMjwHltCmq7on2plvI1wVLwgd\
  NkPPiVQh_SgeTfjVepWduXczW`oVYeUVWTSMSPCRTJRXQQ`WQd\
  bPhiPkoLmqHorDps9rt6suEgbMXKUMmfFzr9zmFzhKzcQzZVzU\
  ``PeXRiRSlLToFQhENaEKVEHODEHDBAD94DEASIGeMMsf1RcFJ\
  `TCZe5hdDqcLkbIfaF``CW`ATbDQcGOdJLeMIfPGgRDhTAhU7h\
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  52gH3hT3id3g_8fWCdRHcNLH70JC2KG4LK6MO7NS9OWBP_DQcE\
  TeKWgPYiV`k_cmdeojhqojrtdso_tjVueQv`LwWGwRHsTIpUJl\
  VKiWKfXOcURaRVZPYXMaUJdSHhPEkNCcJOXGZPCiI9tUQZefDh\
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  EgODiNDkNDmNDoN0qICsNCuNCwNCxNByNBzNBzMBzMBzMAzMAz\
  MAzMAzM9zM9zM9zM9zL8zL8zL8zL8zL8zL7zL7zL7zL7zL6zK6\
  zK6zK6zK5zK5zK5zK5zK5zK4zK4zJ4zJ4zJ3zJ3zJ3zJ3zJ2zJ\
  2zJ2zJ2zI2zI1zI1zI1zI1zI0zI0zI0zI0zI7zn6zm6zm6zm6z\
  m6zm6zm6zl6zl6zl6zlgzWszs }

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=========================================
; 
;