;     Date: Sat, 27 Nov 2010 18:57:35 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 28-11-10 (Near the Optimum [7])
;       Id: <1.5.4.16.20101127185733.14475760@pop.mindspring.com>
; ---------
; 
; FOTD -- November 28, 2010 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Yesterday's image showed one of the frequently mentioned but 
; rarely seen fractal 'fans' that exist in fractals of the type 
; (-n*(Z^-n))+(-n*(Z^-n))+(1/C).  Today we check one of the 
; minibrots that exist around the edges of such fans.
; 
; In today's image we doubled the (Z) portions of the FOTD of 
; November 23.  The resulting parent fractal closely resembles the 
; earlier image, though its size is slightly smaller.
; 
; Today's image is located on the right edge of the 'fan' that was 
; featured in yesterday's image.  The overall effect is of a 
; minibrot in one of the higher-order 'stars' of the Mandelbrot 
; set.  There are also minibrots all over the flat 'blade' of the 
; parent fan, though it takes a bit of searching to find them.
; 
; The name "Near the Optimum" is misleading.  I see nothing in the 
; image to imply that something in it is near optimum.  In fact, I 
; doubt that anything in fractals can be considered at optimum, 
; except perhaps for a critical value for initial Z in certain 
; fractals.
; 
; The rating of only a 7 means that calculation time of 16-1/2 
; minutes will be more effort than the result will be worth.
; 
; The finished image is or soon will be posted on the FOTD web 
; site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; If the image is not yet posted, be patient.  Paul is doing his 
; best to get the FOTD site caught up, but he is still recovering, 
; and it might be a while before things are completely back to normal.
; 
; Saturday brought snow flurries, but with some afternoon sun, and 
; a temperature of 39F +4C to Fractal Central.  The snow flakes 
; brought the fractal cats to the window, but they soon grew bored 
; and returned to warmer spots.
; 
; My day was average.  The next FOTD will be posted in 24 hours.  
; Until then, take care, and if we could change the past, would we 
; know the future?
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

Near_the_Optimum { ; time=0:16:32.05-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=+1.934869010826633/-1.863451620247872/\
  1.059113e+010/1/-167.5/0 params=-22/-1.1/-5.5/-11\
  /0/525/0/0 maxiter=12000 inside=255
  logmap=2000 periodicity=6
  colors=000UGVXKSZOP`RMcVJeTGgXDiVBa_PUWbMSoPUmRVlU\
  WjWXiZYh`Zfc_ee`chabjYamc_cQZmWXcUWgYV9APD0dH0bL4`\
  P8ZTDYXHW`MUdQShVRlZPkcNjYLiXKiTMhYMhTMhYMcYMZYMUY\
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  XOW_OUaPTdQRfQQgRRgRRhSRhSRiTRiTRjURjURkVRkVRlWRlW\
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  cP8aR9VIJPASQBRRCQSDPTEOUFNVGMWGLXHKYIJZJI_KH`LGaL\
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  j`YubczeUxgSwiOvkLzzItnFzsCrzzzz6pwcztzlqEznGhlzzk\
  LTdzpjNbigjhSZgUffXVeZXfcWgbWhbWibWjbVkbVlaVmaVmaU\
  maUmaUmaUm`Tm`Tm`Tm`Tm`CmoDmnEmzFmzGmzHmzImzJmzKmz\
  PmzUmzZmzcmzhmzmmzmmzmmzmmzmmzmrzmrzmrzmrzmrzmrzmr\
  zmrzmrzmrzmrzmrzmrzmrzzzz }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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