;     Date: Wed, 15 Jun 2011 22:12:48 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 15-06-11 (Into the Depths [8])
;       Id: <1.5.4.16.20110615221253.10a7715c@pop.earthlink.net>
; ---------
; 
; FOTD -- June 15, 2011 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's FOTD image is late, but it's still worth the effort of 
; a trip to the FOTD web site.  In the image we venture ever 
; closer to the point of total linearity.  In fact, since 
; yesterday's image we have gone half-way to unity.
; 
; The value of the exponent in today's image is 1.0045, yet it 
; still creates fractals with interesting detail.  There must be 
; something special about the point 4.45 levels up the log ladder 
; when the 'recip' function is applied.
; 
; Regardless of which mathematical quirk the image came from, it 
; is worth a rating of an 8, much of it due to the mathematical 
; factor.
; 
; If I had had more time to work on the coloring, I might have 
; raised the image to a rating of an 8-1/2.  As it is, I devoted 
; most of the color work to creating the 3-D effect in certain 
; areas.
; 
; The name "Into the Depths" describes the fall toward unity.  
; Though today's image is quite close to the limit, I would not be 
; surprised if tomorrow's is even closer.  Check back to see.
; 
; The image may be seen without the nuisance of calculating it by 
; checking the FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The hi-def version is posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The classic FOTD web site may be accessed at:
; 
;       <http://www.Nahee.com/FOTD/>
; 
; Tuesday was a bit chilly but otherwise very pleasant here at 
; Fractal Central, and the clouds were spectacular.  The fractal 
; cats thoroughly appreciated the temperature of 66F 19C, 
; reverting to curl-up mode for their afternoon siestas.  The 
; humans, who were out of town all afternoon, let them sleep 
; undisturbed.  The next FOTD will be posted in just a few hours.  
; Until then, take care, and what will those who base their world 
; view on the reality of the material universe do, if it turns out 
; that everything is an illusion?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Into_the_Depths { ; time=0:16:58.75-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-2.100288591283524/-1.442130840681714/\
  528.8877/1/115/0 params=1.0045/0/4.45/3600 float=y
  maxiter=5200 inside=255 logmap=966 periodicity=6
  colors=000IpVKpTLpSMpRNnPPnNQnMSnLTnKUnJXnIYmGZmFa\
  mEbmDcmCfmBgmAik9lk8nk7ok7rk6tk5zn4zm4uk4qj4lj4gh4\
  cg5_g5Xe5Td5Qb5Nb5K`6H_6F_6DZ6BX69X6AT7BR8DNAELAGI\
  CHGDJDELBGN9GP7JR5KT4MW2N_2NY2PX2QW1QU1RT1RR1SQ1TP\
  1TN0VN0VM0WK0XJ0XI0ZH0ZH0_F0`E0`E0bD0bC0dB0dD0`E0Z\
  F0XG0VH0TI0RJ0PL0NM0LN1KP1IQ1GS1FT1DU1CT2DS3ES4ER5\
  FR6FQ7GQ9GPAGPCGNDINFINGJNJJMLKMMKLPLLRLKTMKWMJXNJ\
  _NIbPIePHhQnZTWdRHjQ9sW9pS9nP9mM9kJ9jG9gE9eC9dA9b8\
  9`69_49X39W29V19T09S09R0BQ0DQ1FQ2HQ3JQ5MQ7NQARQCUQ\
  FQIGTMIXQI_TIcXIgbJlgJqkJupJzwKzuJzuJzuIyuIysGysGw\
  sGwsGwrFurFurEurEtpDtpDupCvpCxuCzuBztBzsAzqAzpAznA\
  wl9uk9sk8qk8oj7ni7mh7lh7kg7jd7ib7nZ7pW7gT7VQ7SN7PK\
  7MA7BA3EA5GA7HU9KUKN_KPUKS_KUUKSKMRKMQKMPKMNKMMKNL\
  KNKKNIKNHKNHKNGKPEKPEKPDKPCKKBKLBKKBKKCKICKIDKHDKH\
  EKGEKGEKFEJFFKEFKEGLDGMDHMBHNGHPGHQGIQFIRFJSEJTEKT\
  DKVDLUCFU3IU7LUCNMKMMKLMK }

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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