;     Date: Mon, 02 Dec 2013 16:47:40 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 02-12-13 (Thirty-Second_Root [A-7,M-8])
;       Id: <1.5.4.16.20131202164735.2ba731a6@earthlink.net>
; ---------
; 
; FOTD -- December 02, 2013 (Rating A-7,M-8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is a scene in the parent fractal that results when 
; Z to the power of 1.021897 is iterated at ground level of the 
; hyperladder with no function applied.  Not coincidentally, this 
; value is the square root of the exponent of yesterday's image, 
; and also the 32nd root of 2.
; 
; The parent fractal of today's image closely resembles the parent 
; of yesterday's image, though with less chaos along the edges of 
; the large bay, which is shaped much like an elephant seal with a 
; large pendulous nose.  Today's image is located in the chaos 
; near the straight southern shore line of the large bay.
; 
; The amount of semi-organized detail in the scene is unexpected 
; in a fractal created by an exponent of 1.02..., but images do 
; not lie, and the stuff in today's image did not come from 
; nowhere.  (Or did it?)
; 
; The name "Thirty-Second Root" refers to the exponent of Z.  The 
; art rating of a 7 indicates that the image is worthwhile, though 
; perhaps not as striking as some past fractal scenes.  The math 
; rating of an 8 shows that the amount of detail in the image is 
; quite unexpected.
; 
; The calculation time of 1-3/4 minutes will pass quickly enough.
; 
; For convenience, the image has already been calculated and 
; posted to the official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; Variations are available at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; A cloudy sky and temperature of 41F +5C made today entirely 
; un-notable here at Fractal Central.  The fractal cats, who are 
; not quite ready to share the window shelf, took turns watching 
; the outside scene.  The fractal humans, who wonder what the 
; world is coming to, kept their wonder alive by watching the TV 
; news at lunch time.
; 
; The next FOTD will be posted soon.  Until whenever that might 
; be, take care, and when people dislike a big corporation, they 
; usually fight it by organizing a boycott against the 
; corporation's products.  The big oil corporations certainly are 
; disliked, even hated, so where are the cries for a boycott of 
; products derived from petroleum
; 
; 
; Jim (they got us hooked) Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Thirty-Second_Root { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-7.97709/-0.623008/9.910814/1/33/0
  params=1.021897/0/0/1500 float=y maxiter=3500
  inside=255 logmap=106 periodicity=8
  colors=000A0HA0JA0LA0NA0PA0RA0TA0RA0PA0NA0LA0JA0HA\
  0FA0DA0CA0D00C00C00I00I00I00I00J00J00J00J00L00L00L\
  00L00M00M00M00M00O00O00O00O00P00P00P00P00R00R00R00\
  R00M00O00P00R00S00U01W02X04Z05_06a08c09d0Af0Ch0Di0\
  Er0Et0Gu1Hw4Jz5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRai\
  SadUa_WaWZaR_aMaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0\
  Mf0EX18O44G658850A50D50E50J60M81P95UAAXCG_DMcERhGX\
  kHcoJiwJhrKfmMdhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0O\
  i0Of0Jc4Ea9AZG8WO4UU0Ra0Ph0Ma2JWCGRKDKWrMdrMprMzrM\
  zrMzrMzrMwrMvrMtrMrrMprMmrMkrMirMhrMfzaczaaza_zaZz\
  aXzaWzaZzaazadzahzakzaozarzavzayzazzazzazzazzazzaz\
  zazzazzazzazzazzazzazzazzazzazzazhrzcrzZrzUrwRrrMr\
  mHriardarZaraardarharkryorzwrzrrzmrzirzfrzarzZrzWr\
  zPrzSrzUrzXvzZyzazzczzfzzhzzizzZzzPzzMzzazzizzrzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzaaa }

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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