;     Date: Tue, 17 Jun 2014 17:39:45 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 17-05-14 (Superposition [A-8,M-8])
;       Id: <1.5.4.16.20140617105556.309f68d8@earthlink.net>
; ---------
; 
; FOTD -- June 17, 2014 (Rating A-8,M-8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is named "Superposition".  This name has nothing 
; to do with the even more mysterious quantum world.  It is a 
; simple overlaying of the Mandelbrot and Julia aspects of 
; Seahorse Valley, calculated without using multiple layers.
; 
; The two bright beige spikes intruding from the north and south 
; edges of the frame are part of the Mandelbrot aspect of the 
; valley.  The small bluish figure centered between the points of 
; the spikes is a somewhat distorted version of the Julia set of 
; Seahorse Valley.  This is the first fractal I have found that 
; shows both 'seahorse' aspects in their proper places with so 
; little distortion.
; 
; The art and math ratings of 8 seem about right, at least to me.  
; The calculation time of 1 minute will pass in a semi-flash.  The 
; flash may be eliminated by checking the finished image on one of 
; the web sites.
; 
; So be happy.  Save time by checking the finished image at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; Lots of sun and humidity made the temperature of 90F 32C feel 
; like midsummer here at Fractal Central today.  Storm clouds were 
; on the horizon most of the day, but none came close enough to 
; bring cooling breezes.  The fractal cats celebrated the 
; conditions that make cats happy by stretching out on the coolest 
; places they could find.  The next FOTD will be posted in a 
; reasonable time.  Until then, take care, and where is a media 
; news outlet without an agenda?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Superposition { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivJulibrot-2 function=recip
  passes=1 center-mag=-0.0410392/0/0.4436728
  params=88/0/88/0/-0.75/0/0/0/-10/1000000
  float=y maxiter=1500 inside=bof60 logmap=yes
  symmetry=xaxis periodicity=6
  colors=000zzzmmmcecUZUKUKAGE5AC34B02A00C03F26I49K6\
  AP8BU9CW8CX7DY7E_6Fa5Fc5Ge4Hh3Ij3Il4Lj5Oi5Qh6Tf7Ve\
  7Yd8`h9bm9erAgvBjzBmvCorDrmDthCocBkZBfVAbRAYR9UR8P\
  Q8LQ7GQ7CQBDREDRHDSKDSODSRETUETXET`EUcEUfFViFVmFVp\
  FWsFWvFWtEYrE_pD`nDblCdjCeiBggBieAjcAla9m_9oZ8qX8r\
  V7tT7vR6wP6yO6zMBvLFrKJoJNkHRhGVdFZaEbYDfVFgUHgTJg\
  SLgRNgROgQQgPSgOUgOWhNYhMZhL`hKbhKdhJfhIhhHihHjgIj\
  gIjfIkfJkeJkeJldKldKlcKmcKmbLmbLnbLnaMnaMo`Mo`Mo_N\
  p_NpZNpZOqYOqYOqYOoXPmWPlVPjUPiTPgSPeSQdRQbQQaPQ_O\
  QZNQXNRVMRULRSKRRJRPIROIRPHSPGTQFTQFUREURDVSCVSCWS\
  BXTAXT9YU9YU8ZV7ZV6_V6`W5`W4aX3aX3bY2bY1cY1cZ3`_4Z\
  _5X`6Va8Ta9RbAPcBNcCLdEIeFGeGEfHCgJAgK8hL6iM4iN2aQ\
  FVTRWUSWUTXUUXUVYUVYUWZUXZUY_UZ_UZ`U_`U``VaaVbaVbb\
  VcbVdcVecVfdVfdVgeVheVieVidWhdXhdYhdYhdZgc_gc_gc`g\
  cafcbfcbfbcfbdebdebeebfebfecdccbbc`acZ`cX_cVZcTYcR\
  XcQVcOUcMTcKSY`JXbJWcKVeL }

frm:FinDivJulibrot-2   {; draws slices of FinDivBrot-2 Julibrots
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  aa=-(real(p5)-2), bb=(imag(p5)),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 1000000 }

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