;     Date: Sun, 22 Apr 2012 19:38:26 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 22-04-12 (Very-Dry Valley [8])
;       Id: <1.5.4.16.20120422194113.2b7f8bd4@earthlink.net>
; ---------
; 
; FOTD -- April 22, 2012 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image takes us to the main stem of a Mandelbrot set 
; corrupted in its depths by Z^(1.9)+C energies.  The effect of 
; this corruption is to create a main stem that on the surface 
; appears to be infinitely deep but comes to a dead end.  As a 
; result, the minibrots on the stem suffer increasing amounts of 
; cut-off distortion as they grow smaller, until a level is 
; reached where minibrots no longer exist.
; 
; Today's scene lies in the minibrot around -1.67, which has a 
; huge chunky valley where the west part of its main bay and large 
; period-2 bud should lie.  The scene of the image lies in a nest 
; of filaments in this valley.
; 
; The object that fills the image is what I call a dry valley, a 
; pattern with apparent two-way symmetry that appears to have a 
; minibrot at its center but dies out before the minibrot is 
; reached.  Take my word, there is no unresolved minibrot at the 
; center of today's image.
; 
; One thing I do see however is eight stands of fractal trees 
; trying to grow around the edge of the valley.  Just enough 
; resolution remains to fill the screen with one of them.
; 
; The rating of an 8 is based mostly on the brilliant colors in 
; the central part of the image.  The much smoother bluish outer 
; part was created by myself.
; 
; The name "Very-Dry Valley" refers to the richness of detail in 
; what could have been a fractal failure.
; 
; The calculation time of 3 minutes is a fair price for such a 
; colorful fractal.
; 
; The finished image is posted on sale in all its glory on the 
; FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The high-definition version, which simply oozes glory, is posted 
; at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; All the past FOTD's since April 1997 are online at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; where they bring more than enough fractal enjoyment for one 
; lifetime.
; 
; Today brought heavy clouds with increasing wind and rain to 
; Fractal Central.  The fractal cats checked the temperature of 
; 46F +8C, took a few glances out the back window, decided that 
; the unwanted cats were at a safe distance, and found comfortable 
; places to curl up and sleep.  The humans just took it easy.
; 
; The next FOTD will be posted in 24 hours.  Until then, take 
; care, and what will we do if it turns out that the world is a 
; dream after all?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Very-Dry_Valley { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip passes=1
  center-mag=-1.674475219419467/+0.00000091823482684\
  /2.510105e+012/1/70/0 params=1.9/5000/0/0/0/0/0/\
  0/0/0 float=y maxiter=1250 inside=255 logmap=326
  periodicity=6 mathtolerance=0.05/1
  colors=000TfjTfiSfhSegRefRdeQddQccPcbPbaOb`Oa_NaZN\
  `YM`XM_WLZVKYUJXTIWSHVRGUQFTPESODRNCPMBNLALJ9KI8IG\
  8GF7FD6DC5BA4A9487366254133011UO9OJ7IE5C93641YbMSW\
  IMQEHJBBD75637_D6XC5UB5RA4O94M83J73G62D52B41831520\
  218Hz7Fz6Dm5Bc4AU48O36J25E139014Xe`T`XQXTNTPJPMGLI\
  DGE9CB687343SmBPiANe9La8JY7HU6FQ5CN5AJ48F36B247123\
  0zlovhkrehnbej_bfXZbUWZRTVOQRLMNIJJFGFCDB997663334\
  md3i`3eY3aV2YS2UP2QM1NI1JF1FC0B9076033tzbroJqh3lc2\
  gX2bT2YQ1TM1OI1JE1EB0970430oR`hNWbKRWGNQDIJADD6963\
  4z97s65m43c21Ua_KYW`VTXRQTOMPKJKHGGDDCA9866433BK4A\
  I39G38F37D26C25A2591471361240130010``VYYSVVQSSNPPL\
  MMJJJGHHEEEBBB98875542221Mm0Ki0Jf0Hc0G_0EX0DU0BQ0A\
  N08K07G05D04A0260132f11c01`01Y01V01S01P01M00K00H00\
  E00B0080050020MYlITeFOZCJS9EL69E347hte_hXRYPIMG9B8\
  c`aZWXVSTQOPMKLHGGYbHWZGVVEURDSNCRJAQF9PB8RD7SF7UH\
  7VJ7XK6YM6_O6`Q6bR5cT5eV5 }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  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),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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