[Fractint] FOTD 31-08-12 (Shattered Dreams [8])

31 Aug 2012

      FOTD -- August 31, 2012 (Rating 8)

Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal that results when the 
expression Z^(1.7)+C is iterated 11 levels up the complex 
logarithmic hyperladder with the recip function applied.  (The 
'hyperladder' could more correctly be called a hyperspiral or 
hyperhelix.)

This parent fractal resembles a distorted Mandelbrot set that 
has been rotated so that its East Valley lies on the northwest 
side of the main bay, while its main period-2 bud sprouts from 
the southwest side.  A long, twisting filament with a large 
minibrot extends southwest from this bud, but we are not 
interested in this filament.  For today's image we check the 
southeast shore line of the misplaced East Valley.

We find some curious elephant pieces in this area, but we bypass 
the pachyderms to check a high-order star, where we find today's 
scene.  The rating of an 8 indicates that I consider the image 
to be an above average one found in the range of exponents 
between 1 and 2.

The name "Shattered Dreams" is un-necessarily foreboding.  The 
image is actually rather bright and cheerful.  The calculation 
time of 6 minutes drags a bit, but relief lies at the web sites.

The finished image is posted for all to see on the FOTD web site 
at:

      <http://www.crosscanpuzzles.com/Archives.html>

The high-definition rendering is available at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

Back images are online at:

       <http://www.Nahee.com/FOTD/>

The morning fog cleared off by 10am, leading to a sunny hot 
afternoon with a temperature of 91F 33C.  The fractal cats 
remained in full summer mode all day, except for a brief moment 
of excitement when Nicholas got wind of an unwanted tomcat in 
the area.  The humans spent much of the day preparing for the 
big week-end.  The next FOTD is not scheduled to be posted until 
September 4, but even then, no guarantee is given or implied.  
Until whenever, take care, and be extremely cautious before you 
believe the promises of the political candidates.

Jim Muth
jimmuth@earthlink.net

START PARAMETER FILE=======================================

Shattered_Dreams   { ; time=0:06:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-0.1238618515707104/+0.2069993477786224\
  /2.660665e+007/1/-177.5/0 params=1.7/0/11/0 float=y
  maxiter=5000 inside=0 logmap=702 periodicity=6
  colors=000000988AA9BCACEBDFCEGDFIEGKFHMGFOHEQICSJB\
  UBJPNRJYZDhf8sfAqfCofEmfGmfImhKmjMmmOmpQmqSmuSmrQe\
  oLYjHQgCIe8Ac43dCEiKOnRZsZhwertbpr_opXnmUmkRliOkfL\
  idIhbFg_CfY9eW7dUAaTC_SFYRHWPJUOMSNOQMQOKTLJVJIXHH\
  _FFaDEcBDf9Ch7Bj5sksohplfniclfajcZh_XeXUcUSaRP_ONY\
  PMXQMWQMVRMURMTSLSSLRTLRULQULPVKOVKNWKMWKLXKKXKKZM\
  J_OI`QHbRHcTGdVFfWFgYEh_Dj`DkbCldBmeBldCkcDjbEiaFh\
  `Fg_GfZHeYIdXIcWJbVKaUL`TL_SMZRNPQ`QR`RT_SV_yJQzMS\
  oURdaQUiQJqP9xP8`mITaRMQ`EEi73kE9lKFmRLnXRpbXqibro\
  hsunopikkegfacaX_XTXTPYNMZIJ_CG`7D`2BpVHevMoyiMuhD\
  ShN`hNbhOehOahLbgIcfGcfDdeBde0ikEejRbjc_jpXjkdhfkg\
  aszXzzRrzMkhGUjBKl6Am8Kh9UdBc_CcWDwSFwNzzJzrFzdazR\
  wsOuqLspIqnFomCmk9kj7jmFhoMfqTes`cugbwn`yu_0cs1cp2\
  cm2ckAcjImiQmhYmgemflmemmanmYnzUozQozNizSczWYz_Tzd\
  NzhzzlzzpzzqzzqzzqzzrzzrzzrczXbzXbzWazW`zMczIgzEjz\
  Anz6qz2kzIpzGuzEvzHwzKxzN }

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=========================================