[Fractint] FOTD 05-11-12 (Pseudo-Symmetry [6.5])

6 Nov 2012

      FOTD -- November 05, 2012 (Rating 6.5)

Fractal visionaries and enthusiasts:

The name of today's image is "Pseudo-Symmetry".  The name refers 
to the shape of the parent fractal, which came about when I 
whimsically calculated the expression Z^(2.34)+C at a level 4.32 
turns up the hyperspiral.  At first glance this figure-eight-
shaped parent appears to have 'origin' symmetry, but a closer 
look reveals that the symmetry is only approximate.

Today's scene is located in a valley of a larger minibrot lying 
on a filament extending from a mis-shapen bud on the northeast 
shore line of the northern bay of the parent.  The semi-
symmetrical shape of the minibrot at the center of the image 
reflects the shape of the parent.

The coloring is nothing exceptional, but with the minor math 
interest, still earns a rating of 6-1/2.  The calculation time 
of 2-2/3 minutes lies within the normal range.  As always, 
calculation may be totally avoided by checking the image on the 
FOTD web sites.

The pre-calculated image is posted on the official FOTD web site 
at:

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

with hi-def variations at:

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

The back images are available at:

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

Today began with clouds here at Fractal Central, but in the 
afternoon, the sun finally made a brief appearance, its first 
since October 25.  The temperature of 45F +7C was rather chilly 
for early November.  Fractal cat Nicholas' anticipation is 
building as the arrival date of his new companion Callie nears.  
She is due on November 14.  Meanwhile, the humans simply made it 
through another day.

The next FOTD will be posted when it is ready.  Until whenever, 
take care, and who are you voting against on Tuesday?

Jim Muth
jimmuth@earthlink.net

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

Pseudo-Symmetry    { ; time=0:02:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=+0.581511067122/+0.663743919851/1.3e+007
  params=2.34/0/4.32/0 float=y maxiter=5000 inside=0
  logmap=243 periodicity=6
  colors=000pQgnPilOkkOniNpgMrfLtdKvbJxaJzcMydOxeQwf\
  SvgUvhWuiYtj_skarlcrmeqngpoiopknqmnrkjsigtgdudavaZ\
  wZWxWTyUQwSNwQKvOHrKHmFGhAGc5Fa2F_2EY2EW2DU2DU1CU1\
  CT1BS1BR1AQ1AQ00Q19Q19P18N18K17K17K16F06F05F05F04F\
  04F03F03F02F02F01F01F00A09A08A08A08A07A07A07A07A06\
  A06A06A06A05A05A05A05A04A04A04A04A03A03A03A03E02D0\
  2B02A02901701601501300200100wytwxswwrmvqmuqmtpctoc\
  sncrnUqmUplUpkUokUnjUmiPlhPlhPkgPjfPiePheLhdLgcLfb\
  KebKdaKd`Jc`Jb_EaZE`YD`YD_XDZWCYVCXVCXUBWTBVSBUSBT\
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  ijmjombgmV`zOTzGMz9FzJSzScz`ozXpzUqzUqzlnzUozUpzUq\
  zUqzcrzcszcszctzcuzcvzcwzcxzcyzcyzcxzcwzcvzcvzcuzc\
  tzctzcizc_zcQzcGzc6zc9zcB }

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