FOTD 12-11-13 (Cusps of Wonder [A-8,M-5.5])

13 Nov 2013

      FOTD -- November 12, 2013 (Rating A-8,M-5.5)

Fractal visionaries and enthusiasts:

Today's image takes us back to the East Valley of the parent 
Mandelbrot fractal that results when Z^(2.01) is calculated 1.5 
levels up the hyperladder with no function applied.  (We very 
recently checked this same valley.)  Since the parent is rotated 
about 90 degrees, its East Valley, which is shaped like a wedge, 
is on the west side.  Today's image lies at the inner extremity 
of the chaos shooting inward from this wedge.

The name "Cusps of Wonder" refers to the eight cusps surrounding 
the central minibrot.  The artistic rating of an 8 indicates 
that I am rather satisfied with the gloomy atmosphere of the 
image.  The math rating of 5.5 shows that there is little new 
stuff in the math.

The calculation time of 2 minutes seems appropriate for the 
scene.  faster satisfaction may be enjoyed by checking the web 
sites however.

For complete satisfaction check the finished image at:

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

and the variations 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>

The day began with a temperature of 31F -0.5C and light snow, 
which piled up to an inch (2.5cm) by the time it ended at 7am.  
But by late morning the sky had cleared and by noon the sun had 
cleared away the snow.  The fractal cats, who are showing signs 
of becoming the best of friends, watched the snowflakes in the 
early morning, then took it easy in the afternoon.  One fractal 
human was glad the snow went away by itself; the other shrugged 
it off.

The next FOTD will be posted who knows when.  The best bet is 24 
hours from now, so until whenever, take care, and the globe is 
growing warmer, there is no doubt of that.  The question is how 
much warming is due to man's activities.  My guess is about 
5-percent, but some zealous environmental activists claim that 
we are responsible for 99-percent of the warming.  (If this is 
true, then I'm a sasquatch.)

Jim Muth
jimmuth@earthlink.net

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

Cusps_of_Wonder    { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-0.2657826335419736/-0.0005086399793624\
  /1.455326e+012/1/-85/0 params=2.01/0/1.5/0 float=y
  maxiter=1500 inside=0 logmap=208
  periodicity=6 mathtolerance=0.05/1
  colors=000AFNAFMAFLAFKAFKAFKAFKAFKAFKAFKAFKAFKAFKA\
  FKAFKAFKAFKAFKAFKAGKAHJAGIAFHAEGACEA9C50077B9CGBGL\
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  zFgzLdzSazYmzOmzFmz6mzDmzJmzQmzWmzbmzhmzomzumzWmz7\
  fzWfzaWzfLzjSzlZznezplzqmzmnzjozgozdpzaqzZqzWrzSsz\
  PtzMxzIizUlz_kzUjzPgzSezU }

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

Jim Muth

alex hay

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