Fractal visionaries and enthusiasts:  

Today's image features the (-Z)^(1.1)+C Mandeloid, which is shaped much like the Mandelbrot set but with only one bud, the large period-2 bud on the negative X-axis.  (The other buds do exist, but in today's image they are off in imaginary planes.  They can however be brought out of hiding with the BranchCut formulas.)

The image shows a near-Julia view of the 'Seahorse Valley' area of the parent Mandeloid.  The effect of the striped rings surrounding the central open area was created by rendering the scene with the outside set to 'summ', an option I rarely use but which works well with today's image.

The name "Deep Blue Nowhere" implies that fractals exist nowhere in the three-dimensional space in which we appear to exist, yet they certainly do exist somewhere because we can see them on the screen.  Perhaps they lie in the mysterious 'implicate' order that some claim lies hidden beneath the surface of the 'real' 3-D world.

One thing not buried in abstruse abstractions is the calculation time, which at a fireball 30 seconds will be finished before impatience can develop.  And the web sites can remove the task of running a parameter file.

A typical mix of clouds and sun and a typical mid-November temperature of 52F 11C made today a typical day here at Fractal Central, a human-invented place that is as real as a probability wave.  The fractal cats, who are far more real, had a typical day, while the humans, who are probably totally real, spent the day taking it easy, which certainly is a very real activity.

The next FOTD, which is presently totally unreal, will be posted in the future, which is not yet real and may never be.  Until that moment arrives, take care, and unreal things can sometimes have a great effect on everyday life.

Jim Muth
jimmuth@earthlink.net


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

Deep_Blue_Nowhere  { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=-0.358657/0/\
  0.7220513 params=86/0/86/90/-0.75/0.1/0/0/1.1/616
  float=y maxiter=1600 inside=0 outside=summ
  passes=t periodicity=8
  colors=000000AAzA5zAKzA08907906905904803802801800F\
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  MI_MI_MH_MH`LH`LG`LG`LG`K }

frm:SliceJulibrot5   {; draws all slices of Julibrot
  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),
  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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(-z)^(real(p5))+c
  |z|< esc }

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