Fractal visionaries and enthusiasts:

Today's image came about when I combined 5.4 parts of Z^(-1.7) with 5.4 negative parts of Z^(-7.3) before adding 1/C on each iteration.  The result was an oversized parent fractal consisting of a series of rings with a multi-bayed Mandeloid lying inside the largest ring.  This parent, which has X-axis symmetry, may easily be seen by outzooming to a magnitude of 0.05.  Today's image lies in the debris-filled East Valley of its parent Mandeloid, which is rotated 180 degrees, so that its East Valley has become a West Valley.

The image was calculated with a bailout radius of 600, the point where the solid outside parts just begin to break up and evaporate.  The pale blue network is actually the inside stuff starting to break through.

I had first intended to name the image 'Pale Blue Network', but finally decided on "Deep Blue Network", which has a more technologically advanced ring to it.  The rating of a 7 is close to FOTD average, and makes the calculation time of a fireball fast 51 seconds well worth the effort.

Thursday here at Fractal Central was vastly improved over Wednesday.  The partly cloudy sky and temperature of 66F 19C felt just about right for early May.  (At least the fractal cats said so.)  FL took advantage of the pleasant conditions, working in the fractal garden.  My day was occupied with other things, such as pondering the meaning of existence.  I have long since outgrown such rational but lame answers as 'the meaning of life is that which we give to it by our accomplishments'.

There is no mystery about the meaning of the FOTD however -- I enjoy fractals.  The next one will be posted in 24 hours.  Until then, take care, and are skeptics really satisfied believing that everything is an accident, that their unique identities 'just happened', and that this is all there is to it?

Jim Muth
jamth@mindspring.com


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

Deep_Blue_Network  { ; time=0:00:51.30-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-1.131856371048401/+0.27985603033438/\
  4.314619e+011/1/-129.75/0 params=5.4/-1.7/-5.4/\
  -7.3/0/500/0/0 float=y maxiter=1500 inside=255
  periodicity=6 mathtolerance=0.05/1
  colors=0007HM39HauJbpGclEdhBec9f_6gW4gS2mEAr1Hp7Fo\
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  jKjfEpb9v_8k`PpeLg`GZW0Uc }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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