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May 27, 1997: Killer Mosquito May 26 May 28 1997 FOTD Home

mosquito

Fractal visionaries:

I'm following with interest the progress of the collaborative fractal montage that we're trying to get going.  But I'm not sure exactly what we'll have if and when the thing actually comes to fruition.

When I first read of the plan, I pictured an immense printed image of the Mandelbrot set -- an image with a resolution of something like 250,000 x 250,000 pixels -- large enough and with enough detail to cover a soccer field without losing sharpness.  Such an item, if we could overcome the obstacles, would surely be newsworthy, and perhaps raise the public awareness of the basically unexplored world of fractal geometry.  The higher the public interest in fractals, the easier it will be for us to earn some decent money.

And speaking of decency, today's fractal, named Eruption, is a pretty decent one, and it's also a pretty good one.  It's made with one of my experimental Newton's formulas.  When I first saw it, it reminded me of an erupting volcano in Hawaii.  It no longer seems very volcano-like, but the name has stuck.  So, for what it's worth, here is my erupting volcano.  The draw time is 10 minutes or so.

Tomorrow, we'll go back to the good old Mandelbrot set, and look at an old midget from a new angle.

Jim Muth
jamth@mindspring.com


START PARAMETER-FORMULA FILE FOR 19.6=============================

Killer_Mosquito    { ; time=0:00:39.05-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=MandNewt05 function=log passes=1
  center-mag=-1.45284/0/0.2180685/1/90/0
  params=1.5/0/1/0/1e-031/0 float=y maxiter=250
  inside=bof60 logmap=yes periodicity=0
  colors=0008Gf7Gh6Gj5Gk4Gm3Gn4Fl5Ej5Eh6Dg6Ce7Cc7Ba8\
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  d8ib9g_AfYBeVDdTEbQFaOG`LI_JJYGKXJMYLOZOQ_QS`TUaVW\
  aYYb__cbaddcegefBGaAGc9Gd }

frm:MandNewt05 {; Jim Muth
z=c=fn1(pixel):
a=z^2+(c-p1)*z-c
b=p2*z^2+c-1
z=z-1*a/b
p3 <= |a| }

END PARAMETER-FORMULA FILE FOR 19.6===============================