Fractal visionaries and enthusiasts: 

Today's stellar but slightly ominous image lies in the East Valley of the parent fractal that comes about when the expression Z^(2.01)+C is iterated 1.5 levels up the complex logarithmic hyperladder with no function applied.  At this not-very-impressive height the parent resembles a Mandelbrot set rotated almost 180 degrees so that East Valley falls close to the negative X-axis, and its beat-up main bud and main spike lie near the positive X-axis.

In today's parent, East Valley has been broadened into a wedge, with fractal debris scattered along the sharp northern edge of this wedge.  Today's image lies in this debris.  I'll check the beat-up main bud and spike in a future FOTD.

Strangely, there is very little in the image to reveal that it lies in an East Valley.  Instead, we see finely-divided arcs and crescents surrounding the central minibrot.  I rated the art worth at a superior 8.5, mostly because of my coloring, most of which was created randomly by the Fractint program.  I rated the math interest at a 7, which might be a bit liberal for a math trick ten years old.

The name "The Shadow Arises" does not imply the return of that old radio character who could make himself invisible.  It refers to the unusually shadowy appearance of the dark green elements surrounding the minibrot.

The calculation time of 1-1/5 minutes is reasonably fast, but a trip to one of the web sites will make the brief wait even briefer.

A little sun, lots of clouds and a high temperature of 61F 16C brought rather pleasant conditions to Fractal Central today.  The fractal cats had a quiet day except for the time Jasmine sneaked up on Nico and took a swipe at his tail.  In return, he took a harmless swipe at her to warn her away.  The fractal humans had a near average day.

The next FOTD will be posted within a certain time.  To find out how certain, check back at regular intervals.  Until whenever, take care, and if it can be scientifically demonstrated to be a fact, it might even be true.

Jim Muth
jimmuth@earthlink.net


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

The_Shadow_Arises  { ; time=0:01:12.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-0.261378641122/-0.001444041117/\
  1.593933e+007/1/161/0 params=2.01/0/1.5/0 float=y
  maxiter=1500 inside=0 logmap=165 periodicity=6
  colors=00045H5Gg65_70f85Y95RA5TB5VC5XD5ZE5`F5bG5dH\
  5fH3hL7eP7cT7`X7Z`6Vc6Sg6Ok6Lo5Hs5EA5zA5wA6t98qBAn\
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  61C30900700801931642752573B83BA4CB4CE5DH5DK6EN6FQ7\
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  7z46z35z34z23z12zqLzqKzqK }

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