Fractal visionaries and enthusiasts:  

Perhaps we should rename the FOTD the FOTM -- "Fractal of the Month".  It's been a couple weeks since the last image appeared.  But despite appearances I am still searching for fractals in between doing other things such as drawing by hand the other-worldly surreal landscapes I often try to capture in fractal images.

Today's image is an odd-plane scene in Seahorse Valley of the Mandelbrot set.  I chose it as today's FOTD because of the prominent spiral that changes direction as it crosses the valley.  As is usually the case in these odd-plane images, some stretching and skewing was needed to bring the scene to recognizable proportions.

The rather poetic name, "The Reluctant Fairy", has nothing to do with the image.  It simply came to mind when I shut off my rational thinking, something FL claims I often do.

The art rates a nominal 6 because of the not very exceptional coloring; the math rates a 7 because of the curious two-way spiral.  The calculation time of 4-1/2 minutes might be a little more than the image is worth.

Miserable winter weather prevailed here at Fractal Central today, with a steady light rain, a temperature of 32F 0C and spotty icy spots making both walking and driving treacherous.  The fractal cats, who neither walk outdoors nor drive anywhere, were unconcerned.  The fractal humans passed the day indoors, avoiding the outside weather.

I haven't the foggiest idea when the next FOTD (FOTM) might appear, but I have a good feeling it will eventually show up.  Until whenever, take care, and spiritual bankruptcy goes far deeper than simply not believing in God.

Jim Muth
jimmuth@earthlink.net


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

TheReluctantFairy  { ; time=0:04:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrotSqr passes=1
  center-mag=0/0.521639/12.12754/0.4453/90/68.6631407
  params=10/90/0/90/-0.7492/0/0/0/0/0 float=y
  maxiter=4800 inside=0 logmap=32 periodicity=6
  colors=0003ia7eaB`aFXaJVgNUdRTaVSZZRWbQTfPQjONnNKr\
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  a2_Z2`SBY5LMMJWaHdpBoqFmqIkrLirOgsResUdsYbt``tcZug\
  XskVsocssmwwzwwzwwzzwzzwz }

frm:SliceJulibrotSqr   {; 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*z+c
  |z|< esc }

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