Fractal visionaries and enthusiasts:

Today’s FOTD is late.  This usually means things are unusually busy here at FC, as is true at the present time.

The name of today’s image, Square root of Nothing”, refers to the power of Z that created the parent fractal.  This parent fractal resembles a Mandelbrot set with a triangular main bud on the northwest side of the main bay and a zigzag filament extending out from the bud, and terminating some distance to the northwest.  A cut-off nest of filament fragments lies some distance to the east of the main fractal.  Today’s scene is located in this cut-off nest of filaments.

Due to a shortage of time, I was unable to find the best coloring for the image, but the colors I did find are sufficient to show the nature of the scene and allow a rating of a 6.

The calculation time of 3 minutes should cause no one undue distress.  To make matters even better, the pre-calculated image may be viewed at the FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original web site may be accessed at:

      http://www.Nahee.com/FOTD/

Settled and near normal conditions prevailed here at FC on Sunday, with partly cloudy skies and a temperature of 50F 10C.  Monday brought similar temperatures, but was spoiled by morning rain and afternoon clouds.  The fractal cats took it all in stride.  The next FOTD is scheduled in about 32 hours.  Who knows if it will actually be ready in time?

Jim Muth
jamth@mindspring.com


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

SquareRootOfNothin { ; time=0:03:05.16-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=+1.294065337556993/+0.8218935124636804/\
  7.008061e+008/1/70/0 params=1.4142/0/2/0 float=y
  maxiter=2400 inside=0 logmap=198 periodicity=6
  colors=000pcgmcckc_icWg‘Se‘Ob‘K“KZ‘KX‘KV‘JU_IT_HV\
  _AS_FPZJMYNJXRHVVEUZBTb8Sf6Rj8Vk9YkA‘kCckDgkEjkGmk\
  HpkIskGrjEriDrhBrg9rf8re6rd5rd6df6Sg6Eh61iGFkPTmZf\
  ogtqfomejideecaacXZbSVaOR‘JN_EJ_AGd8Jh7Ml5Pp4St3Vp\
  2Mm1Dj04nADrKLvUTyc‘v‘XsYUpVRmSNjQKgNHdKDaHAaE7kC4\
  nP6q‘7tdGwhOzlXzpdzslzvrzzzuxzvwqwulusjsqiqoirmism\
  hslhtlhtkgukgujgujgpgdleahbZd‘W‘YTXWQTTNPRKUXQZaVc\
  f_hkempjruowztoqjhhaa_SVRJOI9H90BJ56T91aD8YIFUNLQS\
  SMXZIadEeTlWVmVWmUXmTYmTZmS_mR‘mQamQbmPcmOdmObjNag\
  N_dNZaMXZMWWMUUMTRLROLQLLOIKNFKLCKKAKM9IO8HQ7FS7EU\
  6DW5BY4A_49Y9DXEHWJLVOPUTTTYXSb‘RgdTfeVffXfgYfh_fi\
  afjbfkdflffmgfnifokfplfp9OIDEAH43M62Q82UA2ZC2bE2fG\
  2gN6hUAi‘EjfIkmMltQmzU2_GEUSQOc‘IoaNkbRgcVdcZ‘dbYe\
  fUejQfnNgrJgvGjpKlkNofQqaTsXWmmUmmSmmQmmOmmMmmKmmI\
  mmGgrEfrCerBgrGhrKirPjrTkrYmzanzfozjpzoqzsmzjmzamz\
  RmzGmz5mzoszsyzwvzstzorzk }

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