Fractal visionaries and enthusiasts:

Today's image is the third one created with an exponent of 1.05, though today it is positive Z rather than negative Z that we raise to the power of 1.05.  The parent fractal was created by calculating the expression Z^(1.05)+C at a level of 0.31... turns down the complex logarithmic hyperspiral with the 'recip' function applied.

The surprise in the image is the existence of a minibrot.  The minibrot lies at the center of a disorganized spiral, which is another surprise.  Most spirals appear boring because they continue unchanged all the way down to infinity; today's spiral however comes to a definite end at the central minibrot.

I named the image "Bare Singularity".  I almost named it 'neutron star', but the singularity name has more impact.  I'm not sure a bare singularity could actually exist.  Any singularity would necessarily have an event horizon around it, and would therefore lie unseen inside a black hole, but it is fun to try to imagine what a bare singularity might look like.

The rating of a 7 is about what the image is worth.  A little extra effort on the colors might have rased the rating to a 7-1/2.

The calculation time of 7 minutes starts to drag before the image is finished.  Avoid the dragging by viewing the image on the web site.

Light rain fell during the night here at Fractal Central, but by daybreak the sky was clear.  The rest of the day brought full sun with only a few passing clouds, and a temperature of 64F 18C.  The fractal cats approved of these conditions, at least during the times when they were not distracted by a large orange tomcat that wandered onto the back porch.  The world of the humans featured only routine stuff not worth reporting.

The next FOTD is due to be posted in 24 hours.  Most likely it will be posted on schedule.  Until then, take care, and if nothing can escape from an (almost) black hole, how does the gravity get out?

Jim Muth
jimmuth@earthlink.net


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

Bare_Singularity   { ; time=0:07:09.90-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-2.109365353519732/+2.80890231424387/\
  1.629783e+011/1/-85/0 params=1.05/0/-0.31034272286\
  14155/0 float=y maxiter=5000 inside=255 logmap=700
  periodicity=6 mathtolerance=0.05/1
  colors=000GWeXmjNdgGWe8Pb0Ha0AZ03X00V00W00W00W00W0\
  0W00W00W00X00X00X00X01X01X01X01Z02Z02Z02Z02Z03Z03Z\
  03Z03_05_05_05_05_06_06_06a06a07a07a07a07a08a08b08\
  b08b09b09b09b09b0Ab0Ad0Ad1Gl1Cd1Cd2Cm2Cd3De3De3De5\
  Me5Me6Me6Me5Md6Me6Me6Me7Me7Me7Me7Me8Me8Hl8Me8Gv99u\
  9Mu9GuAMuAMuA9uAMuCCuCEuCMuC9uDMuD9uDEuEMuEDuEHuEG\
  uGEuGEuGDuGCu8DuHAuHGuC8sH9uGHuDAuEJuDIuDAuCCmAImA\
  9o9Fo8Co8Do7Go6Ho6Io5Do2Cp3Do5Eo5EoLJo6GoLQh7Ao8Co\
  8Po9Do9IoASoAEoCOmCGmDHjDMjEIhELhGJgGJgHPeHMeLQeIN\
  eJNeJPeLPeLQeMQeMSeNSdNTdPTdPVdQVdQWdSVdSWeTWeTWfV\
  WfVXgWZgWXgXZhXZhZ_fZ_g_ag_agachabgbegbeidgodglehm\
  ejoglqglzhmzhpzjpzjozlozlozmozmozopxopxppxppxrpxrp\
  xsrxsrxurxurxvrxvsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxx\
  sxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsx\
  xsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxsxxs\
  xxsxxsxxsxxsxxsxxsxxsxzzz }

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