Fractal visionaries and enthusiasts:

To kick off a new year of FOTD images, we return to the parent fractal of the fuzzy image of two days ago, which was created by the expression Z^(1.75)+C.  This parent has a disconnected minibrot lying some distance southwest of the main body.  The image of two days ago is located near this minibrot.  The parent also has a smaller minibrot located much closer to the northeast side of its main body.  Today's image is located in a kind of valley in this smaller, closer minibrot.  The name "Etched in Numbers" is true of all fractals, and has no particular significance to today's fractal.

I have been searching the Mandeloids with exponents between 1 and 2 for quite a few years, in the hope that some unexpected treasure might lie hidden in one of them.  So far the treasure has eluded me, but I continue searching.  Who knows, one day I might find it.

Today's image is hardly a treasure, but it's worth a rating of a 7, which makes the calculation time of 3 minutes almost worth the effort.  The calculation may be totally done away with however by viewing the finished image on the currently active FOTD web site at:

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

And don't forget to keep checking the original FOTD web site at:

http://www.nahee.com/FOTD/

Friday brought thick clouds but warmer temperatures to Fractal Central.  The temperature of 46F +8C was not quite warm enough for the fractal cats however, and they spent half the afternoon on the shelf over the heat.  My day was pretty settled, as was FL's day also.

In the afternoon I spent an hour or so on the internet, checking 'Boltzmann brains', which is just about the most ridiculous idea our over-educated scientists have come up with -- so far, that is.  I'll have much to say about these hypothetical creatures lurking in outer space in future FOTD discussions.  The next FOTD will be posted in 24 hours.  Until then, take care, and is that a disembodied brain coming up behind you?  (We cannot prove that they are not there.)

Jim Muth
jamth@mindspring.com


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

Etched_in_Numbers  { ; time=0:02:59.98-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.6043991509829967/+0.5801826859547423\
  /1.876538e+007/1/-17.5/0 params=1.75/0/11/0 float=y
  maxiter=1800 inside=0 logmap=247
  colors=000ACIADIAELAGNAIPAKRAMTAOVAQXAS_AUaAWcASeA\
  ZgAYiAM_AUfASbAQZAOUAKQAHMADHAADA69A35B69C9CCCGDEJ\
  DHMEKQENTFPXFS_GVbGYfH_iHbmIepIgsJitKjtLktMmtNntOo\
  tUqtcrumsvttwzuxzvyzwzzxzzyzzzzVJqUHqUGqTErTDrSBrS\
  AsR8sR7sS9qTApUCoVDmWElXGkYHiZIh_Kg`LeaNdbOccPadR`\
  eS_eTZbUX_UVYUUVVSTVQQVPeNGdMJcLNaKQ`JU_HXYG`XFcWE\
  gVDjRCgOBeLAbH9`E9YB8W77T46R66PI7SL8UP8WT9Y_A_hAaq\
  BcpBejAbdA_YAYS9VR9SQ9QO9NN8KL8IL8FJ8CI7AH77G74G72\
  IB7LEBNHGQKKTNPVQTXTYYWa_YZa_XbaVdbSfdQgfOihMkiJlk\
  HnmFonDlkFihHfeIccKa`LZYNWWOTTQQQSONTLLVIIWFFYDDZG\
  MUJVQMbMOcNQdNReNTfNUgOWhOXiOZiO`jPakPclPdmzznQgoz\
  zpQjpzznPilzzjNiizmgMieLidKibKh`JhcIhYHhcHhVGhcFhR\
  EhcEgNDfKDeHCdECcBBc8BzS9zQAzcAzcAzcBzcBzhBzKDzmEz\
  SFzWGzZHzbJzfKzjLznMzqNzpOzoPzzPzzQzzQzzmzzmzzmzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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