Fractal of the Day
by Jim Muth

The Brot That Was Not ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- October 02, 2008   (Rating 8)

Fractal visionaries and enthusiasts:

Today's image is named "The Brot That Was Not".   I gave it this name because, when the parent fractal is rendered in the usual manner, there is no minibrot at all at this particular location on the X-axis.   Nothing is there but the flat disks that fill the image.   The minibrot doesn't appear until the scene is rendered with the inside set to 'atan'.   Another reason for the name is that the minibrot is not quite all there.   A sizable chunk has been taken out of the area on the negative X-axis beyond Scepter Valley.

I spotted the elusive midget when I noticed a certain symmetry at this point in the parent fractal, which divides the M-set by (Z^(-0.1)+0.1).   Actually, I'm not sure what the formula does.   It makes little sense to me.   But it creates some very interesting fractals, so who cares about exactly what is going on.   The rating of an honorable 8 is not to be sneezed at.

The ephemeral minibrot takes up almost the entire frame.   The mass of bubbles fizzing around it almost reminds me of a glass of ginger ale.   And the calculation time of a mere 19 seconds has hardly been exceeded for brevity.   The ultimate in convenience is to view the finished image on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

With a temperature of 61F 16C, Wednesday was too chilly and too cloudy to be anywhere close to perfect here at Fractal Central.   The brief but heavy shower that passed over in mid-afternoon did not help things.   The fractal cats weathered the rain by ignoring it.   My day was acceptable.

The next FOTD will be ready in 24 hours.   Until then, take care, and let your fractal guide you to enlightenment.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

TheBrotThatWasNot  { ; time=0:00:19.93-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=DivideBrot5a maxiter=1600 symmetry=xaxis
  center-mag=-0.066769/0/8.541667 passes=1 inside=atan
  params=-0.1/0.1/-14/0 float=y periodicity=10
  colors=0000EN0GR0KS0NSOQPSTRWWTZ_VacYdg_fkagmcfnee\
  ngdmhcljbkkajlaij`gh`dg_ae_ZcZWbZT`ZQZZOYZLW_IU_FT\
  _DR`APa7Ob4Mb2Ld4Me6Nf7Oh9PiAQjCRkDSmFTnGUoIUpJVrL\
  WsMXtOYuPZsR_rS`mUahUbcUcZUdUUcPUaKU_FUYAYW5aU1dS1\
  hQ1kO5jM9iPDiWGhbKhiOgpRgvShtSirTjpTknUklUljVmhVnf\
  WodWobXp`XqZYrXYrWWpWUoWTnWRmWPlWOkWMjWKiWJhWHfWGe\
  WEdWCcWBbW9aW7`W6_W4ZW3YW9_VE`VKaUPbUVdU_eTefTjgTj\
  fRjfQjfPjfOjfMjeLjeKjeJjeHjeGjeFjdEjdDjdBjdAjd9jc8\
  jc6jc5jc4jc3jc2ga3e_4cY5`W6ZU7XS8VQ9SOAQMBOKCMIDJG\
  EHEFFCGDBGHEJKGLOINRKPVMRYOTaQWdSYhU_kWaoYcr_enZbj\
  Y`fYYbXWZXTVWRRVONVMJUJFUHBTE8TC9RF9QH9OJ9NL9LN9KP\
  9JR9HT9GVAEXADZAB`AAbA9dA7fA6hA4jA3lA2nD5lF7jI9hKB\
  gMEePGcRIbTK`WNZYPX_RWbTUdWSfYRi_PkaNmcMldPkeRkfTj\
  gVjhXiiZhj`hkbgldgmgfnifokepmdqodrqcssctubuwbvyUhp\
  LWhCJ_36S7BUAGVELWHPYLUZOZ_RcaVgbYlcaqedvfgwgiwhkw\
  imwjowkqwlswmuwnwwoxwpywq }

frm:DivideBrot5a   { ; Jim Muth
  z=0, c=pixel, a=real(p1)-2, d=real(p2)+16
  b=imag(p1)+0.00000000000000000001:
  z=sqr(z)/(z^(-a)+b)+c
  |z| < d }

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


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Go to my Fractal Links webpage,
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O's Fractal Art Gallery.

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