Could not think of an easy way using the GIMP.

Actually, the only "more or less" easy way I could think off is using
a graphic turtle I am making in GIMP-Python.

Since that would be complicated I made an extra-gimp solution for you.
An Postscript Snippet.

Just paste the following postscript code in a plain text file, which name ends in .ps , edit the number of rays to the desired one,
and them just open it as an image in the GIMP.


Enjoy it!

__

%!PS
%%BoundingBox: 0 0 1000 1000

%(C) by Joao S. O. Bueno - 2003
%Free to use, change and re-distribute as you like.
%Created for posting at gimp-user mailing list, aug-05-2003
%Creates a radial pattern


/numrays 8 def /step 360 numrays div def 500 500 translate

360 step div cvi
  {
   newpath
   0 1000 moveto
   0 0 lineto
   step 2 div rotate
   0 1000 lineto
   closepath
   fill
   step 2 div rotate
  } repeat

showpage


Eric Pierce wrote:
This should be easy, but I just can't think how to do it.

All I want to create is a radial burst.  Sharp black and white lines
evenly spaced emanating from the center.

Exactly like the old Japanese flag but without the circle in the middle.
See here:
http://www.japanorama.com/images/navy_army_ww2_flag.gif

I've been wracking my brains for the last several hours, and digging
through the plug-ings, but I can't come up with anything.  It seems like
it'd be so easy...

Any help would be much obliged!
Eric Pierce

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