You need to tell POV-Ray to antialias every pixel if you want all the
thin lines to be visible. It's slow, but at least it should work.
  A good way to achieve this is to use "+a0.0 +am2" settings for extra-good
quality.

  By the way, there are some errors which you might want to fix if you
want a perfect go board.

  Firstly, the squares are not square. The distance from the middle of
a line to the middle of the next line is exactly 22 mm widthwise and
23.7 mm lenghtwise. The thickness of the lines should be approximately 1 mm.
  The total width of the goban should be 424.4 mm and the total length
should be 454.5 mm.

  (Unlike chess, the dimensions of a go board are well-defined and
standardized. This is because go stones come with a standard size.)

  The diameter of the stones should be approximately 22.5 mm. This is 0.5 mm
more than the line spacing widthwise and it's intentional.
  For rendering purposes this can be a bit cumbersome, so I suppose it's
not such a big deal if your stones are 22 mm.

  Secondly, your board lacks four hoshi-markers.

-- 
plane{-x+y,-1pigment{bozo color_map{[0rgb x][1rgb x+y]}turbulence 1}}
sphere{0,2pigment{rgbt 1}interior{media{emission 1density{spherical
density_map{[0rgb 0][.5rgb<1,.5>][1rgb 1]}turbulence.9}}}scale
<1,1,3>hollow}text{ttf"timrom""Warp".1,0translate<-1,-.1,2>}//  - Warp -

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