Strange, I don't get those artifacts.

  However, what worries me the most is that this heightfield should
be smooth but isn't. The grid is clearly visible and shouldn't. There's
something wrong here.
  It looks better than when rendered with 3.5, but I still think the grid
should not be visible.

  Does anyone know what's going on here?

  Compare it to this:

camera {
  location <.8,1,-.5>
  look_at <.5,0,.5>
}

#include "shapes.inc"
object
{ HF_Square(function {pattern{bozo scale 1/3}}, no, no, 32, yes, "", 0, 1)
  scale <2,.5,2>/2
  pigment {rgb 1}
}

light_source {
  <.5,3.5,-.5>*0 + <-1,1,-1>*999
  rgb 1
}


-- 
#macro M(A,N,D,L)plane{-z,-9pigment{mandel L*9translate N color_map{[0rgb x]
[1rgb 9]}scale<D,D*3D>*1e3}rotate y*A*8}#end M(-3<1.206434.28623>70,7)M(
-1<.7438.1795>1,20)M(1<.77595.13699>30,20)M(3<.75923.07145>80,99)// - Warp -

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