> > 1) anti-aliasing (b appears to be POV AA method 1)
>
> I know. It doesn't seem as good as the Bryce anti-aliasing.

But it's easy to improve:
+AM2 +A0.15 +R2 -J

> Bryce is the one with soft reflections. I wish I knew of a way
> of doing that in POV.

Try this:

global_settings { assumed_gamma 1 max_trace_level 3 }
#default { finish { ambient .025 brilliance 1.5 } }

camera { location <0,11,-18> look_at 2*y }
light_source { <-100,100,-100>,13000
 fade_distance 1 fade_power 2
 area_light x*23,y*23,4,4 adaptive 1 circular orient
}

#local Input=texture {
 pigment { rgb .3 }
 finish { reflection .5 }
};

#local Blur_Layers=32;

#declare Blur_Tex=texture { average texture_map {
 #local Count=0;
 #local r_stream=seed(0);
 #while(Count<Blur_Layers)
  [ 1 Input normal { bumps scale 500
   translate 150*rand(r_stream) } ]
  #local Count=Count+1;
 #end
}};


sphere { 5*y,5
 pigment { rgb .9*y }
 finish { specular .2 roughness .005 }
}

plane { y,0 texture { Blur_Tex } }

// .........

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