In v10.1 under Windows x64 I experience no "z-fighting" in this example when using the "BSPTree" rendering method. This method may be individually selected using BaseStyle

data = {{1, 1, 1, 1}, {1, 0, 3, 1}, {2, 0, 0, 1}};
plot = ListPlot3D[data, Mesh -> None, InterpolationOrder -> 0, Filling -> Bottom, 
  FillingStyle -> {Opacity[1]}, ColorFunction -> "SolarColors", 
  ViewPoint -> {Pi, Pi, 5}]

Show[plot,
 BaseStyle -> 
  RenderingOptions ->
   {"Graphics3DRenderingEngine" -> "BSPTree"}]

The same Option may be given in ListPlot3D but I separated it with Show for clarity.

It may also be set globally for a session with:

SetOptions[$FrontEndSession, 
  RenderingOptions -> {"Graphics3DRenderingEngine" -> "BSPTree"}]

Or persistently by changing $FrontEndSession to $FrontEnd in the code above.

Other cases where the rendering method is important:

• Unintended edge extensions in 3D Cube rendering
• Opacity renders lines incorrect in certain viewing angles
• Weird behaviour of multiple transparent Raster3D objects in one Graphics3D

And one I just found which basically duplicates this question:

• Possible Bug in ArrayMesh

In v10.1 under Windows x64 I experience no "z-fighting" in this example when using the "BSPTree" rendering method. This method may be individually selected using BaseStyle

data = {{1, 1, 1, 1}, {1, 0, 3, 1}, {2, 0, 0, 1}};
plot = ListPlot3D[data, Mesh -> None, InterpolationOrder -> 0, Filling -> Bottom, 
  FillingStyle -> {Opacity[1]}, ColorFunction -> "SolarColors", 
  ViewPoint -> {Pi, Pi, 5}]

Show[plot,
 BaseStyle -> 
  RenderingOptions ->
   {"Graphics3DRenderingEngine" -> "BSPTree"}]

The same Option may be given in ListPlot3D but I separated it with Show for clarity.

It may also be set globally for a session with:

SetOptions[$FrontEndSession, 
  RenderingOptions -> {"Graphics3DRenderingEngine" -> "BSPTree"}]

Or persistently by changing $FrontEndSession to $FrontEnd in the code above.

Other cases where the rendering method is important:

• Unintended edge extensions in 3D Cube rendering
• Opacity renders lines incorrect in certain viewing angles
• Weird behaviour of multiple transparent Raster3D objects in one Graphics3D

And one I just found which basically duplicates this question:

• Possible Bug in ArrayMesh

In v10.1 under Windows x64 I experience no "z-fighting" in this example when using the "BSPTree" rendering method. This method may be individually using BaseStyle

data = {{1, 1, 1, 1}, {1, 0, 3, 1}, {2, 0, 0, 1}};
plot = ListPlot3D[data, Mesh -> None, InterpolationOrder -> 0, Filling -> Bottom, 
  FillingStyle -> {Opacity[1]}, ColorFunction -> "SolarColors", 
  ViewPoint -> {Pi, Pi, 5}]

Show[plot,
 BaseStyle -> 
  RenderingOptions ->
   {"Graphics3DRenderingEngine" -> "BSPTree"}]

The same Option may be given in ListPlot3D but I separated it with Show for clarity.

It may also be set globally for a session with:

SetOptions[$FrontEndSession, 
  RenderingOptions -> {"Graphics3DRenderingEngine" -> "BSPTree"}]

Or persistently by changing $FrontEndSession to $FrontEnd in the code above.

Other cases where the rendering method is important:

• Unintended edge extensions in 3D Cube rendering
• Opacity renders lines incorrect in certain viewing angles
• Weird behaviour of multiple transparent Raster3D objects in one Graphics3D

And one I just found which basically duplicates this question:

• Possible Bug in ArrayMesh

In v10.1 under Windows x64 I experience no "z-fighting" in this example when using the "BSPTree" rendering method. This method may be individually selected using BaseStyle

data = {{1, 1, 1, 1}, {1, 0, 3, 1}, {2, 0, 0, 1}};
plot = ListPlot3D[data, Mesh -> None, InterpolationOrder -> 0, Filling -> Bottom, 
  FillingStyle -> {Opacity[1]}, ColorFunction -> "SolarColors", 
  ViewPoint -> {Pi, Pi, 5}]

Show[plot,
 BaseStyle -> 
  RenderingOptions ->
   {"Graphics3DRenderingEngine" -> "BSPTree"}]

The same Option may be given in ListPlot3D but I separated it with Show for clarity.

It may also be set globally for a session with:

SetOptions[$FrontEndSession, 
  RenderingOptions -> {"Graphics3DRenderingEngine" -> "BSPTree"}]

Or persistently by changing $FrontEndSession to $FrontEnd in the code above.

Other cases where the rendering method is important:

• Unintended edge extensions in 3D Cube rendering
• Opacity renders lines incorrect in certain viewing angles
• Weird behaviour of multiple transparent Raster3D objects in one Graphics3D

And one I just found which basically duplicates this question:

• Possible Bug in ArrayMesh