First, define

data = Flatten[
  Table[{x, y, z, -N@HeavisidePi[1.1 x]}, {x, -1, 1, 0.1}, {y, -1, 1, 
    1}, {z, -1, 1, 1}], 2]

In which I used -N@HeavisidePi[1.1 x], its plot is

enter image description here

If I plot this

ListSliceDensityPlot3D[data, {"XStackedPlanes", Subdivide[-1, 1, 20]},
  PlotLegends -> Automatic]

This will gives

enter image description here

This is right.

However If I plot only two surface at x=-0.5 and x=0.5

ListSliceDensityPlot3D[data, {"XStackedPlanes", {-0.5, 0.5}}, 
 PlotLegends -> Automatic]

This will give wrong plot

enter image description here

Only plot one surface is also not right.

ListSliceDensityPlot3D[data, {"XStackedPlanes", {-1}}, 
 PlotLegends -> Automatic]

enter image description here

What is wrong?

I am using Mathematica

  • $\begingroup$ Definitely a bug, you can use Table[] though, that works. $\endgroup$ – Feyre Aug 7 '16 at 14:57
  • $\begingroup$ @Feyre Hi, Feyre. What do you mean by using Table[]? $\endgroup$ – matheorem Aug 7 '16 at 15:41
  • $\begingroup$ It seemed my solution just made the two bugs interfere. To be honest, I don't really think ListSliceDensityPlot3D is designed for these circumstances, but I'd report it as a bug. $\endgroup$ – Feyre Aug 7 '16 at 16:57
  • $\begingroup$ @Feyre Thank you for reporting, Feyre. $\endgroup$ – matheorem Aug 8 '16 at 2:35

As a workaround to this bug, you can specify a color function directly and turn ColorFunctionScaling off.

 {cf = ColorData[{"M10DefaultDensityGradient", {-1, 0}}]},
 ListSliceDensityPlot3D[data, {"XStackedPlanes", {-0.5, 0.5}},
  PlotLegends -> BarLegend[{cf, {-1, 0}}],
  ColorFunction -> cf,
  ColorFunctionScaling -> False]

Mathematica graphics

  • $\begingroup$ Thank you JasonB. I just noticed this post mathematica.stackexchange.com/q/97596/4742 Somehow, I think the problem in that post is quite similar to mine, maybe they are connected. This kind of bug is such a trap! They could easily mislead us into drawing wrong conclusion if we trust Mathematica. $\endgroup$ – matheorem Aug 9 '16 at 6:38

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