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5

Both options PlotTheme -> None and PlotTheme -> "Classic" don't give the expected coloring for the points. However, you can set their color explicitly using PlotStyle -> Directive[PointSize[0.03], ColorData[1][1]]: ListPointPlot3D[ Partition[Flatten[Table[l u1 + p u2 + q u3, {l, -3, 3}, {p, -3, 3}, {q, -3, 3}]], 3], PlotRange -> {{-1, 1}, ...


3

The problem seems to be the setting "DefaultPlotStyle" -> Automatic in the Method option in the plot theme: Charting`ResolvePlotTheme["Classic", ListPointPlot3D] (* {AxesStyle -> Directive[GrayLevel[0], AbsoluteThickness[0.2]], BaseStyle -> Automatic, FaceGridsStyle -> Automatic, LabelStyle -> {FontFamily -> "Times"}, Method ...



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