Determining Automatic Parameters used by Mathematica [duplicate]

When you use plotting functions like ContourPlot3D, there are lots of parameters that are left as Automatic if you do not specify them. I was wondering if there was a way to find out what value was used in these cases.

For example, with my ContourPlot3D call, I noticed that there were some missing features. I know I can increase PlotPoints to get more finely grained samples, but it would be helpful if I could find out what Mathematica used originally (by default) so I can choose a more appropriate value. I know I can use trial and error to get a suitable value, but since ContourPlot3D takes a few minutes to evaluate for me, this method is not ideal.

• Unfortunately AbsoluteOptions seems to be rather limited. It provides for instance the PlotRange, the ViewPoint and some other things, but not PlotPoints. Sep 28, 2015 at 18:16
• There's no general way to do this, unfortunately. In some cases it can be rather frustrating. As it is, this question cannot be answered well. I suggest you ask about specific options that you are interested in. Sep 28, 2015 at 18:19

aa = ContourPlot[Cos[x] + Cos[y], {x, 0, 4 Pi}, {y, 0, 4 Pi}]

Options[aa]


{DisplayFunction -> Identity, AspectRatio -> 1, DisplayFunction :> Identity, Frame -> True, FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, GridLinesStyle -> Directive[GrayLevel[0.5, 0.4]], Method -> {"DefaultBoundaryStyle" -> Automatic}, PlotRange -> {{0, 4 \[Pi]}, {0, 4 \[Pi]}}, PlotRangeClipping -> True, PlotRangePadding -> {{Scaled[0.02], Scaled[0.02]}, {Scaled[0.02], Scaled[0.02]}}, Ticks -> {Automatic, Automatic}}

or...

AbsoluteOptions[aa]


{AlignmentPoint -> Center, AspectRatio -> 1., Axes -> {False, False}, AxesLabel -> None, AxesOrigin -> {0., 0.}, AxesStyle -> {None, None}, Background -> None, BaselinePosition -> Automatic, BaseStyle -> {}, ColorOutput -> Automatic, ContentSelectable -> Automatic, CoordinatesToolOptions -> Automatic, DisplayFunction -> Identity, Epilog -> {}, FormatType -> TraditionalForm, Frame -> {True, True, True, True}, FrameLabel -> None, FrameStyle -> {{GrayLevel[0.], AbsoluteThickness[0.25]}, {GrayLevel[0.], AbsoluteThickness[0.25]}, {GrayLevel[0.], AbsoluteThickness[0.25]}, {GrayLevel[0.], AbsoluteThickness[0.25]}}, FrameTicks -> {{}, {}, {}, {}}, FrameTicksStyle -> {}, GridLines -> {{}, {}}, GridLinesStyle -> Directive[GrayLevel[0.5, 0.4]], ImageMargins -> 0., ImagePadding -> All, ImageSize -> Automatic, ImageSizeRaw -> Automatic, LabelStyle -> {}, Method -> {"DefaultBoundaryStyle" -> Automatic}, PlotLabel -> None, PlotRange -> {{0., 12.5664}, {0., 12.5664}}, PlotRangeClipping -> True, PlotRangePadding -> {{Scaled[0.02], Scaled[0.02]}, {Scaled[0.02], Scaled[0.02]}}, PlotRegion -> Automatic, PreserveImageOptions -> Automatic, Prolog -> {}, RotateLabel -> True, Ticks -> {{}, {}}, TicksStyle -> {}}