SliceDensityPlot3D

SliceDensityPlot3D[f,surf,{x,xmin,xmax},{y,ymin,ymax},{z,zmin,zmax}]

generates a density plot of f over the slice surface surf as a function of x, y, and z.

SliceDensityPlot3D[f,surf,{x,y,z}reg]

restricts the surface to be within region reg.

SliceDensityPlot3D[f,{surf1,surf2,},]

generates density plots over several slices.

Details and Options

  • The following basic slice surfaces surfi can be given:
  • Automaticautomatically determine slice surfaces
    "CenterPlanes"coordinate planes through the center
    "BackPlanes"coordinate planes at the back of the plot
    "XStackedPlanes"coordinate planes stacked along axis
    "YStackedPlanes"coordinate planes stacked along axis
    "ZStackedPlanes"coordinate planes stacked along axis
    "DiagonalStackedPlanes"planes stacked diagonally
    "CenterSphere"a sphere in the center
    "CenterCutSphere"a sphere with a cutout wedge
    "CenterCutBox"a box with a cutout octant
  • SliceDensityPlot3D[f,{x,xmin,xmax},] is equivalent to SliceDensityPlot3D[f,Automatic,{x,xmin,xmax},] etc.
  • The following parametrizations can be used for basic slice surfaces:
  • {"XStackedPlanes",n},generate n equally spaced planes
    {"XStackedPlanes",{x1,x2,}}generate planes for x=xi
    {"CenterCutSphere",ϕopen}cut angle ϕopen facing the view point
    {"CenterCutSphere",ϕopen,ϕcenter}cut angle ϕopen with center angle ϕcenter in plane
  • "YStackedPlanes", "ZStackedPlanes" follow the specifications for "XStackedPlanes", with additional features shown in the scope examples.
  • The following general slice surfaces surfi can be used:
  • expr0implicit equation in x, y, and z, e.g. x y z-10
    surfaceregiona two-dimensional region in 3D, e.g. Hyperplane
    volumeregiona three-dimensional region in 3D where surfi is taken as the boundary surface, e.g. Cuboid
  • The following wrappers can be used for slice surfaces surfi:
  • Annotation[surf,label]provide an annotation
    Button[surf,action]define an action to execute when the surface is clicked
    EventHandler[surf,]define a general event handler for the surface
    Hyperlink[surf,uri]make the surface act as a hyperlink
    PopupWindow[surf,cont]attach a popup window to the surface
    StatusArea[surf,label]display in status area when the surface is moused over
    Tooltip[surf,label]attach an arbitrary tooltip to the surface
  • SliceDensityPlot3D has the same options as Graphics3D, with the following additions and changes:
  • AxesTruewhether to draw axes
    BoundaryStyleAutomatichow to style surface boundaries
    BoxRatios{1,1,1}bounding 3D box ratios
    ClippingStyleNonehow to draw values clipped by PlotRange
    ColorFunctionAutomatichow to color the plot
    ColorFunctionScalingTruewhether to scale the arguments to ColorFunction
    PerformanceGoal$PerformanceGoalaspects of performance to optimize
    PlotLegendsNonelegends for color gradients
    PlotPointsAutomaticinitial number of samples for the function f and slice surfaces surfi in each direction
    PlotRange{Full,Full,Full,Automatic}range of f or other values to include
    PlotTheme$PlotThemeoverall theme for the plot
    RegionFunction(True&)how to determine whether a point should be included
    TargetUnitsAutomaticdesired units to use
    WorkingPrecisionMachinePrecisionthe precision used in internal computations
  • ColorFunction is by default supplied with the scaled value of f.
  • RegionFunction is by default supplied with x, y, z and f.

Examples

open allclose all

Basic Examples  (2)

Plot the density of on coordinate planes through the center of the plot range:

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Plot the density on the surface :

In[1]:=
Click for copyable input
Out[1]=

Scope  (19)

Options  (35)

Applications  (16)

Properties & Relations  (5)

Possible Issues  (1)

See Also

ListSliceDensityPlot3D  SliceContourPlot3D  DensityPlot  DensityPlot3D

Introduced in 2015
(10.2)