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Wolfram Language & System Documentation Center
ListContourPlot3D
  • See Also
    • ListSliceContourPlot3D
    • ContourPlot3D
    • ListContourPlot
    • RegionPlot3D
    • ListPlot3D
    • ListSurfacePlot3D
    • ListVectorPlot3D
  • Related Guides
    • Data Visualization
    • Tabular Visualization
    • Image Computation for Microscopy
    • See Also
      • ListSliceContourPlot3D
      • ContourPlot3D
      • ListContourPlot
      • RegionPlot3D
      • ListPlot3D
      • ListSurfacePlot3D
      • ListVectorPlot3D
    • Related Guides
      • Data Visualization
      • Tabular Visualization
      • Image Computation for Microscopy

ListContourPlot3D[farr]

generates a contour plot from an array farr with values farr[[i,j,k]] at points {k,j,i}.

ListContourPlot3D[{{x1,y1,z1,f1},{x2,y2,z2,f2},…}]

generates a contour plot from values fi at point {xi,yi,zi}.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Data  
Tabular Data  
Presentation  
Options  
Axes  
AxesLabel  
AxesOrigin  
Show More Show More
AxesStyle  
BoundaryStyle  
BoxRatios  
ColorFunction  
ColorFunctionScaling  
Contours  
ContourStyle  
DataRange  
ImageSize  
MaxPlotPoints  
Mesh  
MeshFunctions  
MeshShading  
MeshStyle  
PerformanceGoal  
PlotRange  
PlotTheme  
RegionFunction  
ScalingFunctions  
TargetUnits  
TextureCoordinateFunction  
TextureCoordinateScaling  
Ticks  
TicksStyle  
Neat Examples  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • ListSliceContourPlot3D
    • ContourPlot3D
    • ListContourPlot
    • RegionPlot3D
    • ListPlot3D
    • ListSurfacePlot3D
    • ListVectorPlot3D
  • Related Guides
    • Data Visualization
    • Tabular Visualization
    • Image Computation for Microscopy
    • See Also
      • ListSliceContourPlot3D
      • ContourPlot3D
      • ListContourPlot
      • RegionPlot3D
      • ListPlot3D
      • ListSurfacePlot3D
      • ListVectorPlot3D
    • Related Guides
      • Data Visualization
      • Tabular Visualization
      • Image Computation for Microscopy

ListContourPlot3D

ListContourPlot3D[farr]

generates a contour plot from an array farr with values farr[[i,j,k]] at points {k,j,i}.

ListContourPlot3D[{{x1,y1,z1,f1},{x2,y2,z2,f2},…}]

generates a contour plot from values fi at point {xi,yi,zi}.

Details and Options

  • ListContourPlot3D is also known as an isosurface or level set plot.
  • ListContourPlot3D constructs contour surfaces where the interpolated function has constant values d1, d2, etc.
  • For regular data, the function has value farr[[i,j,k]] at .
  • For irregular data, has value fi at .
  • It visualizes the surfaces where the region is the Cartesian product for regular data and the convex hull of {{x1,y1,z1},…,{xn,yn,zn}} for irregular data.
  • ListContourPlot3D[Tabular[…]cspec] extracts and plots values from the tabular object using the column specification cspec.
  • The following forms of column specifications cspec are allowed for plotting tabular data:
  • {colx,coly,colz,colf}plot column f against columns x, y and z
  • The contour surfaces plotted by ListContourPlot3D can contain disconnected parts.
  • By default, ListContourPlot3D shows each contour level as an opaque white surface, with normals pointing outward.
  • ListContourPlot3D by default shows three contour levels, equally spaced in f value.
  • With the option setting Contours->{f0}, ListContourPlot3D shows only the one contour level f=f0.
  • ListContourPlot3D has the same options as Graphics3D, with the following additions and changes: [List of all options]
  • Axes Truewhether to draw axes
    BoundaryStyle Automatichow to draw boundaries of regions
    BoxRatios {1,1,1}bounding 3D box ratios
    ColorFunction Automatichow to color contour surfaces
    ColorFunctionScaling Truewhether to scale arguments to ColorFunction
    Contours 3how many or what contour surfaces to show
    ContourStyle Whitethe style for contour surfaces
    DataRange Automaticthe range of coordinate values to assume for data
    MaxPlotPoints Automaticthe maximum number of points to include
    Mesh Automatichow many mesh lines in each direction to draw
    MeshFunctions {#1&,#2&,#3&}how to determine the placement of mesh divisions
    MeshShading Nonehow to shade regions between mesh lines
    MeshStyle Automaticthe style for mesh divisions
    MethodAutomaticthe method to use for interpolation and data reduction
    PerformanceGoal $PerformanceGoalaspects of performance to try to optimize
    PlotLegendsNonelegends for surfaces
    PlotRange {Full,Full,Full,Automatic}the range of values to include
    PlotTheme $PlotThemeoverall theme for the plot
    RegionFunction (True&)how to determine whether a point should be included
    ScalingFunctions Nonehow to scale individual coordinates
    TextureCoordinateFunction Automatichow to determine texture coordinates
    TextureCoordinateScaling Truewhether to scale arguments to TextureCoordinateFunction
  • ListContourPlot3D linearly interpolates values to give smooth contours.
  • array should be a rectangular array of real numbers; holes will be left in the plot whenever there are elements that are not real numbers.
  • ListContourPlot3D[array] by default takes the x, y, and z coordinate values for each data point to be successive integers starting at 1.
  • The setting DataRange->{{xmin,xmax},{ymin,ymax},{zmin,zmax}} specifies other ranges of coordinate values to use.
  • array can be a SparseArray object.
  • The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, z, f. Functions in ColorFunction and TextureCoordinateFunction are by default supplied with scaled versions of these arguments.
  • Possible settings for ScalingFunctions include:
  • {sx,sy,sz}scale x, y and z axes
  • Common built-in scaling functions s include:
  • "Log"log scale with automatic tick labeling
    "Log10"base-10 log scale with powers of 10 for ticks
    "SignedLog"log-like scale that includes 0 and negative numbers
    "Reverse"reverse the coordinate direction
  • ListContourPlot3D returns Graphics3D[GraphicsComplex[data]].
  • Themes that affect 3D surfaces include:
  • "DarkMesh"dark mesh lines
    "GrayMesh"gray mesh lines
    "LightMesh"light mesh lines
    "ZMesh"vertically distributed mesh lines
    "ThickSurface"add thickness to surfaces
  • List of all options
  • Highlight options with settings specific to ListContourPlot3D
  • AlignmentPointCenterthe default point in the graphic to align with
    AspectRatioAutomaticratio of height to width
    AxesTruewhether to draw axes
    AxesEdgeAutomaticon which edges to put axes
    AxesLabelNoneaxes labels
    AxesOriginAutomaticwhere axes should cross
    AxesStyle{}graphics directives to specify the style for axes
    BackgroundNonebackground color for the plot
    BaselinePositionAutomatichow to align with a surrounding text baseline
    BaseStyle{}base style specifications for the graphic
    BoundaryStyleAutomatichow to draw boundaries of regions
    BoxedTruewhether to draw the bounding box
    BoxRatios{1,1,1}bounding 3D box ratios
    BoxStyle{}style specifications for the box
    ClipPlanesNoneclipping planes
    ClipPlanesStyleAutomaticstyle specifications for clipping planes
    ColorFunctionAutomatichow to color contour surfaces
    ColorFunctionScalingTruewhether to scale arguments to ColorFunction
    ContentSelectableAutomaticwhether to allow contents to be selected
    Contours3how many or what contour surfaces to show
    ContourStyleWhitethe style for contour surfaces
    ControllerLinkingFalsewhen to link to external rotation controllers
    ControllerPathAutomaticwhat external controllers to try to use
    DataRangeAutomaticthe range of coordinate values to assume for data
    Epilog{}2D graphics primitives to be rendered after the main plot
    FaceGridsNonegrid lines to draw on the bounding box
    FaceGridsStyle{}style specifications for face grids
    FormatTypeTraditionalFormdefault format type for text
    ImageMargins0.the margins to leave around the graphic
    ImagePaddingAllwhat extra padding to allow for labels, etc.
    ImageSizeAutomaticabsolute size at which to render the graphic
    LabelStyle{}style specifications for labels
    LightingAutomaticsimulated light sources to use
    MaxPlotPointsAutomaticthe maximum number of points to include
    MeshAutomatichow many mesh lines in each direction to draw
    MeshFunctions{#1&,#2&,#3&}how to determine the placement of mesh divisions
    MeshShadingNonehow to shade regions between mesh lines
    MeshStyleAutomaticthe style for mesh divisions
    MethodAutomaticthe method to use for interpolation and data reduction
    PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
    PlotLabelNonea label for the plot
    PlotLegendsNonelegends for surfaces
    PlotRange{Full,Full,Full,Automatic}the range of values to include
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotRegionAutomaticfinal display region to be filled
    PlotTheme$PlotThemeoverall theme for the plot
    PreserveImageOptionsAutomaticwhether to preserve image options when displaying new versions of the same graphic
    Prolog{}2D graphics primitives to be rendered before the main plot
    RegionFunction(True&)how to determine whether a point should be included
    RotationAction"Fit"how to render after interactive rotation
    ScalingFunctionsNonehow to scale individual coordinates
    SphericalRegionAutomaticwhether to make the circumscribing sphere fit in the final display area
    TextureCoordinateFunctionAutomatichow to determine texture coordinates
    TextureCoordinateScalingTruewhether to scale arguments to TextureCoordinateFunction
    TicksAutomaticspecification for ticks
    TicksStyle{}style specification for ticks
    TouchscreenAutoZoomFalsewhether to zoom to fullscreen when activated on a touchscreen
    ViewAngleAutomaticangle of the field of view
    ViewCenterAutomaticpoint to display at the center
    ViewMatrixAutomaticexplicit transformation matrix
    ViewPoint{1.3,-2.4,2.}viewing position
    ViewProjectionAutomaticprojection method for rendering objects distant from the viewer
    ViewRangeAllrange of viewing distances to include
    ViewVectorAutomaticposition and direction of a simulated camera
    ViewVertical{0,0,1}direction to make vertical

Examples

open all close all

Basic Examples  (5)

Find a contour in an array of values:

Find several contours:

Find a contour from irregular data:

Style the contours:

Use legends to identify contours by color:

Scope  (7)

Data  (5)

For regular data consisting of values, the , , and data ranges are taken to be integer values:

Provide explicit , , and data ranges by using DataRange:

For irregular data consisting of triples, the , , and data ranges are inferred from data:

Use MaxPlotPoints to limit the number of points used:

Use data with a different unit for each dimension:

Specify the units to use:

Tabular Data  (1)

Get tabular data:

Plot tabular data in which each column represents data in the form {x,y,z,f}:

Include a legend for the plot:

Presentation  (1)

Apply a log scale to the z direction of a plot:

Options  (93)

Axes  (3)

By default, Axes are drawn for ListContourPlot3D:

Use AxesFalse to turn off axes:

Turn each axis on individually:

AxesLabel  (4)

No axes labels are drawn by default:

Place a label on the axis:

Specify axes labels:

Use units as labels:

AxesOrigin  (2)

The position of the axes is determined automatically:

Specify an explicit origin for the axes:

AxesStyle  (4)

Change the style for the axes:

Specify the style of each axis:

Use different styles for the ticks and the axes:

Use different styles for the labels and the axes:

BoundaryStyle  (3)

Use a red boundary around the edges of the contours:

Use None to omit the boundary:

BoundaryStyle applies to holes cut by RegionFunction:

BoxRatios  (3)

By default, the edges of the bounding box have the same length:

Specify the ratios between the bounding box lengths:

Use the actual coordinate values for the ratios:

ColorFunction  (5)

Color the contours according to the , , , or values:

Use a named color gradient:

ColorFunction has higher priority than ContourStyle:

Use red when :

ColorFunction has lower priority than MeshShading:

ColorFunctionScaling  (2)

Use unscaled values to color the contours:

Use an overlay density based on the coordinate values:

Contours  (3)

Use five equally spaced contours:

Use automatic contour selection:

Use specific contours:

ContourStyle  (7)

Use transparent contours:

Use distinct colors for each contour:

Use FaceForm to get different colors on the inside and outside:

Alternate styles for contour surfaces:

Use the same style for all the contours:

ColorFunction has higher priority than ContourStyle:

MeshShading has higher priority than ContourStyle:

DataRange  (3)

Arrays of values are displayed against the number of elements in each direction:

Rescale to the sampling space:

Tuples are interpreted as , , , coordinates:

ImageSize  (7)

Use named sizes such as Tiny, Small, Medium and Large:

Specify the width of the plot:

Specify the height of the plot:

Allow the width and height to be up to a certain size:

Specify the width and height for a graphic, padding with space if necessary:

Setting AspectRatioFull will fill the available space:

Use maximum sizes for the width and height:

Use ImageSizeFull to fill the available space in an object:

Specify the image size as a fraction of the available space:

MaxPlotPoints  (3)

ListContourPlot normally uses all of the points in the dataset:

Limit the number of points used in each direction:

MaxPlotPoints imposes a regular grid on irregular data:

Mesh  (6)

Show the complete mesh:

Use None to not draw any mesh:

Use five mesh levels in each direction:

Use five mesh levels in the direction and 10 in the direction:

Use mesh lines at specific values:

Use different styles for different mesh lines:

MeshFunctions  (2)

Use a mesh evenly spaced in the , , and directions:

Mesh with respect to radial distance:

MeshShading  (5)

Alternate red and blue sections in the direction:

MeshShading has higher priority than ContourStyle for styling:

Use ContourStyle for some segments by setting MeshShading to Automatic:

MeshShading can be used with ColorFunction:

Fill between regions defined by multiple mesh functions:

MeshStyle  (2)

Use a dashed mesh in the direction:

Use a dashed mesh in the direction and a blue mesh in the direction:

PerformanceGoal  (2)

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

PlotRange  (2)

Show the contours over the full , , range:

Use specific ranges to show more detail:

PlotTheme  (3)

Use a highly stylized theme:

Adjust the appearance by removing the ticks and some mesh lines:

Create a thick surface for 3D printing:

RegionFunction  (2)

Select a region in , , and :

Remove a wedge to see hidden features:

ScalingFunctions  (4)

By default, ContourPlot3D uses linear scales in all directions:

Use a log scale in the direction:

Reverse the coordinate direction of the axis:

Use a scale defined by a function, specifying the function and its inverse:

TargetUnits  (1)

Units are automatically determined from the data:

Specify the units to use:

TextureCoordinateFunction  (5)

Textures use scaled and coordinates by default:

Use the and coordinates:

Use different textures for different surfaces:

Use unscaled coordinates:

Use textures to highlight how parameters map onto a surface:

TextureCoordinateScaling  (1)

Use scaled or unscaled coordinates for textures:

Ticks  (6)

Ticks are placed automatically in each plot:

Use TicksNone to not draw any tick marks:

Place tick marks at specific positions:

Draw tick marks at the specified positions with the specified labels:

Specify tick marks with scaled lengths:

Customize each tick with position, length,labeling and styling:

TicksStyle  (3)

By default, the ticks and tick labels use the same styles as the axis:

Specify overall ticks style, including the tick labels:

Specify tick style for each of the axes:

Neat Examples  (1)

The zero contour for a random field:

See Also

ListSliceContourPlot3D  ContourPlot3D  ListContourPlot  RegionPlot3D  ListPlot3D  ListSurfacePlot3D  ListVectorPlot3D

Related Guides

    ▪
  • Data Visualization
  • ▪
  • Tabular Visualization
  • ▪
  • Image Computation for Microscopy

History

Introduced in 2007 (6.0) | Updated in 2010 (8.0) ▪ 2012 (9.0) ▪ 2014 (10.0) ▪ 2016 (11.0) ▪ 2022 (13.1) ▪ 2025 (14.2)

Wolfram Research (2007), ListContourPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListContourPlot3D.html (updated 2025).

Text

Wolfram Research (2007), ListContourPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListContourPlot3D.html (updated 2025).

CMS

Wolfram Language. 2007. "ListContourPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/ListContourPlot3D.html.

APA

Wolfram Language. (2007). ListContourPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListContourPlot3D.html

BibTeX

@misc{reference.wolfram_2025_listcontourplot3d, author="Wolfram Research", title="{ListContourPlot3D}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/ListContourPlot3D.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_listcontourplot3d, organization={Wolfram Research}, title={ListContourPlot3D}, year={2025}, url={https://reference.wolfram.com/language/ref/ListContourPlot3D.html}, note=[Accessed: 01-December-2025]}

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