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Wolfram Language & System Documentation Center
ListSurfacePlot3D
  • See Also
    • ListPlot3D
    • ListPointPlot3D
    • ListFitPlot3D
    • ParametricPlot3D
    • ListDensityPlot
    • ListContourPlot
    • ListContourPlot3D
    • RegionPlot3D
    • Plot3D
    • ListCurvePathPlot
    • MeshRegion
    • DiscretizeGraphics
  • Related Guides
    • Data Visualization
    • Computational Geometry
    • Tabular Visualization
    • See Also
      • ListPlot3D
      • ListPointPlot3D
      • ListFitPlot3D
      • ParametricPlot3D
      • ListDensityPlot
      • ListContourPlot
      • ListContourPlot3D
      • RegionPlot3D
      • Plot3D
      • ListCurvePathPlot
      • MeshRegion
      • DiscretizeGraphics
    • Related Guides
      • Data Visualization
      • Computational Geometry
      • Tabular Visualization

ListSurfacePlot3D[{{x1,y1,z1},{x2,y2,z2},…}]

plots a three-dimensional surface constructed to fit the specified points.

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  
ColorFunction  
ColorFunctionScaling  
ImageSize  
Mesh  
MeshFunctions  
MeshShading  
MeshStyle  
PlotStyle  
PlotTheme  
RegionFunction  
ScalingFunctions  
TextureCoordinateFunction  
TextureCoordinateScaling  
Ticks  
TicksStyle  
Applications  
Properties & Relations  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • ListPlot3D
    • ListPointPlot3D
    • ListFitPlot3D
    • ParametricPlot3D
    • ListDensityPlot
    • ListContourPlot
    • ListContourPlot3D
    • RegionPlot3D
    • Plot3D
    • ListCurvePathPlot
    • MeshRegion
    • DiscretizeGraphics
  • Related Guides
    • Data Visualization
    • Computational Geometry
    • Tabular Visualization
    • See Also
      • ListPlot3D
      • ListPointPlot3D
      • ListFitPlot3D
      • ParametricPlot3D
      • ListDensityPlot
      • ListContourPlot
      • ListContourPlot3D
      • RegionPlot3D
      • Plot3D
      • ListCurvePathPlot
      • MeshRegion
      • DiscretizeGraphics
    • Related Guides
      • Data Visualization
      • Computational Geometry
      • Tabular Visualization

ListSurfacePlot3D

ListSurfacePlot3D[{{x1,y1,z1},{x2,y2,z2},…}]

plots a three-dimensional surface constructed to fit the specified points.

Details and Options

  • ListSurfacePlot3D attempts to reconstruct smooth surfaces defined by sets of points.
  • Surfaces generated by ListSurfacePlot3D can "fold over", and do not need to have a single value for given and values.
  • The order in which , , points are supplied to ListSurfacePlot3D does not affect the results.
  • ListSurfacePlot3D[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}plot values from columns colx, coly and colz
  • ListSurfacePlot3D 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 boundary lines for surfaces
    BoxRatiosAutomaticbounding 3D box ratios
    ColorFunction Automatichow to determine the color of the surface
    ColorFunctionScaling Truewhether to scale arguments to ColorFunction
    MaxPlotPointsAutomaticthe 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 lines
    MeshShading Nonehow to shade regions between mesh lines
    MeshStyle Automaticthe style for mesh lines
    MethodAutomaticthe method to use for interpolation and data reduction
    PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
    PlotLegendsNonelegends for surfaces
    PlotRangeAllthe range of values to include
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotStyle Automaticgraphics directives to specify the style for the surface
    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
  • ListSurfacePlot3D yields a surface that fits the data provided, but may not necessarily contain the specific points defined by the data.
  • The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, and z. Functions in ColorFunction and TextureCoordinateFunction are by default supplied with scaled versions of these arguments.
  • ListSurfacePlot3D returns Graphics3D[GraphicsComplex[data]].
  • Possible settings for ScalingFunctions include:
  • syscale the y axis
    {sx,sy}scale x and y 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
    "Infinite"infinite scale
  • List of all options
  • Highlight options with settings specific to ListSurfacePlot3D
  • 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 boundary lines for surfaces
    BoxedTruewhether to draw the bounding box
    BoxRatiosAutomaticbounding 3D box ratios
    BoxStyle{}style specifications for the box
    ClipPlanesNoneclipping planes
    ClipPlanesStyleAutomaticstyle specifications for clipping planes
    ColorFunctionAutomatichow to determine the color of the surface
    ColorFunctionScalingTruewhether to scale arguments to ColorFunction
    ContentSelectableAutomaticwhether to allow contents to be selected
    ControllerLinkingFalsewhen to link to external rotation controllers
    ControllerPathAutomaticwhat external controllers to try to use
    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 lines
    MeshShadingNonehow to shade regions between mesh lines
    MeshStyleAutomaticthe style for mesh lines
    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
    PlotRangeAllthe range of values to include
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotRegionAutomaticfinal display region to be filled
    PlotStyleAutomaticgraphics directives to specify the style for the surface
    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  (1)

Reconstruct a surface from 3D data:

Process and style the resulting surface:

Scope  (13)

Data  (4)

Nonreal data is excluded:

Use MaxPlotPoints to limit the number of points used:

Use PlotRange to focus in on areas of interest:

Use RegionFunction to restrict the surface to a region given by inequalities:

Tabular Data  (1)

Get tabular data:

Plot a surface using tabular data in which the columns represent triplets {colx,coly,colz}:

Presentation  (8)

Provide an explicit PlotStyle for the surface:

Add labels:

Color the surface by height:

Provide overlay meshes:

Style the areas between mesh lines:

Use a theme with a dark background and grid lines:

Use a theme with minimum styling:

Use ScalingFunctions to flip the x axis:

Options  (70)

Axes  (3)

By default, Axes are drawn:

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  (4)

Use a black boundary around the edges of the surface:

Use a thick boundary around the edges of the surface:

Use a thick red boundary around the edges of the surface:

BoundaryStyle applies to holes cut by RegionFunction:

ColorFunction  (4)

Color by scaled , , and values:

Named color gradients color in the direction:

ColorFunction has higher priority than PlotStyle:

ColorFunction has lower priority than MeshShading:

ColorFunctionScaling  (1)

Use unscaled coordinates when calculating the color:

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:

Mesh  (5)

Use no mesh:

Show the sampling mesh:

Use 5 mesh lines in each direction:

Use 3 mesh lines in the direction and 6 mesh lines in the direction:

Use mesh lines at specific values:

MeshFunctions  (2)

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

Use an arbitrary mesh function:

MeshShading  (4)

Use None to remove regions:

Lay a checkerboard pattern over a surface:

MeshShading has a higher priority than PlotStyle:

MeshShading has a higher priority than ColorFunction:

MeshStyle  (2)

Use red mesh lines:

Use red mesh lines in the direction, blue in the direction, and thick in the direction:

PlotStyle  (6)

Color a surface with diffuse cyan:

Use Specularity to get highlights:

Use Opacity to get transparent surfaces:

Produce a wire mesh:

ColorFunction has higher priority than PlotStyle:

MeshShading has a higher priority than PlotStyle:

PlotTheme  (1)

Use a theme with a bold color scheme and simple ticks:

Change the color function:

RegionFunction  (3)

Select a region in , , and :

Select the region where :

ScalingFunctions  (4)

By default, plots have linear scales in all directions:

Log-scaled plots will only plot regions in which Log is defined:

Use a shifted log scale to show a function with negative values:

Use ScalingFunctions to reverse the coordinate direction in the direction:

TextureCoordinateFunction  (4)

Textures use scaled and coordinates by default:

Use the and coordinates:

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 overall ticks style for each of the axes:

Applications  (1)

Reconstruct a sphere:

Add "noise" to the data:

Properties & Relations  (13)

ListPlot3D always assumes a function surface with one sheet:

ListSurfacePlot3D can fill in any number of sheets:

ListSurfacePlot3D produces an approximating general surface:

ListPlot3D constructs a function surface that oscillates rapidly in the direction:

When using multiple values for each , value, the duplicates are discarded by ListPlot3D:

ListSurfacePlot3D still reconstructs the general surface:

Use ListPointPlot3D to show three-dimensional points:

Use ListContourPlot3D to find contours through values associated with , , data:

Use ListContourPlot to create contours from continuous data:

Use ListDensityPlot to create densities from continuous data:

Use ArrayPlot for arrays of discrete data:

Use MatrixPlot for structural plots of matrices:

Use ReliefPlot for matrices corresponding to medical and geographic values:

Use ListLogPlot, ListLogLogPlot, and ListLogLinearPlot for logarithmic plots:

Use ListPolarPlot for polar plots:

Use DateListPlot to show data over time:

Use ParametricPlot3D for three-dimensional parametric curves and surfaces:

See Also

ListPlot3D  ListPointPlot3D  ListFitPlot3D  ParametricPlot3D  ListDensityPlot  ListContourPlot  ListContourPlot3D  RegionPlot3D  Plot3D  ListCurvePathPlot  MeshRegion  DiscretizeGraphics

Related Guides

    ▪
  • Data Visualization
  • ▪
  • Computational Geometry
  • ▪
  • Tabular Visualization

History

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

Wolfram Research (2007), ListSurfacePlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html (updated 2025).

Text

Wolfram Research (2007), ListSurfacePlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html (updated 2025).

CMS

Wolfram Language. 2007. "ListSurfacePlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html.

APA

Wolfram Language. (2007). ListSurfacePlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html

BibTeX

@misc{reference.wolfram_2025_listsurfaceplot3d, author="Wolfram Research", title="{ListSurfacePlot3D}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html}", note=[Accessed: 01-March-2026]}

BibLaTeX

@online{reference.wolfram_2025_listsurfaceplot3d, organization={Wolfram Research}, title={ListSurfacePlot3D}, year={2025}, url={https://reference.wolfram.com/language/ref/ListSurfacePlot3D.html}, note=[Accessed: 01-March-2026]}

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