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Wolfram Language & System Documentation Center
ListPointPlot3D
  • See Also
    • ListPlot3D
    • ListLinePlot3D
    • FeatureSpacePlot3D
    • Graphics3D
    • Point
    • ContourPlot3D
    • ListPlot
  • Related Guides
    • Data Visualization
    • Tabular Visualization
    • Spatial Point Collections
    • See Also
      • ListPlot3D
      • ListLinePlot3D
      • FeatureSpacePlot3D
      • Graphics3D
      • Point
      • ContourPlot3D
      • ListPlot
    • Related Guides
      • Data Visualization
      • Tabular Visualization
      • Spatial Point Collections

ListPointPlot3D[{{x1,y1,z1},{x2,y2,z2},…}]

generates a 3D scatter plot of points with coordinates {xi,yi,zi}.

ListPointPlot3D[array]

generates a 3D scatter plot of points with a 2D array of height values.

ListPointPlot3D[{data1,data2,…}]

plots several collections of points, by default in different colors.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
General Data  
Tabular Data  
Special Data  
Data Wrappers  
Labeling and Legending  
Presentation  
Options  
Axes  
AxesLabel  
AxesOrigin  
Show More Show More
AxesStyle  
ColorFunction  
ColorFunctionScaling  
DataRange  
Filling  
FillingStyle  
ImageSize  
IntervalMarkers  
IntervalMarkersStyle  
LabelingSize  
LabelingTarget  
PlotLegends  
PlotRange  
PlotStyle  
PlotTheme  
RegionBoundaryStyle  
RegionFunction  
ScalingFunctions  
Ticks  
TicksStyle  
Applications  
Properties & Relations  
Neat Examples  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • ListPlot3D
    • ListLinePlot3D
    • FeatureSpacePlot3D
    • Graphics3D
    • Point
    • ContourPlot3D
    • ListPlot
  • Related Guides
    • Data Visualization
    • Tabular Visualization
    • Spatial Point Collections
    • See Also
      • ListPlot3D
      • ListLinePlot3D
      • FeatureSpacePlot3D
      • Graphics3D
      • Point
      • ContourPlot3D
      • ListPlot
    • Related Guides
      • Data Visualization
      • Tabular Visualization
      • Spatial Point Collections

ListPointPlot3D

ListPointPlot3D[{{x1,y1,z1},{x2,y2,z2},…}]

generates a 3D scatter plot of points with coordinates {xi,yi,zi}.

ListPointPlot3D[array]

generates a 3D scatter plot of points with a 2D array of height values.

ListPointPlot3D[{data1,data2,…}]

plots several collections of points, by default in different colors.

Details and Options

  • Data values xi, yi and zi can be given in the following forms:
  • xia real-valued number
    Quantity[xi,unit]a quantity with a unit
    Around[xi,ei]value xi with uncertainty ei
    Interval[{xmin,xmax}]values between xmin and xmax
  • Values xi, yi and zi that are not of the preceding form are taken to be missing and are not shown.
  • The datai have the following forms and interpretations:
  • <|"k1"{x1,y1,z1},"k2"{x2,y2,z2},…|>values {{x1,y1,z1},{x2,y2,z2},…}
    {{x1,y1,z1}"lbl1",{x2,y2,z2}"lbl2",…}, data{"lbl1","lbl2",…}values {{x1,y1,z1},{x2,y2,z2},…} with labels {lbl1,lbl2,…}
    SparseArrayvalues as a normal array
    QuantityArraymagnitudes
    WeightedDataunweighted values
  • ListPointPlot3D[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 column z against columns x and y
    {{colx1,coly1,colz1},{colx2,coly2,colz2},…}plot column z1 against column x1 and y1 , z2 against x2 and y2, etc.
  • The following wrappers w can be used for the datai:
  • Annotation[datai,label]provide an annotation for the data
    Button[datai,action]define an action to execute when the data is clicked
    Callout[datai,label]label the data with a callout
    Callout[datai,label,pos]place the callout at relative position pos
    EventHandler[datai,…]define a general event handler for the data
    Hyperlink[datai,uri]make the data a hyperlink
    Labeled[datai,label]label the data
    Labeled[datai,label,pos]place the label at relative position pos
    Legended[datai,label]identify the data in a legend
    PopupWindow[datai,cont]attach a popup window to the data
    StatusArea[datai,label]display in the status area on mouseover
    Style[datai,styles]show the data using the specified styles
    Tooltip[datai,label]attach a tooltip to the data
    Tooltip[datai]use data values as tooltips
  • Wrappers w can be applied at multiple levels:
  • {{…,w[zi,j],…}}wrap the value zi,j in array data
    {…,w[{xi,yi,zi}],…}wrap the point {xi,yi,zi}
    w[datai]wrap the data
    w[{data1,…}]wrap a collection of datai
    w1[w2[…]]use nested wrappers
  • Callout, Labeled and Placed can use the following positions pos:
  • Automaticautomatically placed labels
    Above, Below, Before, Afterpositions around the data
    {pos,epos}epos in label placed at relative position pos of the data
  • Labels are placed on a billboard plane that always faces the camera, and Before, After, etc. refer to positions on that plane.
  • ListPointPlot3D has the same options as Graphics3D, with the following additions and changes: [List of all options]
  • Axes Truewhether to draw axes
    BoxRatios{1,1,0.4}bounding 3D box ratios
    ColorFunction Automatichow to determine the color of points
    ColorFunctionScaling Truewhether to scale arguments to ColorFunction
    DataRange Automaticthe range of x and y values to assume for data
    Filling Nonehow to fill in stems for each point
    FillingStyle Automaticstyle to use for filling
    IntervalMarkers Automatichow to render uncertainty
    IntervalMarkersStyle Automaticstyle for uncertainty elements
    LabelingFunctionAutomatichow to label points
    LabelingSize Automaticsize to use for callout and label
    LabelingTarget Automatichow to determine automatic label positions
    PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
    PlotInteractivity$PlotInteractivitywhether to allow interactive elements
    PlotLegends Nonelegends for points
    PlotRange {Full,Full,Automatic}the range of z or other values to include
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotStyle Automaticstyles of points
    PlotTheme $PlotThemeoverall theme for the plot
    RegionFunction (True&)how to determine whether a point should be included
    RegionBoundaryStyle TemplateBox[{Automatic, paclet:ref/Automatic}, RefLink, BaseStyle -> {3ColumnTableMod}]style to use for a region
    ScalingFunctions Nonehow to scale individual coordinates
  • The option setting Filling->Automatic shows stems for all points.
  • DataRange determines how values {{z11, …, z1n},…,{zm1,…,zmn}} {z1q,…,zn} are interpreted into {{x11,y11,z11},…,{xmn,ymn,zmn}}. Possible settings include:
  • Automatic,Alluniform from 1 to m or n
    {{xmin,xmax},{ymin,ymax}}uniform from xmin to xmax and from ymin to ymax
  • In general, a list of triples {{x1,y1,z1},{x2,y2,z2},…} is interpreted as a list of points, but the setting DataRangeAll forces it to be interpreted as multiple datai {{z11,z12,z13},{z21,z22,z23},…}.
  • PlotStyle allows any graphics directive, and each directive will be applied to collections of points datai.
  • The arguments supplied to functions in ColorFunction and RegionFunction are x, y and z. Functions in ColorFunction are by default supplied with scaled versions of these arguments.
  • List of all options
  • Highlight options with settings specific to ListPointPlot3D
  • 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
    BoxedTruewhether to draw the bounding box
    BoxRatios{1,1,0.4}bounding 3D box ratios
    BoxStyle{}style specifications for the box
    ClipPlanesNoneclipping planes
    ClipPlanesStyleAutomaticstyle specifications for clipping planes
    ColorFunctionAutomatichow to determine the color of points
    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
    DataRangeAutomaticthe range of x and y 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
    FillingNonehow to fill in stems for each point
    FillingStyleAutomaticstyle to use for filling
    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
    IntervalMarkersAutomatichow to render uncertainty
    IntervalMarkersStyleAutomaticstyle for uncertainty elements
    LabelingFunctionAutomatichow to label points
    LabelingSizeAutomaticsize to use for callout and label
    LabelingTargetAutomatichow to determine automatic label positions
    LabelStyle{}style specifications for labels
    LightingAutomaticsimulated light sources to use
    MethodAutomaticdetails of 3D graphics methods to use
    PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
    PlotInteractivity$PlotInteractivitywhether to allow interactive elements
    PlotLabelNonea label for the plot
    PlotLegendsNonelegends for points
    PlotRange{Full,Full,Automatic}the range of z or other values to include
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotRegionAutomaticfinal display region to be filled
    PlotStyleAutomaticstyles of points
    PlotTheme$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
    RegionBoundaryStyleTemplateBox[{Automatic, paclet:ref/Automatic}, RefLink, BaseStyle -> {3ColumnTableMod}]style to use for a region
    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
    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  (6)

Show a scatter plot from an array of height values:

Use irregularly spaced data:

Add labels as Callout:

Fill below the points:

Show multiple sets of points:

Color the points by height:

Scope  (36)

General Data  (8)

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

Provide explicit and data ranges by using DataRange:

Plot multiple sets of regular data:

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

Plot multiple sets of irregular data:

Areas around where the data is nonreal are excluded:

PlotRange is selected automatically:

Use PlotRange to focus in on areas of interest:

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

Tabular Data  (2)

Get tabular data:

Plot triples of data:

Plot multiple sets of data:

Include legends for the plot, using the column names:

Get tabular data:

Plot three columns as coordinate triples:

Use PivotToColumns to create columns of values for each species:

Special Data  (6)

Use Quantity to include units with the data:

Plot data in a QuantityArray:

Specify the units used with TargetUnits:

Plot data with uncertainty:

Specify strings to use as labels:

Specify locations for labels:

Plot data in a SparseArray:

Data Wrappers  (6)

Use wrappers on individual data, datasets or collections of datasets:

Wrappers can be nested:

Use the value of each point as a tooltip:

Use a specific label for all the points:

Labels points with automatically positioned text:

Use PopupWindow to provide additional drilldown information:

Button can be used to trigger any action:

Labeling and Legending  (6)

Label points with automatically positioned text:

Place the labels relative to the points:

Specify label names with LabelingFunction:

Include legends for each point collection:

Use Legended to provide a legend for a specific dataset:

Use Placed to change the legend location:

Specify the maximum size of labels:

Use the full label:

For dense sets of points, some labels may be turned into tooltips by default:

Increasing the size of the plot will show more labels:

Presentation  (8)

Provide an explicit PlotStyle for the points:

Provide separate styles for different surfaces:

Add labels:

Color the surface by height:

Provide an interactive Tooltip for each point:

Provide an interactive Tooltip for the whole plot:

Fill below the points:

Use a theme with simple ticks in a bright color scheme:

Use a highly styled theme:

Options  (84)

Axes  (3)

By default, Axes are drawn:

Use AxesFalse to turn off axes:

Turn on each axis 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:

ColorFunction  (5)

Color by scaled , , and values:

Color by scaled and coordinates:

Use ColorData for predefined color gradients:

Named color gradients color in the direction:

ColorFunction has higher priority than PlotStyle:

ColorFunctionScaling  (2)

Use unscaled coordinates:

Unscaled coordinates are dependent on DataRange:

DataRange  (5)

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

Rescale to the sampling space:

Each dataset is scaled to the same domain:

Triples are interpreted as , , coordinates:

Force interpretation as arrays of height values:

The dataset is normally interpreted as a list of , , triples:

Filling  (3)

Fill to the bottom, using "stems":

Filling occurs along the region cut by the RegionFunction:

Fill surface 1 to the bottom with blue and surface 2 to the top with red:

FillingStyle  (3)

Fill to the bottom with a variety of styles:

Fill to the plane with orange below and blue above:

Fill to the plane from above only:

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:

IntervalMarkers  (2)

Interval markers are bars by default:

Use named IntervalMarkers:

IntervalMarkersStyle  (2)

Interval markers are black by default:

Specify the style for the bars:

LabelingSize  (3)

Images in callouts and labels are resized automatically by default:

Use LabelingSize to change the display size of labels:

Textual labels are displayed at their full size:

Change the display size:

LabelingTarget  (7)

Labels are automatically placed to maximize readability:

Show all labels:

Use a denser layout for the labels:

Show the quarter of the labels that are easiest to read:

Only allow labels that are orthogonal to the points:

Only allow labels that are diagonal to the points:

Restrict labels to be above or to the right of the points:

Allow labels to obscure other points:

Allow labels to be clipped by the edges of the plot:

PlotLegends  (5)

No legend is used by default:

Generate a legend using labels:

Generate a legend using placeholders:

Use Placed to specify legend placement:

Build a custom legend with BarLegend:

PlotRange  (3)

Automatically compute the range:

Use all points to compute the range:

Use an explicit range to emphasize features:

PlotStyle  (1)

Plot two point sets with different styles:

Different point sizes:

PlotTheme  (2)

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

Change color scheme:

RegionBoundaryStyle  (3)

Show the region being plotted:

Use None to not draw the region:

Use a custom RegionBoundaryStyle:

RegionFunction  (4)

Plot over a region in :

The region depends on DataRange:

Regions do not have to be connected:

Use any logical combination of conditions:

ScalingFunctions  (5)

By default, plots have linear scales in each direction:

Use a log scale in the direction:

Use a linear scale in the direction that shows smaller numbers at the top:

Use different scales in the , and directions:

Use a scale defined by a function and its inverse:

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 the overall tick style, including the tick labels:

Specify the tick style for each of the axes:

Applications  (1)

Sampling points for a three-dimensional integration:

Properties & Relations  (11)

Use ListPlot and ListLinePlot to plot heights in 2D:

Plot points:

Use ListLinePlot3D to plot curves through lists of points:

Plot curves through rows of heights in a table:

Use ListPlot3D to create surfaces from data:

Use Plot3D to visualize functions:

Use ListLogPlot, ListLogLogPlot, and ListLogLinearPlot for logarithmic data plots:

Use ListPolarPlot for polar plots:

Use DateListPlot to show data over time:

Use ListContourPlot to create contours from continuous data:

Use ListDensityPlot to create densities from continuous data:

Use ArrayPlot and MatrixPlot for arrays of discrete values:

Use ParametricPlot for parametric curves:

Neat Examples  (2)

Quadruple helix:

Four conical spirals:

See Also

ListPlot3D  ListLinePlot3D  FeatureSpacePlot3D  Graphics3D  Point  ContourPlot3D  ListPlot

Related Guides

    ▪
  • Data Visualization
  • ▪
  • Tabular Visualization
  • ▪
  • Spatial Point Collections

History

Introduced in 2007 (6.0) | Updated in 2012 (9.0) ▪ 2014 (10.0) ▪ 2016 (11.0) ▪ 2018 (11.3) ▪ 2020 (12.1) ▪ 2025 (14.2) ▪ 2025 (14.3)

Wolfram Research (2007), ListPointPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListPointPlot3D.html (updated 2025).

Text

Wolfram Research (2007), ListPointPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListPointPlot3D.html (updated 2025).

CMS

Wolfram Language. 2007. "ListPointPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/ListPointPlot3D.html.

APA

Wolfram Language. (2007). ListPointPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListPointPlot3D.html

BibTeX

@misc{reference.wolfram_2025_listpointplot3d, author="Wolfram Research", title="{ListPointPlot3D}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/ListPointPlot3D.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_listpointplot3d, organization={Wolfram Research}, title={ListPointPlot3D}, year={2025}, url={https://reference.wolfram.com/language/ref/ListPointPlot3D.html}, note=[Accessed: 01-December-2025]}

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