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DiscretePlot3D [f,{i,imin,imax},{j,jmin,jmax}]

generates a plot of f when i runs from imin to imax and j runs from jmin to jmax.

DiscretePlot3D [f,{i,imin,imax,di},{j,jmin,jmax,dj}]

uses steps di and dj.

DiscretePlot3D [f,{i,{i1,,im}},{j,{j1,,jn}}]

uses successive i values i1, , jm and j values j1, , jn.

DiscretePlot3D [{f1,f2,},,]

plots the values of all the fk.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Data and Layouts  
Labeling and Legending  
Styling and Appearance  
Options  
Axes  
AxesLabel  
AxesOrigin  
Show More Show More
AxesStyle  
ColorFunction  
ColorFunctionScaling  
EvaluationMonitor  
ExtentElementFunction  
ExtentMarkers  
ExtentSize  
Filling  
FillingStyle  
ImageSize  
Joined  
LabelingFunction  
LabelingSize  
PlotLegends  
PlotMarkers  
PlotStyle  
PlotTheme  
RegionFunction  
ScalingFunctions  
Applications  
Properties & Relations  
See Also
Related Guides
History
Cite this Page

DiscretePlot3D [f,{i,imin,imax},{j,jmin,jmax}]

generates a plot of f when i runs from imin to imax and j runs from jmin to jmax.

DiscretePlot3D [f,{i,imin,imax,di},{j,jmin,jmax,dj}]

uses steps di and dj.

DiscretePlot3D [f,{i,{i1,,im}},{j,{j1,,jn}}]

uses successive i values i1, , jm and j values j1, , jn.

DiscretePlot3D [{f1,f2,},,]

plots the values of all the fk.

Details and Options

Examples

open all close all

Basic Examples  (3)

Plot a bivariate sequence:

Associate a region with the points:

Plot several sequences:

Scope  (12)

Data and Layouts  (4)

Plot multiple datasets:

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

Wrappers can be nested:

Override the default tooltips:

Use PopupWindow to provide additional drilldown information:

Button can be used to trigger any action:

Use ScalingFunctions to scale the axes:

Labeling and Legending  (3)

Label individual points:

Use tooltips instead:

Specify label names with LabelingFunction :

Styling and Appearance  (5)

Use ExtentSize to associate a region with a point:

Use an explicit list of styles for the plots:

Use any gradient color schemes from ColorData :

Style can be used to override styles:

Show plot markers:

Show extent region boundaries:

Use a theme with dark background in a high-contrast color scheme:

Options  (90)

Axes  (3)

By default, Axes are drawn for DiscretePlot3D :

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 labels based on variables specified in DiscretePlot3D :

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  (6)

Color the points by scaled , , or value:

Color the surface by scaled , , or value:

Color the regions by scaled , , or value:

Use a named color gradient:

ColorFunction has higher priority than PlotStyle :

Use black when two numbers are relatively prime:

ColorFunctionScaling  (1)

Color by absolute height:

EvaluationMonitor  (1)

Gather the plotted heights:

Show the plot and a histogram of the heights:

ExtentElementFunction  (5)

Get a list of built-in settings for ExtentElementFunction :

For detailed settings, use Palettes Chart Element Schemes:

This ChartElementFunction is appropriate to show the global scale:

Write a custom ExtentElementFunction :

A built-in element function may have options; use Palettes Chart Element Schemes to set them:

ExtentMarkers  (4)

Do not show the extent edges:

Use lines to show the extent edges:

Use varying sized tubes to show the extent edges:

Place tubes along the front and left edges of the extent region:

ExtentSize  (6)

Show heights as points:

Draw full regions around the heights:

With unevenly spaced points:

Use fixed-size regions:

With unevenly spaced points:

Use sizes relative to the distance between points:

With unevenly spaced points:

Use equally sized regions that do not overlap:

With unevenly spaced points:

Control the placement of the region around the points:

Filling  (3)

DiscretePlot3D fills to :

Turn off filling:

Fill to different levels:

FillingStyle  (3)

Fill to the bottom with a variety of styles:

With expanded point regions:

Use different colors above and below the filling level:

Only fill below the filling level:

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:

Joined  (2)

Join the points into a surface:

Combine a surface with extent regions:

LabelingFunction  (4)

Put the labels above the points:

Put them in a tooltip:

Use callouts to label the points:

Label the points with their values:

Label the points with their indices:

LabelingSize  (1)

Specify a maximum size for textual labels:

Use the full label:

PlotLegends  (6)

Use automatic legends:

Specify a list of labels for legends:

Use named legends:

PlotLegends automatically picks up PlotStyle values:

Use Placed to control legend placement:

Use SwatchLegend to change legend appearance:

PlotMarkers  (4)

Change the size of the default plot markers:

Markers are not usually shown when surfaces are used:

Use points with surfaces:

Use spheres for markers:

Vary the size of the spheres:

PlotStyle  (7)

Use different style directives:

By default, different styles are chosen for multiple functions:

Explicitly specify the style for different functions:

PlotStyle applies to points, lines, and surfaces:

PlotStyle can be combined with ColorFunction :

PlotStyle can be combined with FillingStyle :

FillingStyle by default uses the same style as PlotStyle with transparency:

PlotTheme  (4)

Use a theme with simple ticks and grid lines:

Change the color scheme:

Use a theme with dark background in a high-contrast color scheme:

Turn off the ticks:

RegionFunction  (4)

Restrict the region plotted:

Extended regions are treated as the underlying point without additional clipping:

Regions can have several unconnected components:

Define regions using logical combinations of constraints:

ScalingFunctions  (9)

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 front:

Use a reciprocal scale in the direction:

Use different scales in the and directions:

Reverse the axis without changing the axis:

Use a scale defined by a function and its inverse:

Positions in Ticks and FaceGrids are automatically scaled:

PlotRange is automatically scaled:

Applications  (2)

Visualize properties of discrete distributions, such as probability density function:

Cumulative distribution function:

Survival function:

Approximate the volume under a surface using Riemann sums:

Properties & Relations  (4)

Plot3D generates continuous surfaces:

Use ListPointPlot3D to plot lists of values:

Use BarChart3D to show bars for lists of values:

Use DiscretePlot to plot functions of single discrete variables:

Wolfram Research (2010), DiscretePlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/DiscretePlot3D.html (updated 2019).

Text

Wolfram Research (2010), DiscretePlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/DiscretePlot3D.html (updated 2019).

CMS

Wolfram Language. 2010. "DiscretePlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2019. https://reference.wolfram.com/language/ref/DiscretePlot3D.html.

APA

Wolfram Language. (2010). DiscretePlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DiscretePlot3D.html

BibTeX

@misc{reference.wolfram_2025_discreteplot3d, author="Wolfram Research", title="{DiscretePlot3D}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/DiscretePlot3D.html}", note=[Accessed: 05-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_discreteplot3d, organization={Wolfram Research}, title={DiscretePlot3D}, year={2019}, url={https://reference.wolfram.com/language/ref/DiscretePlot3D.html}, note=[Accessed: 05-December-2025]}

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