makes a plot showing the region in which pred is True.


plots several regions corresponding to the predi.


plots predi with features defined by the symbolic wrapper w.

Details and Options


open allclose all

Basic Examples  (5)

Plot a region defined by an inequality:

Plot a region defined by logical combinations of inequalities:

Plot disconnected regions:

Use legends:

Style the region:

Scope  (17)

Sampling  (4)

More points are sampled where the function changes quickly:

Areas where the function is not True are excluded:

Use PlotPoints and MaxRecursion to control adaptive sampling:

Use logical combinations of regions:

Labeling and Legending  (4)

Label regions with Labeled:

Place the labels relative to the regions:

Label regions with Callout:

Callout leader is turned off when label is inside the region:

Add legends with PlotLegends:

Add legends with Legended:

Presentation  (9)

Provide an explicit PlotStyle for the region:

Provide an explicit BoundaryStyle for the region boundary:

Add labels:

Use legends for multiple regions:

Use automatic legends for gradient colored regions:

Use an overlay mesh:

Style the areas between mesh lines:

Color the region with an overlay density:

Use a plot theme:

Options  (58)

AspectRatio  (2)

Regions are shown with AspectRatio set to 1:

Use the natural scale to show regions:

BoundaryStyle  (4)

Regions have a gray boundary:

Use None to show regions without any boundary:

Use a blue boundary:

Use a thicker dashed boundary:

ColorFunction  (5)

Color regions by scaled and values:

Named color functions use the scaled direction:

Color regions according to a function of and :

ColorFunction has higher priority than PlotStyle:

ColorFunction has lower priority than MeshShading:

ColorFunctionScaling  (1)

Use unscaled and coordinates for coloring the regions:

LabelingSize  (2)

Textual labels are shown at their actual sizes:

Specify the size of the text:

Image labels are resized to fit in the plot:

Specify the labeling size:

MaxRecursion  (1)

Refine the region where it changes quickly:

Mesh  (7)

Use no mesh:

Show the initial and final sampling meshes:

Use 10 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:

Use different styles for different mesh lines:

Mesh lines apply to the whole region, not each component:

MeshFunctions  (2)

Mesh lines in the and directions:

Mesh lines at fixed radii from the origin:

MeshShading  (4)

Use None to remove regions:

Lay a checkerboard pattern over a region:

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 and dashed mesh lines in the direction:

PerformanceGoal  (2)

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

PlotLabels (5)

Label the regions:

Place the label above the region:

Place the label inside the region:

Use Callout to place the label:

Label multiple regions:

PlotLegends  (8)

Use legends:

Use legends for multiple regions:

Use automatic legends for a gradient colored region:

PlotLegends automatically picks up styles:

Use functions as legend texts:

Specify legend texts:

Use Placed to change legend position:

Use SwatchLegend to change legend appearance:

PlotPoints  (1)

Use more initial points to get smoother regions:

PlotRange  (2)

Show the region over the full , range:

Automatically compute the , range:

PlotStyle  (5)

Regions are shown in light blue:

Use None to just show the boundary of the region:

Use light orange:

Distinct colors are used for different regions:

Use transparent colors for different regions:

PlotTheme  (2)

Use a theme with simple ticks and grid lines in a bright color scheme:

Change the color scheme:

TextureCoordinateFunction  (2)

Textures use scaled and coordinates by default:

Use unscaled coordinates:

TextureCoordinateScaling  (1)

Use scaled or unscaled coordinates for textures:

Applications  (8)

Find the intersection of two half-spaces:

Simple regions including a disk:

Disk annulus:


Ellipse annulus:

Disk segment:

Disk segment annulus:

Illustrate set operations:

Visualize regions in the complex plane:

Identify where a function is real-valued:

Integrate over a region that contains parameters:

Visualize the regions for the three different cases:

Absolute stability regions for Euler forward:

Stability regions for Euler backward and Tustin or midpoint rules:

Stability regions for explicit RungeKutta rules of order 2, 3, 4, and 5:

Relative stability or order-stars regions for {0,n} Padé approximants:

Order-star regions for {n,0} Padé approximants:

Properties & Relations  (9)

RegionPlot samples more points where it needs to:

Use RegionPlot3D for volumes:

Use ContourPlot and ContourPlot3D for systems of equalities:

Use ComplexRegionPlot for regions in the complex plane:

Use RegionFunction to constrain other plots:

Use ParametricPlot for plane parametric curves and regions:

Use Integrate or NIntegrate to integrate over regions:

The integration region:

Use Maximize, NMaximize, or FindMaximum to optimize over regions:

Use Reduce to get a cylindrical representation of the region:

Use FindInstance to find specific samples in regions:

Possible Issues  (2)

RegionPlot will only visualize two-dimensional regions:

Use ContourPlot to visualize one-dimensional regions:

Piecewise constant functions can have two-dimensional level sets:

Neat Examples  (2)

Overlay colors on a transcendental region:

Exclusive OR of five disks:

Wolfram Research (2007), RegionPlot, Wolfram Language function, (updated 2019).


Wolfram Research (2007), RegionPlot, Wolfram Language function, (updated 2019).


@misc{reference.wolfram_2020_regionplot, author="Wolfram Research", title="{RegionPlot}", year="2019", howpublished="\url{}", note=[Accessed: 10-April-2021 ]}


@online{reference.wolfram_2020_regionplot, organization={Wolfram Research}, title={RegionPlot}, year={2019}, url={}, note=[Accessed: 10-April-2021 ]}


Wolfram Language. 2007. "RegionPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2019.


Wolfram Language. (2007). RegionPlot. Wolfram Language & System Documentation Center. Retrieved from