Region
Details and Options

- Region[…] displays in a notebook as a plot of a region with embedding dimensions 1, 2 and 3.
- Region[reg,…] is always converted to an optimized standard form with structure Region[reg,data,…].
- Region has the same options as Graphics for embedding dimension 2 and the same options as Graphics3D for embedding dimension 3, with the following additions and changes:
-
PlotTheme $PlotTheme overall theme RegionSize Automatic print size of the region - Possible settings for PlotTheme include common base themes, font features themes and size features themes.
- Region can be used with functions such as RegionMember, RegionDistance, RegionMeasure and NIntegrate.

Examples
open allclose allBasic Examples (3)Summary of the most common use cases

https://wolfram.com/xid/0giuf2-f03127

A MeshRegion is a Region with an additional mesh structure:

https://wolfram.com/xid/0giuf2-cl6p94


https://wolfram.com/xid/0giuf2-6w0pc3

Region represents the underlying three-dimensional point set without the mesh structure:

https://wolfram.com/xid/0giuf2-qpsbb

Style a Region:

https://wolfram.com/xid/0giuf2-8otfqx

Scope (35)Survey of the scope of standard use cases
Regions (14)
Regions in 1D (3)
A strictly 0D Region is a point set:

https://wolfram.com/xid/0giuf2-bkhd1r

A strictly 1D Region is a collection of line segments:

https://wolfram.com/xid/0giuf2-c9rg3

A Region can combine elements of different dimensions:

https://wolfram.com/xid/0giuf2-ltugbx

Regions in 2D (5)
A strictly 0D Region is a point set:

https://wolfram.com/xid/0giuf2-314tt

A strictly 1D Region is a collection of line segments:

https://wolfram.com/xid/0giuf2-ozp9y

A strictly 2D Region is a collection of polygonal faces:

https://wolfram.com/xid/0giuf2-pz60fx

A Region can combine elements of different dimensions:

https://wolfram.com/xid/0giuf2-iddq4a

Polygons with GeoGridPosition:

https://wolfram.com/xid/0giuf2-ipsiqu

Regions in 3D (6)
A strictly 0D Region is a point set:

https://wolfram.com/xid/0giuf2-3340u

A strictly 1D Region is a collection of line segments:

https://wolfram.com/xid/0giuf2-m3ieb9

A strictly 2D Region is a collection of polygonal faces:

https://wolfram.com/xid/0giuf2-dsc1po

A strictly 3D Region is a collection of polyhedral volumes:

https://wolfram.com/xid/0giuf2-b2ulr

Polyhedral volume cells include Cone, Cuboid, Pyramid etc.:

https://wolfram.com/xid/0giuf2-hevw6j

A Region can combine elements of different dimensions:

https://wolfram.com/xid/0giuf2-hlti10

PolygonCoordinates works on polygons of geographic entities:

https://wolfram.com/xid/0giuf2-6v2zf3

Polygons with GeoPosition:

https://wolfram.com/xid/0giuf2-1lk1dy

Polygons with GeoPositionXYZ:

https://wolfram.com/xid/0giuf2-4dy58p

Polygons with GeoPositionENU:

https://wolfram.com/xid/0giuf2-sz3fv8

Presentation (8)

https://wolfram.com/xid/0giuf2-1z4s3w


https://wolfram.com/xid/0giuf2-zs9r8


https://wolfram.com/xid/0giuf2-b2hkep


https://wolfram.com/xid/0giuf2-coq6yk


https://wolfram.com/xid/0giuf2-bb4e24


https://wolfram.com/xid/0giuf2-emtamm


https://wolfram.com/xid/0giuf2-bs049y


https://wolfram.com/xid/0giuf2-cnhw1

Properties (8)

https://wolfram.com/xid/0giuf2-it1um

https://wolfram.com/xid/0giuf2-ejr68k


https://wolfram.com/xid/0giuf2-mt3t7


https://wolfram.com/xid/0giuf2-eouhsv

https://wolfram.com/xid/0giuf2-e4g16p


https://wolfram.com/xid/0giuf2-js2d4q

https://wolfram.com/xid/0giuf2-bs5807

Measure is ArcLength for a 1D region, Area for a 2D region and Volume for a 3D region:

https://wolfram.com/xid/0giuf2-hn6eg4


https://wolfram.com/xid/0giuf2-gnmftg


https://wolfram.com/xid/0giuf2-3558v

Compute the centroids of each:

https://wolfram.com/xid/0giuf2-lqn7h8


https://wolfram.com/xid/0giuf2-j51uqu

https://wolfram.com/xid/0giuf2-cjwhzj


https://wolfram.com/xid/0giuf2-d0r3yj


https://wolfram.com/xid/0giuf2-ep774d

https://wolfram.com/xid/0giuf2-bqkp1z


https://wolfram.com/xid/0giuf2-cfqrza


https://wolfram.com/xid/0giuf2-cdqw8w

https://wolfram.com/xid/0giuf2-guwdat

A Region is always bounded:

https://wolfram.com/xid/0giuf2-dp7bml

https://wolfram.com/xid/0giuf2-fleft3


https://wolfram.com/xid/0giuf2-bfx01m


https://wolfram.com/xid/0giuf2-jybt4z

https://wolfram.com/xid/0giuf2-dqr035

Wrappers (5)
Use wrappers on a Region:

https://wolfram.com/xid/0giuf2-ohfnq0


https://wolfram.com/xid/0giuf2-ptyaei

Add interactive behavior with wrappers such as Tooltip:

https://wolfram.com/xid/0giuf2-xaf02g

Any object can be used in the tooltip:

https://wolfram.com/xid/0giuf2-rwatnm

Use Button to trigger actions when clicking a Region:

https://wolfram.com/xid/0giuf2-mx0v9e

Use PopupWindow to provide information drilldown:

https://wolfram.com/xid/0giuf2-r74cry

Options (96)Common values & functionality for each option
AlignmentPoint (1)
Specify the position to be aligned in 3D Inset, using coordinates:

https://wolfram.com/xid/0giuf2-k75fdr


https://wolfram.com/xid/0giuf2-geuybr

AspectRatio (1)
Axes (2)
AxesEdge (2)
AxesLabel (2)
AxesOrigin (2)
AxesStyle (2)
BaselinePosition (3)
Align the center of a graphic with the baseline of the text:

https://wolfram.com/xid/0giuf2-tc1pq

Specify the baseline of a graphic as a fraction of the height by using Scaled:

https://wolfram.com/xid/0giuf2-euvr36

Use the axis of a graphic as the baseline:

https://wolfram.com/xid/0giuf2-b1gvwq

BaseStyle (2)
Boxed (2)
BoxRatios (2)
BoxStyle (1)
Epilog (1)
FaceGrids (4)
Put grids on every face of a 3D graphic:

https://wolfram.com/xid/0giuf2-n8e336


https://wolfram.com/xid/0giuf2-djaa04


https://wolfram.com/xid/0giuf2-larjbt

On the plane, put grid lines on
,
and
:

https://wolfram.com/xid/0giuf2-dkhj49

FaceGridsStyle (1)
Frame (2)
FrameLabel (2)
FrameStyle (2)
FrameTicks (3)
FrameTicksStyle (2)
GridLines (3)
GridLinesStyle (1)
ImageMargins (3)
Allow no margins outside of ImageSize:

https://wolfram.com/xid/0giuf2-edac4d

Have 20-point margins on all sides:

https://wolfram.com/xid/0giuf2-hekn3n

Draw grid lines at specific positions:

https://wolfram.com/xid/0giuf2-cjgeqb

ImagePadding (4)
Leave no padding outside the plot range:

https://wolfram.com/xid/0giuf2-qq1z4

Leave enough padding for all objects and labels that are present:

https://wolfram.com/xid/0giuf2-bjjxd7

Specify the same padding for all sides in printer's points:

https://wolfram.com/xid/0giuf2-c15vrm

Specify the same padding for all sides in printer's points:

https://wolfram.com/xid/0giuf2-is4zs

ImageSize (3)
LabelStyle (1)
Lighting (4)
Ambient light is uniformly applied to all the surfaces in the scene:

https://wolfram.com/xid/0giuf2-iiyvaj

Directional lights with different colors:

https://wolfram.com/xid/0giuf2-eerd5d

Point lights with different colors:

https://wolfram.com/xid/0giuf2-jm9gml

Spotlights with different colors:

https://wolfram.com/xid/0giuf2-lusz9k

PlotLabel (2)
Display a label on the top of the graphic in TraditionalForm:

https://wolfram.com/xid/0giuf2-fw6nb

Use Style and other typesetting functions to modify how the label appears:

https://wolfram.com/xid/0giuf2-e0qbi6

PlotRange (3)

https://wolfram.com/xid/0giuf2-n0agrv


https://wolfram.com/xid/0giuf2-iwxpgv

Force clipping at the PlotRange:

https://wolfram.com/xid/0giuf2-cjlns

PlotRange->s is equivalent to PlotRange->{{-s,s},{-s,s}}:

https://wolfram.com/xid/0giuf2-paoq8r

PlotRangeClipping (2)
PlotRangePadding (3)
Include 1 coordinate unit of padding on all sides:

https://wolfram.com/xid/0giuf2-se6pr

Include padding using Scaled coordinates:

https://wolfram.com/xid/0giuf2-jt4out

Specify different padding on each side:

https://wolfram.com/xid/0giuf2-da5ey

PlotRegion (3)
The contents of a graphic use the whole region:

https://wolfram.com/xid/0giuf2-cfjo4b

Limit the contents of the graphic to the middle half of the region in each direction:

https://wolfram.com/xid/0giuf2-9we2t

ImagePadding can also be used to add padding around a graphic:

https://wolfram.com/xid/0giuf2-b2wq27

PlotTheme (3)
Base Themes (2)
Prolog (1)
RotateLabel (2)
SphericalRegion (2)
Make a sequence of images be consistently sized, independent of orientation:

https://wolfram.com/xid/0giuf2-kcng5s

Without SphericalRegion, each image is made as big as possible:

https://wolfram.com/xid/0giuf2-g8bpwn

Ticks (3)
TicksStyle (2)
ViewAngle (1)
ViewCenter (1)
ViewMatrix (1)
ViewPoint (3)
ViewRange (2)
ViewVector (1)
Properties & Relations (2)Properties of the function, and connections to other functions
Region can have any geometric dimension:

https://wolfram.com/xid/0giuf2-kltl38

https://wolfram.com/xid/0giuf2-cu2ory

RegionQ can be used to test whether a region is a Region:

https://wolfram.com/xid/0giuf2-bppu3f


https://wolfram.com/xid/0giuf2-4bv4pr

Wolfram Research (2017), Region, Wolfram Language function, https://reference.wolfram.com/language/ref/Region.html (updated 2017).
Text
Wolfram Research (2017), Region, Wolfram Language function, https://reference.wolfram.com/language/ref/Region.html (updated 2017).
Wolfram Research (2017), Region, Wolfram Language function, https://reference.wolfram.com/language/ref/Region.html (updated 2017).
CMS
Wolfram Language. 2017. "Region." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Region.html.
Wolfram Language. 2017. "Region." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Region.html.
APA
Wolfram Language. (2017). Region. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Region.html
Wolfram Language. (2017). Region. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Region.html
BibTeX
@misc{reference.wolfram_2025_region, author="Wolfram Research", title="{Region}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/Region.html}", note=[Accessed: 09-July-2025
]}
BibLaTeX
@online{reference.wolfram_2025_region, organization={Wolfram Research}, title={Region}, year={2017}, url={https://reference.wolfram.com/language/ref/Region.html}, note=[Accessed: 09-July-2025
]}