We deliver solutions for the AI eraâcombining symbolic computation, data-driven insights and deep technology expertise.
Region[reg]
represents a geometric region.
Region[reg,options]
gives a region that uses the specified options.
Examplesopen allclose all Basic Examples (3)A MeshRegion is a Region with an additional mesh structure:
Region represents the underlying three-dimensional point set without the mesh structure:
Style a Region:
Scope (35) Regions (14) Regions in 1D (3)A strictly 0D Region is a point set:
A strictly 1D Region is a collection of line segments:
A Region can combine elements of different dimensions:
Regions in 2D (5)A strictly 0D Region is a point set:
A strictly 1D Region is a collection of line segments:
A strictly 2D Region is a collection of polygonal faces:
A Region can combine elements of different dimensions:
Polygons with GeoGridPosition:
Presentation (8) Properties (8)Measure is ArcLength for a 1D region, Area for a 2D region and Volume for a 3D region:
Compute the centroids of each:
A Region is always bounded:
Wrappers (5)Use wrappers on a Region:
Add interactive behavior with wrappers such as Tooltip:
Any object can be used in the tooltip:
Use Button to trigger actions when clicking a Region:
Use PopupWindow to provide information drilldown:
Options (96) AlignmentPoint (1)Specify the position to be aligned in 3D Inset, using coordinates:
Axes (2)Draw the axis but not the axis:
AxesEdge (2)Choose the bounding box edges automatically to draw the axes:
Choose the bounding box edges automatically to draw the axes:
AxesLabel (2)Specify a label for each axis:
AxesOrigin (2)Determine where the axes cross automatically:
Specify the axes' origin explicitly:
AxesStyle (2)Specify the overall axes style, including the ticks and the tick labels:
Specify the style of each axis:
Background (1) BaselinePosition (3)Align the center of a graphic with the baseline of the text:
Specify the baseline of a graphic as a fraction of the height by using Scaled:
Use the axis of a graphic as the baseline:
BaseStyle (2) Boxed (2)Draw the edges of the bounding box:
Do not draw the edges of the bounding box:
BoxRatios (2)Specify the ratios between the bounding box edges:
Use the actual coordinate values for the ratios:
BoxStyle (1)Use dashed lines for the bounding box:
Epilog (1)Draw a disk above the graphic, including the axes:
FaceGrids (4)Put grids on every face of a 3D graphic:
On the plane, put grid lines on , and :
FaceGridsStyle (1)Specify the overall style of face grids:
Frame (2)Draw a frame around the whole graphic:
Draw a frame on the left and right edges:
FrameLabel (2)Specify frame labels for the bottom and left edges:
FrameStyle (2)Specify the overall frame style:
Specify the style of each frame edge:
FrameTicks (3)Tick mark labels on the bottom and left frame edges:
Frame ticks on the bottom and right edges:
FrameTicksStyle (2)Specify frame tick and frame tick label style:
Specify frame tick style for each edge:
GridLines (3)Put grids across a 2D graphic:
Draw grid lines at specific positions:
Specify the style of each grid:
GridLinesStyle (1)Specify the overall grid style:
ImageMargins (3)Allow no margins outside of ImageSize:
Have 20-point margins on all sides:
Draw grid lines at specific positions:
ImagePadding (4)Leave no padding outside the plot range:
Leave enough padding for all objects and labels that are present:
Specify the same padding for all sides in printer's points:
Specify the same padding for all sides in printer's points:
ImageSize (3)Use predefined symbolic sizes:
Use an explicit image width and height:
LabelStyle (1)Specify the overall style of all the label-like elements:
Lighting (4)Ambient light is uniformly applied to all the surfaces in the scene:
Directional lights with different colors:
Point lights with different colors:
Spotlights with different colors:
PlotLabel (2)Display a label on the top of the graphic in TraditionalForm:
Use Style and other typesetting functions to modify how the label appears:
PlotRange (3)Force clipping at the PlotRange:
PlotRange->s is equivalent to PlotRange->{{-s,s},{-s,s}}:
PlotRangeClipping (2)Allow graphics objects to spread beyond PlotRange:
Clip all graphics objects at PlotRange:
PlotRangePadding (3)Include 1 coordinate unit of padding on all sides:
Include padding using Scaled coordinates:
Specify different padding on each side:
PlotRegion (3)The contents of a graphic use the whole region:
Limit the contents of the graphic to the middle half of the region in each direction:
ImagePadding can also be used to add padding around a graphic:
PlotTheme (3) Base Themes (2) Feature Themes (1)Use a theme to draw sampled points from mesh cells:
Prolog (1)Define a simple graphic to use as a background:
Use it in multiple mesh regions:
RotateLabel (2)Specify that vertical frame labels should be rotated:
Specify that vertical frame labels should not be rotated:
SphericalRegion (2)Make a sequence of images be consistently sized, independent of orientation:
Without SphericalRegion, each image is made as big as possible:
Ticks (3)Draw the axes but no tick marks:
Place tick marks automatically:
Draw tick marks at specific positions:
TicksStyle (2)Specify the styles of the ticks and tick labels:
Specify the styles of and axis ticks separately:
ViewAngle (1)Use a specific angle for a simulated camera:
ViewCenter (1)Place the top-right corner of the object at the center of the final image:
ViewMatrix (1)Orthographic view of a mesh region from the negative direction:
ViewPoint (3)Specify the view point using the special scaled coordinates:
ViewRange (2)By default, the range is sufficient to include all the objects:
Specify the minimum and maximum distances from the camera to be included:
ViewVector (1)Specify the view vectors using ordinary coordinates:
ViewVertical (2)Use the axis direction as the vertical direction in the final image:
Various views of vertical directions:
Properties & Relations (2)Region can have any geometric dimension:
RegionQ can be used to test whether a region is a Region:
Wolfram Research (2017), Region, Wolfram Language function, https://reference.wolfram.com/language/ref/Region.html (updated 2017). TextWolfram Research (2017), Region, Wolfram Language function, https://reference.wolfram.com/language/ref/Region.html (updated 2017).
CMSWolfram Language. 2017. "Region." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Region.html.
APAWolfram 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: 11-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: 11-July-2025 ]}
RetroSearch is an open source project built by @garambo | Open a GitHub Issue
Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo
HTML:
3.2
| Encoding:
UTF-8
| Version:
0.7.4