# BoundedRegionQ

BoundedRegionQ[reg]

gives True if reg is a bounded region and False otherwise.

# Details

• A region is bounded if it can be included in a box with finite ranges.

# Examples

open allclose all

## Basic Examples(2)

A bounded region:

An unbounded region:

## Scope(18)

### Special Regions(4)

Regions in including Point:

A HalfLine is unbounded:

Regions in including Point:

Line:

Disk:

An InfiniteLine is unbounded:

Regions in including Point:

Line:

A HalfPlane is unbounded:

Regions in including Simplex in :

Cuboid in :

Ball in :

### Formula Regions(3)

A parabolic region as an ImplicitRegion:

A cylinder:

A parabola represented as a ParametricRegion:

Using a rational parametrization of the disk:

The region is bounded, but the parameter is unbounded:

ImplicitRegion can have several components of different dimension:

### Mesh Regions(4)

MeshRegion in 1D:

2D:

3D:

BoundaryMeshRegion in 1D:

2D:

3D:

MeshRegion that represents a curve in 2D:

A MeshRegion can have components of different dimension:

### Derived Regions(4)

RegionIntersection of two regions:

RegionUnion of mixed-dimensional regions:

### Geographic Regions(3)

A polygon with GeoPosition:

Polygons with GeoPositionXYZ:

Polygons with GeoPositionENU:

A polygon with GeoGridPosition:

BoundedRegionQ works on polygons with geographic entities:

## Applications(2)

Create a definition that only applies to bounded regions:

Find an enclosing Sphere for a region:

Compute bounds:

Compute enclosing sphere:

Visualize it:

## Properties & Relations(5)

RegionIntersection is bounded if at least one region is BoundedRegionQ:

Since there is one bounded region, the intersection is bounded:

TransformedRegion will be bounded if the regions and transformation are bounded:

Since the transformation is bounded, the resulting region is bounded:

RegionBounds finds a bounding box that includes the region:

The bounds are finite for a bounded region:

The bounds are infinite for an unbounded region:

The RegionMeasure of a bounded region is finite:

The RegionMeasure of an unbounded region is infinite:

The RegionCentroid of a bounded region is finite:

The RegionCentroid of an unbounded region is Indeterminate:

Wolfram Research (2014), BoundedRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/BoundedRegionQ.html.

#### Text

Wolfram Research (2014), BoundedRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/BoundedRegionQ.html.

#### CMS

Wolfram Language. 2014. "BoundedRegionQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BoundedRegionQ.html.

#### APA

Wolfram Language. (2014). BoundedRegionQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BoundedRegionQ.html

#### BibTeX

@misc{reference.wolfram_2024_boundedregionq, author="Wolfram Research", title="{BoundedRegionQ}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/BoundedRegionQ.html}", note=[Accessed: 04-August-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_boundedregionq, organization={Wolfram Research}, title={BoundedRegionQ}, year={2014}, url={https://reference.wolfram.com/language/ref/BoundedRegionQ.html}, note=[Accessed: 04-August-2024 ]}