BoundedRegionQ
✖
BoundedRegionQ
Examples
open allclose allBasic Examples (2)Summary of the most common use cases
Scope (18)Survey of the scope of standard use cases
Special Regions (4)
Regions in including Point:

https://wolfram.com/xid/01zel36dzur-7tst6f


https://wolfram.com/xid/01zel36dzur-dj73or


https://wolfram.com/xid/01zel36dzur-eoamtr

A HalfLine is unbounded:

https://wolfram.com/xid/01zel36dzur-p4ffeh

Regions in including Point:

https://wolfram.com/xid/01zel36dzur-e3sii5


https://wolfram.com/xid/01zel36dzur-lba1w1

Line:

https://wolfram.com/xid/01zel36dzur-7ow13g


https://wolfram.com/xid/01zel36dzur-cvkhkk


https://wolfram.com/xid/01zel36dzur-n7vm36


https://wolfram.com/xid/01zel36dzur-gcmddu


https://wolfram.com/xid/01zel36dzur-v5tx6


https://wolfram.com/xid/01zel36dzur-8gritl

Disk:

https://wolfram.com/xid/01zel36dzur-siy4wx


https://wolfram.com/xid/01zel36dzur-i64gy

An InfiniteLine is unbounded:

https://wolfram.com/xid/01zel36dzur-g5uifj


https://wolfram.com/xid/01zel36dzur-bt30d8

Regions in including Point:

https://wolfram.com/xid/01zel36dzur-j2v4ga


https://wolfram.com/xid/01zel36dzur-eeut6h

Line:

https://wolfram.com/xid/01zel36dzur-r9ycq9


https://wolfram.com/xid/01zel36dzur-kntd0w


https://wolfram.com/xid/01zel36dzur-q8f7mk


https://wolfram.com/xid/01zel36dzur-dd6avs

A HalfPlane is unbounded:

https://wolfram.com/xid/01zel36dzur-f2y6wn


https://wolfram.com/xid/01zel36dzur-m1mme9

Regions in including Simplex in
:

https://wolfram.com/xid/01zel36dzur-dvw3bn

Cuboid in :

https://wolfram.com/xid/01zel36dzur-cst625

Ball in :

https://wolfram.com/xid/01zel36dzur-ml0h0x

Formula Regions (3)
A parabolic region as an ImplicitRegion:

https://wolfram.com/xid/01zel36dzur-xbpzk

https://wolfram.com/xid/01zel36dzur-bhou2p


https://wolfram.com/xid/01zel36dzur-qjnxx


https://wolfram.com/xid/01zel36dzur-b9ijej

A parabola represented as a ParametricRegion:

https://wolfram.com/xid/01zel36dzur-fogd2z

https://wolfram.com/xid/01zel36dzur-8v8wqg


https://wolfram.com/xid/01zel36dzur-jgtmd

Using a rational parametrization of the disk:

https://wolfram.com/xid/01zel36dzur-c7u65m
The region is bounded, but the parameter is unbounded:

https://wolfram.com/xid/01zel36dzur-d5r1up

ImplicitRegion can have several components of different dimension:

https://wolfram.com/xid/01zel36dzur-d4mmo3

https://wolfram.com/xid/01zel36dzur-5bdj3a


https://wolfram.com/xid/01zel36dzur-bynuh2

Mesh Regions (4)
MeshRegion in 1D:

https://wolfram.com/xid/01zel36dzur-iqe1up


https://wolfram.com/xid/01zel36dzur-ehbrzk


https://wolfram.com/xid/01zel36dzur-c3y92k


https://wolfram.com/xid/01zel36dzur-gvtt33


https://wolfram.com/xid/01zel36dzur-cjwqu5


https://wolfram.com/xid/01zel36dzur-unylaj

BoundaryMeshRegion in 1D:

https://wolfram.com/xid/01zel36dzur-drx9rf


https://wolfram.com/xid/01zel36dzur-c5odcz


https://wolfram.com/xid/01zel36dzur-f7vysv


https://wolfram.com/xid/01zel36dzur-ki2nz3


https://wolfram.com/xid/01zel36dzur-nptsvs


https://wolfram.com/xid/01zel36dzur-ct48wo

MeshRegion that represents a curve in 2D:

https://wolfram.com/xid/01zel36dzur-qkprr


https://wolfram.com/xid/01zel36dzur-h9ete0

A MeshRegion can have components of different dimension:

https://wolfram.com/xid/01zel36dzur-cuq63


https://wolfram.com/xid/01zel36dzur-0no20h

Derived Regions (4)
RegionIntersection of two regions:

https://wolfram.com/xid/01zel36dzur-h26j4l

https://wolfram.com/xid/01zel36dzur-7i1z1p


https://wolfram.com/xid/01zel36dzur-qvjt67

RegionUnion of mixed-dimensional regions:

https://wolfram.com/xid/01zel36dzur-2bfm2l

https://wolfram.com/xid/01zel36dzur-wio6nk


https://wolfram.com/xid/01zel36dzur-zbaaik


https://wolfram.com/xid/01zel36dzur-rzrhgq

https://wolfram.com/xid/01zel36dzur-ke6drp


https://wolfram.com/xid/01zel36dzur-b8clh7


https://wolfram.com/xid/01zel36dzur-sqzso4


https://wolfram.com/xid/01zel36dzur-4z7fpt


https://wolfram.com/xid/01zel36dzur-2d1mzx

Geographic Regions (3)
A polygon with GeoPosition:

https://wolfram.com/xid/01zel36dzur-1lk1dy

https://wolfram.com/xid/01zel36dzur-8vjhh8

Polygons with GeoPositionXYZ:

https://wolfram.com/xid/01zel36dzur-4dy58p

https://wolfram.com/xid/01zel36dzur-pzmsx0

Polygons with GeoPositionENU:

https://wolfram.com/xid/01zel36dzur-sz3fv8

https://wolfram.com/xid/01zel36dzur-pjpdg1

A polygon with GeoGridPosition:

https://wolfram.com/xid/01zel36dzur-ipsiqu

https://wolfram.com/xid/01zel36dzur-yjciq7

BoundedRegionQ works on polygons with geographic entities:

https://wolfram.com/xid/01zel36dzur-grgzb4

https://wolfram.com/xid/01zel36dzur-kv7keh

Applications (2)Sample problems that can be solved with this function
Create a definition that only applies to bounded regions:

https://wolfram.com/xid/01zel36dzur-jj8pzv

https://wolfram.com/xid/01zel36dzur-upg4t1

Find an enclosing Sphere for a region:

https://wolfram.com/xid/01zel36dzur-qzrzru

https://wolfram.com/xid/01zel36dzur-qkc1x2

https://wolfram.com/xid/01zel36dzur-7e8nb9

https://wolfram.com/xid/01zel36dzur-l1lw2r

https://wolfram.com/xid/01zel36dzur-1pz6cu

https://wolfram.com/xid/01zel36dzur-cnh675

https://wolfram.com/xid/01zel36dzur-rnipcz

Properties & Relations (5)Properties of the function, and connections to other functions
RegionIntersection is bounded if at least one region is BoundedRegionQ:

https://wolfram.com/xid/01zel36dzur-7yzwqq

https://wolfram.com/xid/01zel36dzur-73nl6v

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

https://wolfram.com/xid/01zel36dzur-jj6s4f

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

https://wolfram.com/xid/01zel36dzur-euxtiz
Since the transformation is bounded, the resulting region is bounded:

https://wolfram.com/xid/01zel36dzur-des2qd


https://wolfram.com/xid/01zel36dzur-e2zm9h

RegionBounds finds a bounding box that includes the region:

https://wolfram.com/xid/01zel36dzur-0yqghi

https://wolfram.com/xid/01zel36dzur-x90mli

The bounds are finite for a bounded region:

https://wolfram.com/xid/01zel36dzur-blk742

The bounds are infinite for an unbounded region:

https://wolfram.com/xid/01zel36dzur-mdxk2n

The RegionMeasure of a bounded region is finite:

https://wolfram.com/xid/01zel36dzur-ujsdqx

https://wolfram.com/xid/01zel36dzur-zk4m20

The RegionMeasure of an unbounded region is infinite:

https://wolfram.com/xid/01zel36dzur-fd9amf

https://wolfram.com/xid/01zel36dzur-8w5vaf

The RegionCentroid of a bounded region is finite:

https://wolfram.com/xid/01zel36dzur-jwltuc

https://wolfram.com/xid/01zel36dzur-rk0x5k

The RegionCentroid of an unbounded region is Indeterminate:

https://wolfram.com/xid/01zel36dzur-ivn177

https://wolfram.com/xid/01zel36dzur-eqy89w

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.
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.
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
Wolfram Language. (2014). BoundedRegionQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BoundedRegionQ.html
BibTeX
@misc{reference.wolfram_2025_boundedregionq, author="Wolfram Research", title="{BoundedRegionQ}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/BoundedRegionQ.html}", note=[Accessed: 03-May-2025
]}
BibLaTeX
@online{reference.wolfram_2025_boundedregionq, organization={Wolfram Research}, title={BoundedRegionQ}, year={2014}, url={https://reference.wolfram.com/language/ref/BoundedRegionQ.html}, note=[Accessed: 03-May-2025
]}