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ConstantRegionQ—Wolfram Language Documentation

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BUILT-IN SYMBOL

Details

ConstantRegionQ is also known as parameter-free region.
A region is considered constant if it does not depend on symbolic parameters.
Only constant regions can be discretized using DiscretizeRegion or rendered using Graphics etc.

Examplesopen allclose all Basic Examples (3)

A constant region:

A nonconstant region:

A nonconstant region representing a whole family of regions, with random instances below:

Some operations require constant regions:

Some operations can give results for nonconstant regions:

Scope (16) Formula Regions (3)

A disk represented as an ImplicitRegion:

A cylinder:

Since is not one of the variables, the region is no longer constant:

A disk represented as a ParametricRegion:

Using a rational parametrization of the disk:

A cylinder:

Since is not one of the variables, the region is no longer constant:

ImplicitRegion can have several components of different dimension:

Applications (2)

Create a definition that only applies to constant regions:

Select only constant regions from a list of regions:

Only constant regions can be discretized:

Properties & Relations (3) Possible Issues (2)

Some functions require constant regions:

Replace the symbolic parameters to make the region constant:

RegionMember returns True or False if the region is constant:

RegionMember returns conditions if the region is not constant:

Wolfram Research (2014), ConstantRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/ConstantRegionQ.html. Text Wolfram Research (2014), ConstantRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/ConstantRegionQ.html.CMS Wolfram Language. 2014. "ConstantRegionQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ConstantRegionQ.html.APA Wolfram Language. (2014). ConstantRegionQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ConstantRegionQ.htmlBibTeX @misc{reference.wolfram_2025_constantregionq, author="Wolfram Research", title="{ConstantRegionQ}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/ConstantRegionQ.html}", note=[Accessed: 11-July-2025 ]}BibLaTeX @online{reference.wolfram_2025_constantregionq, organization={Wolfram Research}, title={ConstantRegionQ}, year={2014}, url={https://reference.wolfram.com/language/ref/ConstantRegionQ.html}, note=[Accessed: 11-July-2025 ]}

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