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RegionDifference—Wolfram Language Documentation

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BUILT-IN SYMBOL Details and Options Examplesopen allclose all Basic Examples  (2)

Difference of two disks:

Visualize it:

Difference of two MeshRegion objects:

Scope  (12) Special Regions  (6)

For some regions, the difference is computed explicitly:

The regions are disjoint:

Here the difference is empty:

The cuboid is contained in the ball:

A difference of Line regions:

Visualize it:

A difference of Polygon regions:

Visualize it:

A difference of two Cuboid regions:

Visualize it:

A difference of regions with different RegionDimension:

Visualize it:

Applications  (4)

Difference of regions:

Define a disk annulus as the difference of two disks:

The area is the difference of areas:

Define a ball shell (sometimes called spherical shell) as the generalization of an annulus to 3D:

The volume is the difference of volumes:

Create illusory contours:

Properties & Relations  (5) Neat Examples  (1)

The difference of two spiral polygons:

Wolfram Research (2014), RegionDifference, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionDifference.html (updated 2017). Text

Wolfram Research (2014), RegionDifference, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionDifference.html (updated 2017).

CMS

Wolfram Language. 2014. "RegionDifference." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/RegionDifference.html.

APA

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

BibTeX

@misc{reference.wolfram_2025_regiondifference, author="Wolfram Research", title="{RegionDifference}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/RegionDifference.html}", note=[Accessed: 11-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_regiondifference, organization={Wolfram Research}, title={RegionDifference}, year={2017}, url={https://reference.wolfram.com/language/ref/RegionDifference.html}, note=[Accessed: 11-July-2025 ]}


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