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ConnectedMeshComponents[mr]

gives a list {c1,c2,…} of disjoint path connected meshed regions.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Properties & Relations  
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ConnectedMeshComponents

ConnectedMeshComponents[mr]

gives a list {c1,c2,…} of disjoint path connected meshed regions.

Details and Options

Examples

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Basic Examples  (2)

Separate the mesh for disjoint circles:

Wolfram Language code: mr = DiscretizeGraphics[Graphics[{Disk[{-2, 0}], Disk[{0, -2}]}]]
Wolfram Language code: ConnectedMeshComponents[mr]

Separate the pieces for a boundary representation with two components:

Wolfram Language code: bmr = BoundaryMeshRegion[{{0, -1}, {-1, 0}, {0, 0}, {1, 0}, {0, 1}, {-1 / 2, 1 / 2}, {-1, 1 / 2}, {-1 / 2, 1}}, Line[{1, 3, 2, 1}], Line[{3, 4, 5, 3}], Line[{6, 7, 8, 6}]]

Separate the connected components:

Wolfram Language code: ConnectedMeshComponents[bmr]

Scope  (6)

Connected mesh components in 1D:

Wolfram Language code: mr = MeshRegion[{{0}, {1}, {2}}, {Point[{1}], Line[{2, 3}]}]
Wolfram Language code: c = ConnectedMeshComponents[mr]

The result is a list of MeshRegion:

Wolfram Language code: MeshRegionQ /@ c

Connected lines:

Wolfram Language code: mr = MeshRegion[{{0}, {1}, {2}, {3}, {4}, {5}}, {Line[{1, 3}], Line[{3, 4}], Line[{5, 6}]}]
Wolfram Language code: ConnectedMeshComponents[mr]

Connected mesh components of a 1D BoundaryMeshRegion:

Wolfram Language code: br = BoundaryMeshRegion[{{0}, {1}, {2}, {4}, {6}, {9}}, {Point[{1, 6}], Point[{2, 3}], Point[{4, 5}]}]
Wolfram Language code: c = ConnectedMeshComponents[br]

The result is a list of BoundaryMeshRegion:

Wolfram Language code: BoundaryMeshRegionQ /@ c

Separate the mesh for disjoint disks:

Wolfram Language code: mr = DiscretizeGraphics[Graphics[{Disk[{-3, 1}], Disk[{0, 2}], Disk[{0, 1}]}]]
Wolfram Language code: ConnectedMeshComponents[mr]

Separate nested components to single outer-inner pairs:

Wolfram Language code: nb = 7; X = Join@@Table[k{{-1, -1}, {1, -1}, {1, 1}, {-1, 1}}, {k, nb}]; cells = Table[Line[{1, 2, 3, 4, 1} + 4(k - 1)], {k, nb}];
Wolfram Language code: b = Apply[BoundaryMeshRegion, Prepend[cells, X]]
Wolfram Language code: ConnectedMeshComponents[b]

Mixed dimensions:

Wolfram Language code: mr = MeshRegion[{{0, 0, 0}, {1, 0, 0}, {2, 0, 0}, {3, 0, -1 / 2}, {3, 0, 1 / 2}, {4, -1 / 2, 0}, {4, 1 / 2, 0}}, {Point[1], Line[{2, 3}], Triangle[{3, 4, 5}], Tetrahedron[{4, 6, 5, 7}]}]
Wolfram Language code: ConnectedMeshComponents[mr]

Properties & Relations  (1)

All components of a VoronoiMesh, DelaunayMesh, and ConvexHullMesh are connected:

Wolfram Language code: pts = RandomReal[1, {10, 2}];
Wolfram Language code: {vm, dm, cm} = {VoronoiMesh[pts], DelaunayMesh[pts], ConvexHullMesh[pts]}
Wolfram Language code: ConnectedMeshComponents /@ {vm, dm, cm}
Wolfram Research (2014), ConnectedMeshComponents, Wolfram Language function, https://reference.wolfram.com/language/ref/ConnectedMeshComponents.html.

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_connectedmeshcomponents, author="Wolfram Research", title="{ConnectedMeshComponents}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/ConnectedMeshComponents.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_connectedmeshcomponents, organization={Wolfram Research}, title={ConnectedMeshComponents}, year={2014}, url={https://reference.wolfram.com/language/ref/ConnectedMeshComponents.html}, note=[Accessed: 12-June-2026]}