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RegionUnion—Wolfram Language Documentation

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• See Also
  • RegionIntersection
  • RegionDifference
  • RegionSymmetricDifference
  • BooleanRegion
• Related Guides
  • Derived Geometric Regions
  • Geometric Computation
  • Polygons
  • Polyhedra
  • Plane Geometry
  • Solid Geometry

RegionUnion[reg₁,reg₂,…]

gives the union of the regions reg₁, reg₂, ….

Union of two disks:

Visualize it:

Union of two MeshRegion objects:

For some regions, the union is computed explicitly:

Visualize the union:

A union of Line regions:

Visualize it:

With overlap:

Visualize it:

A union of Polygon regions:

Visualize it:

A union of two Disk regions:

Visualize it:

A union of two Cuboid regions:

Visualize it:

A union of regions with different RegionDimension:

Visualize it:

Union of regions:

Union of all South America countries to get the map:

Country regions:

South America map:

Define a stadium as the union of disks and a rectangle:

The area is the sum of disk and quadrilateral areas:

Define a capsule as the union of balls and a cylinder:

The volume is the sum of the ball and cylinder volumes:

By taking a RegionUnion of many disks, dilation of a mesh can be approximated:

Create disks of the dilation radius around the mesh boundary:

Then simply take the union of all disks plus the original mesh:

By removing a RegionUnion of many disks, erosion of a mesh can be approximated:

Create disks of the erosion radius around the mesh boundary:

Then subtract the union of the disks from the original mesh:

The union of two spiral polygons:

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