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RegionMaxCurvature[reg,p]

gives the maximum curvature of the region reg at the point p.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Special Regions  
Formula Regions  
Mesh Regions  
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RegionMaxCurvature

RegionMaxCurvature[reg,p]

gives the maximum curvature of the region reg at the point p.

Details

  • RegionMaxCurvature is also known as a principal curvature.
  • RegionMaxCurvature is typically used to measure how the surface bends in a normal direction at point.
  • RegionMaxCurvature[reg,p] gives the maximum value of the curvature of the surface reg at p in a normal direction.

Examples

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Basic Examples  (1)

Find the maximum curvature of the unit sphere at the point:

Find the maximum curvature of a mesh region at vertex index 1:

At the point:

Scope  (10)

Special Regions  (6)

The minimum curvature of a Cuboid at the point:

Parallelepiped:

Simplex in 3D:

Ball:

Ellipsoid:

CapsuleShape:

Formula Regions  (2)

The maximum curvature of a sphere represented as an ImplicitRegion:

A hyperboloid:

Mesh Regions  (2)

The maximum curvature of a MeshRegion:

Use "MeshCoordinates" to compute the maximum curvature at each vertex of the mesh:

The maximum curvature of a BoundaryMeshRegion:

Use "MeshCoordinates" to compute the maximum curvature at each vertex of the boundary mesh:

Wolfram Research (2025), RegionMaxCurvature, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionMaxCurvature.html.

Text

Wolfram Research (2025), RegionMaxCurvature, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionMaxCurvature.html.

CMS

Wolfram Language. 2025. "RegionMaxCurvature." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionMaxCurvature.html.

APA

Wolfram Language. (2025). RegionMaxCurvature. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionMaxCurvature.html

BibTeX

@misc{reference.wolfram_2025_regionmaxcurvature, author="Wolfram Research", title="{RegionMaxCurvature}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/RegionMaxCurvature.html}", note=[Accessed: 04-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_regionmaxcurvature, organization={Wolfram Research}, title={RegionMaxCurvature}, year={2025}, url={https://reference.wolfram.com/language/ref/RegionMaxCurvature.html}, note=[Accessed: 04-August-2025]}