InscribedBall

InscribedBall[{p1,p2,…}]

gives the largest ball that lies inside the convex hull of the points p1,p2,….

Details

  • InscribedBall is also known as plug gauge circle or maximum inscribed circle.
  • InscribedBall gives the Ball of largest measure (arc length, area, etc.) that can be inscribed in the convex hull of a set of points.

Examples

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Basic Examples  (2)

A 2D inscribed ball from points:

The region is the largest ball that lies inside the convex hull of the points:

A 3D inscribed ball from points:

The region is the largest ball that lies inside the convex hull of the points:

Scope  (1)

Create a 1D inscribed ball from a set of points:

A 2D inscribed ball:

A 3D inscribed ball:

Applications  (1)

Inscribed balls inside a Voronoi mesh:

Properties & Relations  (3)

InscribedBall is the largest Ball that lies inside the convex hull of points:

Use CircumscribedBall to get the smallest Ball that encloses the points:

Use Insphere to get the Sphere that can be inscribed in the simplex defined by points:

Wolfram Research (2023), InscribedBall, Wolfram Language function, https://reference.wolfram.com/language/ref/InscribedBall.html.

Text

Wolfram Research (2023), InscribedBall, Wolfram Language function, https://reference.wolfram.com/language/ref/InscribedBall.html.

CMS

Wolfram Language. 2023. "InscribedBall." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InscribedBall.html.

APA

Wolfram Language. (2023). InscribedBall. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InscribedBall.html

BibTeX

@misc{reference.wolfram_2025_inscribedball, author="Wolfram Research", title="{InscribedBall}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/InscribedBall.html}", note=[Accessed: 30-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_inscribedball, organization={Wolfram Research}, title={InscribedBall}, year={2023}, url={https://reference.wolfram.com/language/ref/InscribedBall.html}, note=[Accessed: 30-July-2025 ]}