# 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_2023_inscribedball, author="Wolfram Research", title="{InscribedBall}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/InscribedBall.html}", note=[Accessed: 15-April-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2023_inscribedball, organization={Wolfram Research}, title={InscribedBall}, year={2023}, url={https://reference.wolfram.com/language/ref/InscribedBall.html}, note=[Accessed: 15-April-2024 ]}