# InnerPolyhedron

InnerPolyhedron[poly]

gives the inner polyhedron of the polyhedron poly.

# Details

• InnerPolyhedron is also known as polyhedron inner void.
• Typically used to decompose a polyhedron as a difference of simple polyhedrons, even when the original construction of the polyhedron was using crossing polygon faces etc.
• InnerPolyhedron is defined by the canonicalization performed in CanonicalizePolyhedron.
• InnerPolyhedron gives a polyhedron of the form Polyhedron[{p1,p2,}, {{f1,f2,},}], where pk are explicit coordinates, and fk are integer lists referring to polygon faces.
• If poly is a polyhedron without a void, then the result is an EmptyRegion object.

# Examples

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## Basic Examples(1)

Get the inner polyhedron:

## Scope(4)

InnerPolyhedron works on polyhedrons:

Polyhedron with holes:

Polyhedrons with disconnected components:

Polyhedrons in :

## Properties & Relations(1)

InnerPolyhedron of a simple polyhedron is an empty polyhedron:

Wolfram Research (2019), InnerPolyhedron, Wolfram Language function, https://reference.wolfram.com/language/ref/InnerPolyhedron.html.

#### Text

Wolfram Research (2019), InnerPolyhedron, Wolfram Language function, https://reference.wolfram.com/language/ref/InnerPolyhedron.html.

#### BibTeX

@misc{reference.wolfram_2020_innerpolyhedron, author="Wolfram Research", title="{InnerPolyhedron}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/InnerPolyhedron.html}", note=[Accessed: 23-January-2021 ]}

#### BibLaTeX

@online{reference.wolfram_2020_innerpolyhedron, organization={Wolfram Research}, title={InnerPolyhedron}, year={2019}, url={https://reference.wolfram.com/language/ref/InnerPolyhedron.html}, note=[Accessed: 23-January-2021 ]}

#### CMS

Wolfram Language. 2019. "InnerPolyhedron." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InnerPolyhedron.html.

#### APA

Wolfram Language. (2019). InnerPolyhedron. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InnerPolyhedron.html