OuterPolyhedron

OuterPolyhedron[poly]

gives the outer polyhedron of the polyhedron poly.

Details

  • OuterPolyhedron is also known as polyhedron outer shell.
  • Typically used to decompose a polyhedron as a difference of simple polyhedra, even when the original construction of the polyhedron was using crossing curves etc.
  • OuterPolyhedron is defined by the canonicalization performed in CanonicalizePolyhedron.
  • OuterPolyhedron 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.
  • In general, the result will be a Polyhedron object representing a disjoint union of simple polygons.

Examples

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Basic Examples  (1)

Get the outer polyhedron:

Scope  (3)

OuterPolyhedron works on polyhedrons:

Tetrahedron:

Cube:

Polyhedron with holes:

Polyhedrons with disconnected components:

Properties & Relations  (2)

OuterPolyhedron of a simple polyhedron is the polyhedron itself:

A simple polyhedron has the same polyhedron coordinates as its OuterPolyhedron:

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

Text

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

BibTeX

@misc{reference.wolfram_2021_outerpolyhedron, author="Wolfram Research", title="{OuterPolyhedron}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/OuterPolyhedron.html}", note=[Accessed: 25-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_outerpolyhedron, organization={Wolfram Research}, title={OuterPolyhedron}, year={2019}, url={https://reference.wolfram.com/language/ref/OuterPolyhedron.html}, note=[Accessed: 25-September-2021 ]}

CMS

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

APA

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