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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 p_k are explicit coordinates, and f_k 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:

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:

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