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  (3)

InnerPolyhedron works on polyhedrons:

Tetrahedron:

Hexahedron:

Polyhedrons with disconnected components:

Polyhedrons in :

Properties & Relations  (1)

InnerPolyhedron of a simple polyhedron is an empty polyhedron:

Introduced in 2019
 (12.0)