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SimplePolyhedronQ

SimplePolyhedronQ[poly]

gives True if the polyhedron poly is simple and False otherwise.

Details

A polyhedron is simple if it has no voids and non-intersecting boundary faces.

A simple polyhedron is topologically equivalent to a ball.

Examples

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Basic Examples (2)

Test whether a polyhedron is simple:

SimplePolyhedronQ gives False for non-simple polyhedrons:

Scope (3)

SimplePolyhedronQ works on polyhedrons:

Polyhedron with holes:

Polyhedrons with disconnected components:

Properties & Relations (3)

A convex polyhedron is simple:

The OuterPolyhedron of a simple polyhedron is simple:

Simple polyhedrons do not have holes:

The UniformPolyhedron is simple:

Possible Issues (1)

For nonconstant polyhedrons, SimplePolyhedronQ returns False:

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