PolyhedronAngle

PolyhedronAngle[poly,p]

gives the solid angle at the point p and spanned by edges with common point p.

PolyhedronAngle[poly,e]

gives the dihedral angle between the two faces with common edge e.

Details

Examples

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Basic Examples  (2)

The dihedral angle between two faces with common edge {1,2} of in canonical form:

The solid angle at the vertex point {0,0,0} and spanned by edges:

The solid angle of at the point 1 in canonical form:

Scope  (2)

Use PolyhedronAngle to find the solid angles at the vertex points:

The dihedral angle at the given edge:

PolyhedronAngle works on polyhedra:

Tetrahedron:

Octahedron:

Properties & Relations  (2)

PolyhedronAngle[,{p1,p2}] is equivalent to DihedralAngle[{p1,p2},{v,w}] where v and w are vectors in adjacent faces of {p1,p2} in a polyhedron :

PolyhedronAngle[,p] is equivalent to SolidAngle[p,{u1,,ud}] where u1,,ud are vectors adjacent to the point p in a polyhedron :

Introduced in 2019
 (12.0)