PolyhedronAngle

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

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

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

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

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

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

The dihedral angle at the given edge:

PolyhedronAngle works on polyhedra:

PolyhedronAngle[ℛ,{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 ℛ:

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

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