a configuration consisting of the lateral faces of a polyhedron around one of its vertices. The portion of a pyramid including one of its points is such a configuration.
British Dictionary definitions for polyhedral angle
polyhedral angle
/ˌpɒlɪˈhiːdrəl/
noun
1.
a geometric configuration formed by the intersection of three or more planes, such as the faces of a polyhedron, that have a common vertex See also solid angle