Assertion: polyhedron's vertex | /r/HasProperty | convex
Facets:
value: in a polygon
type: LOCATION
value: more generally
type: DEGREE
Source sentences:
text: More generally, a vertex of a polyhedron or polytope is convex if the intersection of the polyhedron or polytope with a sufficiently small sphere centered at the vertex is convex, and concave otherwise.
text: In a polygon, a vertex is called "convex" if the internal angle of the polygon, that is, the angle formed by the two edges at the vertex, with the polygon inside the angle, is less than π radians ( 180°, two right angles) ; otherwise, it is called "concave" or "reflex".