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Edge (geometry)
Line segment joining two adjacent vertices in a polygon or polytope / From Wikipedia, the free encyclopedia
Not to be confused with Edge (graph theory).
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.[1] In a polygon, an edge is a line segment on the boundary,[2] and is often called a polygon side. In a polyhedron or more generally a polytope, an edge is a line segment where two faces (or polyhedron sides) meet.[3] A segment joining two vertices while passing through the interior or exterior is not an edge but instead is called a diagonal.
- A polygon is bounded by edges; this square has 4 edges.
- Every edge is shared by three or more faces in a 4-polytope, as seen in this projection of a tesseract.