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edge

File:Triangle.TrigArea.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ26382· pop 52· linked from 476 articles

Also known as 1-orthoplex, 1-polytope, 1-simplex, side

line segment joining two adjacent vertices in a polygon or polytope

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In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon, an edge is a line segment on the boundary, 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. A segment joining two vertices while passing through the interior or exterior is not an edge but instead is called a diagonal.

An edge may also be an infinite line separating two half-planes. The sides of a plane angle are semi-infinite half-lines (or rays).

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