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When two sides (called faces) of a 3-dimensional shape meet, they meet at an edge.
They are the points where three (or more) planes (or faces of the shape) meet.
In a 3-dimensional shape with polygonal faces, an edge is a straight line at which two faces meet. A vertex is a point where three or more edges meet. In solid shapes which are not polyhedra, an edge is still a line - possibly curved - where two faces meet. But a vertex can be any corner, for example, the point of a cone.
A pyramid would fit the given description
edge