Vertex Figure
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High Quality Content by WIKIPEDIA articles! In geometry a vertex figure is, broadly speaking, the figure exposed when a corner of a polyhedron or polytope is sliced off.Take some vertex of a polyhedron. Mark a point somewhere along each connected edge. Draw lines across the connected faces, joining adjacent points. When done, these lines form a complete circuit, i.e. a polygon, around the vertex. This polygon is the vertex figure.But compare the detailed descriptions across standard reference works, and you will soon find there is little agreement on a formal definition.
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