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Vertex Figure

The line joining the Midpoints of adjacent sides in a Polygon is called the polygon's vertex figure. For a regular $n$-gon with side length $s$,

v=s\cos\left({\pi\over n}\right).

For a Polyhedron, the faces that join at a Vertex form a solid angle whose section by the plane is the vertex figure.

See also Truncation

© 1996-9 Eric W. Weisstein