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Principal Vertex

A polygon vertex x_i of a simple polygon P is a principal polygon vertex if the diagonal [x_(i-1),x_(i+1)] intersects the boundary of P only at x_(i-1) and x_(i+1).

See also

Ear, Mouth

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References

Meisters, G. H. "Polygons Have Ears." Amer. Math. Monthly 82, 648-751, 1975.Meisters, G. H. "Principal Vertices, Exposed Points, and Ears." Amer. Math. Monthly 87, 284-285, 1980.Toussaint, G. "Anthropomorphic Polygons." Amer. Math. Monthly 98, 31-35, 1991.

Referenced on Wolfram|Alpha

Principal Vertex

Cite this as:

Weisstein, Eric W. "Principal Vertex." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrincipalVertex.html

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