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Mouth


A principal vertex x_i of a simple polygon P is called a mouth if the diagonal [x_(i-1),x_(i+1)] is an extremal diagonal (i.e., the interior of [x_(i-1),x_(i+1)] lies in the exterior of P).


See also

Anthropomorphic Polygon, Ear, One-Mouth Theorem

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References

Toussaint, G. "Anthropomorphic Polygons." Amer. Math. Monthly 122, 31-35, 1991.

Referenced on Wolfram|Alpha

Mouth

Cite this as:

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

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