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If a simple polygon is triangulated, then a triple of consecutive vertices ,, forms an ear if is a convex vertex and none of its other neighbors in the triangulation lie in triangle . By testing all neighbors of all vertices, it is possible to find all the ears of a triangulated simple polygon in linear time . [ 4 ]
A polygon ear. One way to triangulate a simple polygon is based on the two ears theorem, as the fact that any simple polygon with at least 4 vertices without holes has at least two "ears", which are triangles with two sides being the edges of the polygon and the third one completely inside it. [5]
An ear decomposition of an undirected graph G is a partition of its set of edges into a sequence of ears, such that the one or two endpoints of each ear belong to earlier ears in the sequence and such that the internal vertices of each ear do not belong to any earlier ear. Additionally, in most cases the first ear in the sequence must be a cycle.
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“For a simple backbend, think of the shrug emoji, but instead of letting your shoulders hunch up toward your ears, draw your shoulder blades down your back, broaden your collarbones and lift ...
Parts of a simple polygon. A simple polygon is a closed curve in the Euclidean plane consisting of straight line segments, meeting end-to-end to form a polygonal chain. [1] Two line segments meet at every endpoint, and there are no other points of intersection between the line segments.
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