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Polygonal chain : ウィキペディア英語版 | Polygonal chain
In geometry, a polygonal chain is a connected series of line segments. More formally, a polygonal chain ''P'' is a curve specified by a sequence of points called its vertices. The curve itself consists of the line segments connecting the consecutive vertices. A polygonal chain may also be called a polygonal curve,〔.〕 polygonal path,〔.〕 polyline,〔.〕 or piecewise linear curve.〔 ==Variations== A simple polygonal chain is one in which only consecutive (or the first and the last) segments intersect and only at their endpoints. A closed polygonal chain is one in which the first vertex coincides with the last one, or, alternatively, the first and the last vertices are also connected by a line segment.〔.〕 A simple closed polygonal chain in the plane is the boundary of a simple polygon. Often the term "polygon" is used in the meaning of "closed polygonal chain", but in some cases it is important to draw a distinction between a polygonal area and a polygonal chain. A polygonal chain is called monotone, if there is a straight line ''L'' such that every line perpendicular to ''L'' intersects the chain at most once. Every nontrivial monotone polygonal chain is open. In comparison, a monotone polygon is a polygon (a closed chain) that can be partitioned into exactly two monotone chains.〔.〕 The graphs of piecewise linear functions form monotone chains with respect to a horizontal line.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Polygonal chain」の詳細全文を読む
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