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Levi Pearson 2014-01-24 22:59:02 -07:00
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math/computational_geometry/notes.page
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@ -26,3 +26,9 @@ are *vertices*. The set of vertices and edges is the *boundary*.
:The boundary $\partial P$ of a polygon $P$ partitions the plane into :The boundary $\partial P$ of a polygon $P$ partitions the plane into
two parts. In particular, the two components of $\Bbb{R}^2\setminus two parts. In particular, the two components of $\Bbb{R}^2\setminus
\partial P$ are the bounded interior and the unbounded exterior. \partial P$ are the bounded interior and the unbounded exterior.
A point $x$ is *interior* if a ray through it in a fixed direction not
parallel to an edge passes through an odd number of edges.
A point $x$ is *exterior$ if a ray through it ... etc ... through an
even number of edges.