Definition:Triangulation of Polygon/Fan

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Definition

Let $P$ be a polygon.

Let $\family { \triangle_i }_{ i \mathop \in \II}$ be a set of triangles that form a triangulation of $P$.

Let $A$ be a vertex of $P$.

Let $\triangle_i$ have a vertex equal to $A$ for all $i \in \II$.


Then $\family { \triangle_i }_{ i \mathop \in \II}$ is a fan triangulation of $P$.


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