Definition:Stellation/Polygon

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Definition

A stellation of a polygon $P$ is a plane figure formed by extending the sides of $P$ until they meet.


The usual context for such a stellation is of a regular polygon such that the extended sides meet symmetrically.


A stellated polygon with $n$ sides can be referred to as a stellated $n$-gon.


Regular Stellated Polygon

A regular stellated polygon is a stellated polygon which is both equilateral and equiangular.

That is, in which all the sides are the same length, and all the vertices have the same angle:

Regular-stellated-polygon.png


Linguistic Note

The word stellation derives from the Latin stellātus, meaning starred, which in turn comes from the Latin stella, meaning star.


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