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:
Linguistic Note
The word stellation derives from the Latin stellātus, meaning starred, which in turn comes from the Latin stella, meaning star.
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {3-3}$ Wilson's Theorem: Theorem $\text {3-5}$