Editing Star polygon (section)

===Construction via stellation===
Alternatively, a regular star polygon can also be obtained as a sequence of [[Stellation#Stellating polygons|stellation]]s of a convex regular ''core'' polygon. Constructions based on stellation also allow regular polygonal compounds to be obtained in cases where the density ''q'' and amount ''p'' of vertices are not coprime. When constructing star polygons from stellation, however, if ''q'' > ''p''/2, the lines will instead diverge infinitely, and if ''q'' = ''p''/2, the lines will be parallel, with both resulting in no further intersection in Euclidean space. However, it may be possible to construct some such polygons in spherical space, similarly to the [[monogon]] and [[digon]]; such polygons do not yet appear to have been studied in detail.