In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can … See more

When the intersecting line segments are removed from a regular star n-gon, the resulting figure is no longer regular, but can be seen as an isotoxal concave simple 2n-gon, alternating vertices at two different radii. Branko Grünbaum, in Tilings and patterns See more

Star polygons feature prominently in art and culture. Such polygons may or may not be regular, but they are always highly symmetrical. Examples include:
• The … See more

Star polygon names combine a numeral prefix, such as penta-, with the Greek suffix -gram (in this case generating the word pentagram). … See more

A regular star polygon is a self-intersecting, equilateral, and equiangular polygon.
A regular star … See more

The interior of a star polygon may be treated in different ways. Three such treatments are illustrated for a pentagram. Branko Grünbaum and Geoffrey Shephard consider two of them, as regular star n-gons and as isotoxal concave simple 2n-gons. See more

• List of regular polytopes and compounds#Stars
• Five-pointed star
• Magic star See more