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. … See more

Star polygon names combine a numeral prefix, such as penta-, with the Greek suffix -gram (in this case generating the word pentagram). The prefix is normally a Greek cardinal, but synonyms using other prefixes exist. For example, a nine-pointed polygon or See more

A regular star polygon is a self-intersecting, equilateral, and equiangular polygon.
A regular star polygon is denoted by its Schläfli symbol {p/q}, where p (the number of vertices) and q (the density) are relatively prime 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 … See more

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