Polygram (geometry)
In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides. All polygons are polygrams, but they can also include disconnected sets of edges, called a compound polygon. For example, a regular pentagram,, has 5 sides, and the regular hexagram, or 2, has 6 sides divided into two triangles.
A regular polygram can either be in a set of regular star polygons or in a set of regular polygon compounds.
Etymology
The polygram names combine a numeral prefix, such as penta-, with the Greek suffix -gram. The prefix is normally a Greek cardinal, but synonyms using other prefixes exist. The -gram suffix derives from γραμμῆς meaning a line.Generalized regular polygons
A regular polygram, as a general regular polygon, is denoted by its Schläfli symbol, where p and q are relatively prime and q ≥ 2. For integers p and q, it can be considered as being constructed by connecting every qth point out of p points regularly spaced in a circular placement.Pentagram| | Heptagram| | Heptagram| | Octagram| | Enneagram | | Enneagram | | Enneagram |... |