Polygram (geometry)

In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides.

[1] The polygram names combine a numeral prefix, such as penta-, with the Greek suffix -gram (in this case generating the word pentagram).

The -gram suffix derives from γραμμῆς (grammos) meaning a line.

[3][1] In other cases where n and m have a common factor, a polygram is interpreted as a lower polygon, {n/k, m/k}, with k = gcd(n,m), and rotated copies are combined as a compound polygon.

These figures are called regular compound polygons.

Regular polygrams { n / d }, with red lines showing constant d , and blue lines showing compound sequences k { n / d }