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A hexagram or sexagram is a six-pointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}. The term is used to refer to a compound figure of two equilateral triangles. The intersection is a regular hexagon. The hexagram is part of an infinite series of shapes which are compounds of two n-dimensional simplices.
A regular icositrigon has internal angles of degrees, with an area of = = , where is side length and is the inradius, or apothem. The regular icositrigon is not constructible with a compass and straightedge or angle trisection , [ 1 ] on account of the number 23 being neither a Fermat nor Pierpont prime .
Icosikaidigon - 22 sides; Icositrigon - 23 sides; Icositetragon - 24 sides; Icosikaipentagon - 25 sides; ... Hexagram – star polygon with 6 sides Star of David ...
Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.
The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals times the apothem (radius of the inscribed circle). All internal angles are 120 degrees . A regular hexagon has six rotational symmetries ( rotational symmetry of order six ) and six reflection symmetries ( six lines of symmetry ), making ...
An adapted unicursal hexagram is an important symbol in Thelema. In Aleister Crowley's Thelema, the hexagram is usually depicted with a five-petalled flower in the centre which symbolises the pentagram. The hexagram represents the heavenly macrocosmic or planetary forces and is a symbol equivalent to the Rosicrucian Rose Cross or ancient ...
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, {5/2}, has 5 sides, and the regular hexagram, {6/2} or 2{3}, has 6 sides divided into two ...
Given a point A 0 in a Euclidean space and a translation S, define the point A i to be the point obtained from i applications of the translation S to A 0, so A i = S i (A 0).The set of vertices A i with i any integer, together with edges connecting adjacent vertices, is a sequence of equal-length segments of a line, and is called the regular apeirogon as defined by H. S. M. Coxeter.