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Hexagram

Regular hexagram
Regular star figure 2(3,1).svg
A regular hexagram
Type Regular polygonal figure
Edges and vertices 6
Schläfli symbol a{6}, {6/2}, 2{3} or {{3}}
Coxeter diagram CDel node h3.pngCDel 6.pngCDel node.png or CDel node h3.pngCDel 3.pngCDel node h3.png
Symmetry group Dihedral (D6)
Internal angle (degrees) 60°
Dual polygon self
Properties star, compound, cyclic, equilateral, isogonal, isotoxal

A hexagram (Greek) or sexagram (Latin) is a six-pointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}. It is the compound of two equilateral triangles. The intersection is a regular hexagon.

It is used in historical, religious and cultural contexts, for example in Hanafism,Jewish identity, Hinduism and occultism.

In mathematics, the root system for the simple Lie group G2 is in the form of a hexagram, with 6 long roots and 6 short roots.
Root system G2.svg

A six-pointed star, like a regular hexagon, can be created using a compass and a straight edge:

It is possible that as a simple geometric shape, like for example the triangle, circle, or square, the hexagram has been created by various peoples with no connection to one another.

The hexagram is a mandala symbol called satkona yantra or sadkona yantra found on ancient South Indian Hindu temples. It symbolizes the nara-narayana, or perfect meditative state of balance achieved between Man and God, and if maintained, results in "moksha," or "nirvana" (release from the bounds of the earthly world and its material trappings).


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Wikipedia

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