Hexagram
Sixpointed star polygon / From Wikipedia, the free encyclopedia
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A hexagram (Greek) or sexagram (Latin) is a sixpointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}. Since there are no true regular continuous hexagrams, the term is instead used to refer to a compound figure of two equilateral triangles. The intersection is a regular hexagon.
Regular hexagram  

Type  Regular polygonal figure 
Edges and vertices  6 
Schläfli symbol  a{6}, {6/2}, 2{3} or {{3}} 
Coxeter–Dynkin diagrams  or 
Symmetry group  Dihedral (D_{6}) 
Internal angle (degrees)  60° 
Properties  star, compound, cyclic, equilateral, isogonal, isotoxal 
Dual polygon  self 
Star polygons 


The hexagram is part of an infinite series of shapes which are compounds of two ndimensional simplices. In three dimensions, the analogous compound is the stellated octahedron, and in four dimensions the compound of two 5cells is obtained.
It has been historically used in various religious and cultural contexts and as decorative motifs. The symbol was used as a decorative motif in medieval Christian churches and Jewish synagogues.[1] The hexagram is thought to have originated in Buddhism and was also used by Hindus. It was used by Muslims as a mystic symbol in the medieval period, known as the Seal of Solomon, depicted as either a hexagram or pentagram. [2][3]
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