The outer points.....on the X axis would be at (1/2, 0) and (-1/2, 0)....

A regular hexagram, {6}[2{3}]{6}, can be seen as a compound composed of an upwards (blue here) and downwards (pink) facing equilateral triangle, with their intersection as a regular hexagon(in green).

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,^[1] Jewish identity, Hinduism and occultism.

Contents

  [hide] 

• 1Group theory
• 2Construction by compass and a straight edge
• 3Origins and shape
• 4Usage in Asian religions
  • 4.1Anahata: The Heart Chakra
• 5Usage by the Abrahamic religions
  • 5.1Usage by Jews
  • 5.2Usage by Christians
    • 5.2.1Latter-day Saints (Mormons)
    • 5.2.2Rastafari
  • 5.3Usage by Muslims
• 6Usage in heraldry
• 7Usage in theosophy
• 8Usage in Occultism
• 9Usage in Freemasonry
• 10Other uses
• 11Other hexagrams
• 12See also
• 13Footnotes
• 14References
• 15External links

Group theory[edit]

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.

Construction by compass and a straight edge