Hexagram
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A hexagram is a six-pointed star, with all lines the same length and all angles the same. A 'hexangle', 'star hexagon', or 'hexalpha' means the same thing.[1] It is used in historical, religious and cultural contexts, for example in Hanafism,[2] Judaism, Hinduism and occultism. It is possible that this simple geometric shape, like the triangle, circle, or square, has been created by various peoples with no connection to one another.
Group theory
In mathematics, the root system for the simple Lie group G2 is in the form of a hexagram, with six long roots and six short roots.
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Construction by compass and a straight edge
A six-pointed star, like a regular hexagon, can be created using a compass and a straight edge:
- Make a circle of any size with the compass.
- Without changing the radius of the compass, set its pivot on the circle's circumference, and find one of the two points where a new circle would intersect the first circle.
- With the pivot on the last point found, similarly find a third point on the circumference, and repeat until six such points have been marked.
- With a straight edge, join alternate points on the circumference to form two overlapping equilateral triangles.
Hexagram Media
- Regular hexagon as intersection of two triangles.png
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).
- Hexagram-cube.png
The orthographic projection of the unit cube onto the plane x+y+z=0 gives a hexagram.
- Jain Cosmology0007small.JPG
Diagram showing the two mystic syllables Om and Hrim
- Anahata Mandala.svg
Symbol for the heart chakra. Anahata means "the place of openness."
- Seal of Solomon (Simple Version).svg
One simple form of the en:Seal of Solomon.
- Leningrad Codex Folio 474a.jpg
The Star of David in the oldest surviving complete copy of the Masoretic Text, the Leningrad Codex, dated 1008.
- Salt Lake Assembly Hall Star of David.jpg
Star of David on the Salt Lake Assembly Hall
- Japanese Crest Maru ni Kagome.svg
Mon emblem of the Kagome clan.
- Star of David GGNC grave marker engraving.JPG
An engraving of the Star of David on a grave marker in Golden Gate National Cemetery in San Bruno, California.
References
- ↑ Graham, Dr. O.J. 2001. The Six-Pointed Star: its origin and usage. 4th ed, Toronto: The Free Press, . ISBN 0-9689383-0-2
- ↑ Miller, Sam 2010. Delhi: Adventures in a Megacity, page 91.