Girish Mahajan (Editor)

Heptagram

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Type
  
Regular star polygon

Schläfli symbol
  
{7/2}

Internal angle (degrees)
  
≈77.143°

Edges and vertices
  
7

Symmetry group
  
Dihedral (D7)

Dual polygon
  
self

Heptagram

A heptagram, septegram, or septogram is a seven-point star drawn with seven straight strokes.

Contents

The name heptagram combines a numeral prefix, hepta-, with the Greek suffix -gram. The -gram suffix derives from γραμμῆς (grammēs) meaning a line.

Geometry

In general, a heptagram is any self-intersecting heptagon (7-sided polygon).

There are two regular heptagrams, labeled as {7/2} and {7/3}, with the second number representing the vertex interval step from a regular heptagon, {7/1}.

This is the smallest star polygon that can be drawn in two forms, as irreducible fractions. The two heptagrams are sometimes called the heptagram (for {7/2}) and the great heptagram (for {7/3}).

The previous one, the regular hexagram {6/2}, is a compound of two triangles. The smallest star polygon is the {5/2} pentagram.

The next one is the {8/3} octagram, followed by the regular enneagram, which also has two forms: {9/2} and {9/4}, as well as one compound of three triangles {9/3}.

Religious and occult symbolism

  • The heptagram was used in Christianity to symbolize the seven days of creation and became a traditional symbol for warding off evil.
  • The heptagram is a symbol of perfection (or God) in many Christian sects.
  • The heptagram is used in the symbol for Babalon in Thelema.
  • The heptagram is known among neopagans as the Elven Star or Fairy Star. It is treated as a sacred symbol in various modern pagan and witchcraft traditions. Blue Star Wicca also uses the symbol, where it is referred to as a septegram. The second heptagram is a symbol of magical power in some pagan spiritualities.
  • The {7/3} heptagram is used by some members of the otherkin subculture as an identifier.
  • In alchemy, a seven-sided star can refer to the seven planets which were known to ancient alchemists.
  • Flags

  • The seven-pointed star is incorporated into the flags of the various bands of the Cherokee Nation and the badges of Navajo Nation Police (as well as other police).
  • The Bennington flag, a historical American Flag, has thirteen seven-pointed stars along with the numerals "76" in the canton.
  • The Flag of Jordan contains a seven-pointed star.
  • The Flag of Australia employs five heptagrams and one pentagram to depict the Southern Cross constellation and the Commonwealth Star.
  • Some old versions of the coat of arms of Georgia (country) including the Georgian Soviet Socialist Republic used the {7/2} heptagram as an element.
  • Other

  • A seven-pointed star is used as the badge in many sheriff's departments and some smaller-community police departments.
  • The seven-pointed star is used as the logo for the international Danish shipping company A.P. Moller–Maersk Group, sometimes known simply as Maersk.
  • In George R. R. Martin's novel series A Song of Ice and Fire, a seven-pointed star serves as the symbol of the Faith of the Seven.
  • References

    Heptagram Wikipedia


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