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Heptagram

January 21, 2023

"Elven star" redirects here. For the book by Margaret Weis and Tracy Hickman, see Elven Star.

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

The name heptagram combines a numeral prefix, hepta-, with the Greek suffix -gram. The -gram suffix derives from γραμμῆ (grammē) meaning a line.[1]

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 and its related {8/2} star figure (a compound of two squares), 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}.

 
{7/2} 		 
{7/3} 		 
{7}+{7/2}+{7/3}
 
7-2 prism 		 
7-3 prism 		 
Complete graph
 
7-2 antiprism 		 
7-3 antiprism 		 
7-4 antiprism

Uses

Flags and heraldry

Law enforcement

Religious and occult symbolism

 
Seal of Babalon and the A∴A∴
  • The heptagram became a traditional symbol for warding off evil in Catholicism.
  • The symbol is also used in Kabbalist Judaism.
  • In Islam, the heptagram is used to represent the first seven verses in the Quran.
  • The heptagram is used in the symbol for Babalon in Aleister Crowley's occult system 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.
  • In alchemy, a seven-sided star can refer to the seven planets which were known to early alchemists, and also, the seven alchemical substances: fire, water, air, earth, sulphur, salt and mercury.
  • In Polynesia, the seven-pointed star is used often in imagery, basket making, tattoos, and is considered to be a symbol of Kanaloa, the first Polynesian navigator.[2][3]
  • The seven-sided star is an important symbol of the Cherokee people of southern Appalachia, representing the seven clans of the Cherokee and the sacred number seven.

In popular culture

 
Logo of Maersk
  • The logo of American shoe brand DC Shoes features a 7/3 heptagram in the letter C.
  • 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 and its TV version Game of Thrones, a seven-pointed star serves as the symbol of the Faith of the Seven.
  • In the manga series MeruPuri, a magical mirror/ portal is in the shape of a heptagram. The symbol is also seen during spellcasting.
  • Finnish rock band HIM used a heptagram on the cover of their eighth studio album Tears on Tape.
  • American heavy metal band Darkest Hour used a heptagram on the cover of their eighth studio album Darkest Hour.
  • English Singer Damon Albarn uses a heptagram as a symbol in his solo performances.
  • The {7/3} heptagram is used by some members of the otherkin subculture as an identifier.
  • The American Progressive Rock Metal Band “Tool” uses an ‘open’ seven pointed symbol for their fan group, The Tool Army. It is ‘open’ to signify an invitation into the collective unconscious.
  • The American Pop Rock musician William Sunshine used a heptagram as the album art for his first EP A Demonstrative Manifesto.

See also

References

  1. ^ γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
  2. ^ https://www.huna.org
  3. ^ Melville, Leinani (1969). Children of the Rainbow: A Book Concerning the Religion, Legends, and Gods of the Natives of Pre-Christian Hawaii. ISBN 0835600025.

Bibliography

  • Grünbaum, B. and G.C. Shephard; Tilings and Patterns, New York: W. H. Freeman & Co., (1987), ISBN 0-7167-1193-1.
  • Grünbaum, B.; Polyhedra with Hollow Faces, Proc of NATO-ASI Conference on Polytopes ... etc. (Toronto 1993), ed T. Bisztriczky et al., Kluwer Academic (1994) pp. 43–70.
  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26. pp. 404: Regular star-polytopes Dimension 2)

External links

January 21, 2023
heptagram, elven, star, redirects, here, book, margaret, weis, tracy, hickman, elven, star, this, article, uses, bare, urls, which, uninformative, vulnerable, link, please, consider, converting, them, full, citations, ensure, article, remains, verifiable, main. Elven star redirects here For the book by Margaret Weis and Tracy Hickman see Elven Star This article uses bare URLs which are uninformative and vulnerable to link rot Please consider converting them to full citations to ensure the article remains verifiable and maintains a consistent citation style Several templates and tools are available to assist in formatting such as Reflinks documentation reFill documentation and Citation bot documentation September 2022 Learn how and when to remove this template message This article includes a list of general references but it lacks sufficient corresponding inline citations Please help to improve this article by introducing more precise citations April 2011 Learn how and when to remove this template message A heptagram septagram septegram or septogram is a seven point star drawn with seven straight strokes Regular heptagram 7 2 A regular heptagramTypeRegular star polygonEdges and vertices7Schlafli symbol 7 2 Coxeter Dynkin diagramsSymmetry groupDihedral D7 Internal angle degrees 77 143 Propertiesstar cyclic equilateral isogonal isotoxalRegular heptagram 7 3 A regular heptagramTypeRegular star polygonEdges and vertices7Schlafli symbol 7 3 Coxeter Dynkin diagramsSymmetry groupDihedral D7 Internal angle degrees 25 714 Propertiesstar cyclic equilateral isogonal isotoxalThe name heptagram combines a numeral prefix hepta with the Greek suffix gram The gram suffix derives from grammῆ gramme meaning a line 1 Contents 1 Geometry 2 Uses 2 1 Flags and heraldry 2 2 Law enforcement 2 3 Religious and occult symbolism 2 4 In popular culture 3 See also 4 References 5 External linksGeometry EditIn 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 and its related 8 2 star figure a compound of two squares 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 7 2 7 3 7 7 2 7 3 7 2 prism 7 3 prism Complete graph 7 2 antiprism 7 3 antiprism 7 4 antiprismUses EditThis section needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed November 2016 Learn how and when to remove this template message Flags and heraldry Edit Former Georgian coat of arms 1918 1921 1991 2004 Roundel of the Georgian Air Force Flag of Eastern Band Cherokee The seven pointed star of the Felibritge on the Occitan flag The Jordanian flag bearing the star that symbolizes Al Fatiha Symbol of Hokkaido Coat of arms of Samarkand Commonwealth Star as the crest of Coat of Arms of AustraliaThe seven pointed star is incorporated into the flags of various bands of Cherokee Indians 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 A seven pointed star is used as the badge in many sheriff s departments and some smaller community police departments A seven pointed star is used in the otherkin pride flag Law enforcement Edit Seal of the California Highway PatrolReligious and occult symbolism Edit Seal of Babalon and the A A The heptagram became a traditional symbol for warding off evil in Catholicism The symbol is also used in Kabbalist Judaism In Islam the heptagram is used to represent the first seven verses in the Quran The heptagram is used in the symbol for Babalon in Aleister Crowley s occult system 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 In alchemy a seven sided star can refer to the seven planets which were known to early alchemists and also the seven alchemical substances fire water air earth sulphur salt and mercury In Polynesia the seven pointed star is used often in imagery basket making tattoos and is considered to be a symbol of Kanaloa the first Polynesian navigator 2 3 The seven sided star is an important symbol of the Cherokee people of southern Appalachia representing the seven clans of the Cherokee and the sacred number seven In popular culture Edit Logo of Maersk The logo of American shoe brand DC Shoes features a 7 3 heptagram in the letter C 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 and its TV version Game of Thrones a seven pointed star serves as the symbol of the Faith of the Seven In the manga series MeruPuri a magical mirror portal is in the shape of a heptagram The symbol is also seen during spellcasting Finnish rock band HIM used a heptagram on the cover of their eighth studio album Tears on Tape American heavy metal band Darkest Hour used a heptagram on the cover of their eighth studio album Darkest Hour English Singer Damon Albarn uses a heptagram as a symbol in his solo performances The 7 3 heptagram is used by some members of the otherkin subculture as an identifier The American Progressive Rock Metal Band Tool uses an open seven pointed symbol for their fan group The Tool Army It is open to signify an invitation into the collective unconscious The American Pop Rock musician William Sunshine used a heptagram as the album art for his first EP A Demonstrative Manifesto See also EditGrunbaum Rigby configuration Star polygon Stellated polygons Two dimensional regular polytopes Major United States insignia of seven leavesReferences Edit grammh Henry George Liddell Robert Scott A Greek English Lexicon on Perseus https www huna org Melville Leinani 1969 Children of the Rainbow A Book Concerning the Religion Legends and Gods of the Natives of Pre Christian Hawaii ISBN 0835600025 Bibliography Grunbaum B and G C Shephard Tilings and Patterns New York W H Freeman amp Co 1987 ISBN 0 7167 1193 1 Grunbaum B Polyhedra with Hollow Faces Proc of NATO ASI Conference on Polytopes etc Toronto 1993 ed T Bisztriczky et al Kluwer Academic 1994 pp 43 70 John H Conway Heidi Burgiel Chaim Goodman Strass The Symmetries of Things 2008 ISBN 978 1 56881 220 5 Chapter 26 pp 404 Regular star polytopes Dimension 2 External links EditWeisstein Eric W Heptagram MathWorld Approximate construction method Retrieved from https en wikipedia org w index php title Heptagram amp oldid 1115589201, wikipedia, wiki, book, books, library,

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