Heptagram

Star polygon with 7 sides
title: "Heptagram" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["star-polygons", "7-(number)"] description: "Star polygon with 7 sides" topic_path: "general/star-polygons" source: "https://en.wikipedia.org/wiki/Heptagram" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::summary Star polygon with 7 sides ::
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.
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}.
::data[format=table] | [[File:Antiprism 7-2.png|80px]]7-2 antiprism | [[File:Antiprism 7-3.png|80px]]7-3 antiprism | [[File:Antiprism 7-4.png|80px]]7-4 antiprism | |---|---|---| ::
Uses
Flags and heraldry
File:Coat of arms of Georgia (1918–1921; 1990–2004).svg|Former Georgian coat of arms, 1918–1921, 1991–2004 File:Flag of Occitania (with star).svg|The seven-pointed star of the Felibritge on the Occitan flag. File:Flag of Jordan.svg|The Jordanian flag, bearing the star that symbolizes Al-Fatiha File:Flag of Hokkaido Prefecture.svg|Symbol of Hokkaido File:Emblem of Samarkand.svg|Coat of arms of Samarkand File:Commonwealth_Star.svg|Commonwealth Star as the crest of coat of arms of Australia File:CHE_Thun_Flag.svg|The coat of arms and flag of Thun Switzerland
- The Bennington flag, a historical American Flag, has thirteen seven-pointed stars along with the numerals "76" in the canton.
- 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 including the Georgian Soviet Socialist Republic used the {7/2} heptagram as an element.
- A seven-pointed star is used as a common symbol for otherkin.
Law enforcement
Some police badges in the US have a heptagram outline.
File:Seal of the California Highway Patrol.svg|Seal of the :California Highway Patrol
Religious and occult symbolism
::figure[src="https://upload.wikimedia.org/wikipedia/commons/7/76/Babalon_seal.png" caption="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.
- 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 astrology. For example, the planetary hours, from which comes the names of the days of the week.
- 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.
- 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
::figure[src="https://upload.wikimedia.org/wikipedia/commons/e/e6/Maersk_Group_Logo.svg" caption="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. Møller – Mærsk A/S, 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 and with his band Blur.
- 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. It is 'open' to signify an invitation into the collective unconscious.
- An alternate logo of Chicago-based Children's Press from 1945 to 1970, having the slogan "Children's Books Are Important".
Variants
File:Heptagram.svg|Interlaced; equivalent to the 71 knot
References
Bibliography
- Grünbaum, B. and G.C. Shephard; Tilings and patterns, New York: W. H. Freeman & Co., (1987), .
- 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-Strauss, The Symmetries of Things 2008, (Chapter 26. pp. 404: Regular star-polytopes Dimension 2)
References
- [https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dgrammh%2F γραμμή], Henry George Liddell, Robert Scott, ''A Greek-English Lexicon'', on Perseus
- "HUNA INTERNATIONAL - Your best resource for Huna Knowledge and Practice".
- (1969). "Children of the Rainbow: A Book Concerning the Religion, Legends, and Gods of the Natives of Pre-Christian Hawaii". Theosophical Publishing House.
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