| 释义 |
- Geometry
- In popular culture Religious and occult symbolism Flags Other
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{{short description|star polygon}}{{redirect|Elven star|the book by Margaret Weis and Tracy Hickman|Elven Star}}{{more footnotes|date=April 2011}}{{Regular polygon db|Odd star polygon stat table|p7/2}}{{Regular polygon db|Odd star polygon stat table|p7/3}}{{Star polygons}}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] GeometryIn 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 |
In popular culture{{refimprove section|date=November 2016}}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 Christian sects such as Catholicism, Orthodox, and Kabbalist Judaism. But it does not pertain to Protestantism.
- 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 septagram. 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.
- The Order of the Mithril Star and the Reformed Druids of Gaia use it as an identifier.
- In alchemy, a seven-sided star can refer to the seven planets which were known to ancient alchemists.
- In Islam, the heptagram is used to represent the first seven verses in the Quran.
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.
- Progressive metal band Tool uses the heptagram in their art and visuals as a symbol of positive energy and openness.
- 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.
See also- Star polygon
- Stellated polygons
- Two-dimensional regular polytopes
- Major (United States) insignia of seven leaves
References1. ^γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
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- {{Mathworld |urlname=Heptagram |title=Heptagram}}
- Approximate construction method
{{Polygons}} 3 : Star symbols|Polygons|7 (number) |