Heptagram

Regular heptagram (7/2)
Regular star polygon 7-2.svg
A regular heptagram
TypeRegular star polygon
Edges and vertices7
Schläfli symbol{7/2}
Coxeter diagramCDel node 1.pngCDel 7.pngCDel rat.pngCDel 2x.pngCDel node.png
Symmetry groupDihedral (D7)
Internal angle (degrees)≈77.143°
Dual polygonself
PropertiesStar, cyclic, equilateral, isogonal, isotoxal
Regular heptagram (7/3)
Regular star polygon 7-3.svg
A regular heptagram
TypeRegular star polygon
Edges and vertices7
Schläfli symbol{7/3}
Coxeter diagramCDel node 1.pngCDel 7.pngCDel rat.pngCDel 3x.pngCDel node.png
Symmetry groupDihedral (D7)
Internal angle (degrees)≈25.714°
Dual polygonself
PropertiesStar, cyclic, equilateral, isogonal, isotoxal

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}.

Obtuse heptagram.svg
{7/2}
Acute heptagram.svg
{7/3}
Heptagrams.svg
{7}+{7/2}+{7/3}
Heptagrammic prism 7-2.png
7-2 prism
Heptagrammic prism 7-3.png
7-3 prism
6-simplex t0.svg
Complete graph
Antiprism 7-2.png
7-2 antiprism
Antiprism 7-3.png
7-3 antiprism
Antiprism 7-4.png
7-4 antiprism


Uses[]

Flags and heraldry[]

Law enforcement[]

Religious and occult symbolism[]

Seal of Babalon and the A∴A∴

In popular culture[]

Logo of Maersk

See also[]

References[]

  1. ^ γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
  2. ^ https://www.huna.org
  3. ^ https://www.amazon.com/Children-Rainbow-Religions-Legends-Pre-Christian/dp/0835600025

Bibliography

External links[]