# Heptagram

Regular heptagram (7/2)
A regular heptagram
Type Regular polygon
Edges and vertices 7
Schläfli symbol {7/2}
Coxeter diagram
Symmetry group Dihedral (D7)
Internal angle (degrees) ≈77.143°
Dual polygon self
Properties star, cyclic, equilateral, isogonal, isotoxal
Regular heptagram (7/3)
A regular heptagram
Type Regular polygon
Edges and vertices 7
Schläfli symbol {7/3}
Coxeter diagram
Symmetry group Dihedral (D7)
Internal angle (degrees) ≈25.714°
Dual polygon self
Properties star, cyclic, equilateral, isogonal, isotoxal

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

The name heptagram combines a numeral prefix, hepta-, with the Greek suffix -gram. The -gram suffix derives from γραμμῆς (grammēs) 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, followed by the regular enneagram, which also has two forms: {9/2} and {9/4}, as well as one compound of 3 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 culture

### 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 religions.
• 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 religions.
• In alchemy, a seven-sided star can refer to the seven planets which were known to ancient alchemists.