The heptagram is a seven-pointed star. Its geometric peculiarity is that it exists in two different regular forms: one connects each vertex of a heptagon to the second vertex after it, while the other connects it to the third. In Western occultism, the seven-branched star naturally lends itself to correspondences with the seven classical planets, the seven days, or the seven degrees. However, this symbolic choice depends on the authors and orders: the geometry of the star alone does not contain a universal magical doctrine.
| Points | 7 |
|---|---|
| Regular forms | {7/2} and {7/3} |
| Support | Regular heptagon |
| Classical construction | Not exactly constructible with an unmarked ruler and compass |
| Reception | Occult septenary symbolism |
Why are there two regular heptagrams?
Start with seven regularly spaced points on a circle. Connecting each point to the second one after it produces the star denoted {7/2}. Skipping two vertices and joining the third produces {7/3}.
Both figures have seven points and edges of equal length, but their intersections and internal designs are not identical. Using a name without specifying the pattern can therefore cause confusion.
What is special about the regular heptagon?
A regular heptagon divides the circle into seven equal angles. Unlike the equilateral triangle or the pentagon, it cannot be constructed exactly using only the classical operations of an unmarked ruler and compass.
Approximate constructions, marked rules, and mechanical methods nevertheless make it possible to draw it. This geometric difficulty has contributed to its appeal among some enthusiasts of rare figures.
Why do occultists associate it with the planets?
The seven celestial bodies of ancient astrology — the Sun, Moon, Mercury, Venus, Mars, Jupiter, and Saturn — form an immediately available set for commenting on a seven-pointed star.
This correspondence appears in distinct occult systems. It should be situated within their texts rather than attributed to all heptagrams, including those whose context has nothing to do with astrology.
How does it differ from the pentagram and hexagram?
The pentagram can be regularly drawn with five points and has a close mathematical relationship with the golden ratio. The common hexagram forms two interlocking triangles.
The heptagram introduces seven vertices and two distinct regular star figures. The graphic resemblance among the three symbols does not justify assigning them an identical religious meaning.
Why does its spiritual value vary across traditions?
The number seven is laden with meaning in several religions, calendars, and esoteric traditions. The figure therefore becomes an available vehicle for commentary on cycles and correspondences.
These comments may be coherent within a school of thought, but the number of points does not prove a common original meaning across all cultures.
Historical sources and reference points
Wolfram MathWorld, “Regular Heptagon” documents the properties and construction limits of the heptagon. The geometric notation {7/2} and {7/3} distinguishes the two regular stars.
