# Pentagram

**pentagrams{5/2}five-pointed starpentaclePentagram of VenusPentangles5-pointed star5/2five pointed starfive-pointed stars**

A pentagram (sometimes known as a pentalpha, pentangle or star pentagon) is the shape of a five-pointed star.wikipedia

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### Wicca

**WiccanWiccansEclectic Wicca**

Pentagrams were used symbolically in ancient Greece and Babylonia, and are used today as a symbol of faith by many Wiccans, akin to the use of the cross by Christians and the Star of David by the Jews.

The five elements are symbolised by the five points of the pentagram, the most prominently used symbol of Wicca.

### Pythagoreanism

**PythagoreanPythagoreansPythagorean school**

In Neoplatonism, the pentagram was said to have been used as a symbol or sign of recognition by the Pythagoreans, who called the pentagram ὑγιεία hugieia "health"

They also revered the pentagram, as each diagonal divides the two others at the golden ratio.

### Pentacle

**pentacle to SatanpentaclesWiccan pentacle**

The word "pentacle" is sometimes used synonymously with "pentagram".

For example, the Online Oxford English Dictionary (2007 revision) states that the words 'pentacle' and 'pentagram' (a five-point unicursal star) are essentially synonymous.

### Lesser banishing ritual of the pentagram

**Lesser ritual of the pentagramLBRPPentagram**

In this spirit, the Hermetic Order of the Golden Dawn developed the use of the pentagram in the lesser banishing ritual of the pentagram, which is still used to this day by those who practice Golden Dawn-type magic.

The ritual is perceived as banishing any "chaotic" and "impure" forms of the elements from the magician's circle tracing the Pentagrams in the air and by the power of certain Divine names followed by an invocation of the spiritual forces ruling the elements to fortify and guard the circle.

### Flag of Morocco

**MoroccoFlagFlag of**

*The pentagram is featured on the national flags of Morocco (adopted 1915) and Ethiopia (adopted 1996 and readopted 2009)

The flag of Morocco is made a red field with a black-bordered green pentagram.

### Schläfli symbol

**Schläfliextended Schläfli symbolSchläflisymbol**

It is represented by the Schläfli symbol {5/2}.

For example, {5/2} is a pentagram.

### Éliphas Lévi

**Eliphas LeviEliphas LéviAlphonse Louis Constant**

He was also the first to declare that a pentagram or five-pointed star with one point down and two points up represents evil, while a pentagram with one point up and two points down represents good.

### Star polygon

**starstarsStar (polygon)**

The pentagram is the simplest regular star polygon.

The first usage is included in polygrams which includes polygons like the pentagram but also compound figures like the hexagram.

### Drude

**DrudenDrudenfusstrute**

The apotropaic use of the pentagram symbol in German folklore (called Drudenfuss in German) is referred to by Goethe in Faust (1808), where a pentagram prevents Mephistopheles from leaving a room (but did not prevent him from entering by the same way, as the outward pointing corner of the diagram happened to be imperfectly drawn):

The Drudenfuss (or Drudenfuß), literally "drude's foot" (also Alpfuss ), is the pentagram symbol (in early usage also either a pentagram or a hexagram), believed to ward off demons, explicitly so named in Goethe's Faust (1808).

### Pentagon

**{5}pentagonalpentagons**

The pentagram can be constructed by connecting alternate vertices of a pentagon; see details of the construction.

A self-intersecting regular pentagon (or star pentagon) is called a pentagram.

### Golden ratio

**golden sectiongolden meanφ**

The golden ratio, φ = (1 + √5) / 2 ≈ 1.618, satisfying

Ancient Greek mathematicians first studied what we now call the golden ratio because of its frequent appearance in geometry; the division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons.

### Stellation

**stellatedStellated polygonsstellated polyhedra**

It can also be constructed as a stellation of a pentagon, by extending the edges of a pentagon until the lines intersect.

### Heinrich Cornelius Agrippa

**Cornelius AgrippaHenry Cornelius AgrippaAgrippa**

### Five-pointed star

**five-pointedstarstars**

If the collinear edges are joined together a pentagram is produced.

### Seal of Solomon

**Ring of SolomonSolomon's sealGreat Seal**

It was often depicted in either a pentagram or hexagram shape; the latter also known as the Star of David in Jewish tradition.

### Truncation (geometry)

**truncatedtruncationtruncations**

A uniform truncated pentagram t{5/2} produces a doubly-wrapped pentagon with overlapping vertices and edges, {10/2}.

A truncated pentagram {5/2} will look like a pentagon, but is actually a double-covered (degenerate) decagon ({10/2}) with two sets of overlapping vertices and edges.

### Golden triangle (mathematics)

**golden trianglegolden gnomonRobinson triangles**

The acute triangles are golden triangles.

Also, it is the shape of the triangles found in the points of regular pentagrams.

### Pentagram map

The pentagram map takes a given polygon, finds the intersections of the shortest diagonals of the polygon, and constructs a new polygon from these intersections.

### Hexagram

**hexagramsAltered hexagonHexagram''' (shape)**

It was first used as a religious symbol by Arabs in the medieval period, known as the Seal of Solomon, depicted as either a hexagram or pentagram, and which was later adopted by Jewish Kabbalists.

### Heptagram

**{7/2}seven pointed starseven-pointed star**

The smallest star polygon is the {5/2} pentagram.

### Pentagonal pyramid

**J 2 5**

It can be seen as a net of a pentagonal pyramid although with isosceles triangles.

The pentagrammic star pyramid has the same vertex arrangement, but connected onto a pentagram base:

### Star polygons in art and culture

**six-pointed stareight-pointed starsix-pointed stars**

If the colinear edges are joined together, a pentagram is produced, which is the simplest of the unicursal star polygons, and a symbol of mystical and magical significance.

### Lute of Pythagoras

The lute of Pythagoras is a self-similar geometric figure made from a sequence of pentagrams.

### Regular polygon

**regularregular polygons30-gon**

The pentagram is the simplest regular star polygon.

The most common example is the pentagram, which has the same vertices as a pentagon, but connects alternating vertices.

### Venus

**Morning Starevening starplanet Venus**

The pentagram of Venus is the apparent path of the planet Venus as observed from Earth.

The pentagram of Venus is the path that Venus makes as observed from Earth.