Golden ratio | Star polygons | Pythagorean symbols

Pentagram

A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon. Drawing a circle around the five points creates a similar symbol referred to as the pentacle, which is used widely by Wiccans and in paganism, or as a sign of life and connections. The word "pentagram" refers only to the five-pointed star, not the surrounding circle of a pentacle. Pentagrams were used symbolically in ancient Greece and Babylonia. Christians once commonly used the pentagram to represent the five wounds of Jesus. Today the symbol is widely used by the Wiccans, witches, and pagans. The pentagram has magical associations. Many people who practice neopaganism wear jewelry incorporating the symbol. The word pentagram comes from the Greek word πεντάγραμμον (pentagrammon), from πέντε (pente), "five" + γραμμή (grammē), "line".Pentagram refers to just the star and pentacle refers to the star within the circle specifically although there is some overlap in usage. The word pentalpha is a 17th-century revival of a post-classical Greek name of the shape. (Wikipedia).

Pentagram
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The Vitruvian pond: wave front in a 5-pointed star

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Related pages

Rectified 5-cell | Pentagrammic antiprism | Decagram (geometry) | Dodecadodecahedron | Vertex figure | Small stellated dodecahedron | Carl Friedrich Gauss | Pentagon | Schläfli symbol | Vertex (geometry) | Pentagrammic prism | Isogonal figure | Pentagrammic crossed-antiprism | Golden ratio | Regular 4-polytope | Isosceles triangle | Simplex | Star polygon | Truncation (geometry) | Equidistant | Golden triangle (mathematics) | 5-cell | Great stellated dodecahedron | Dihedral group | Line segment | Symmetry group | Stellation | Intersection | Small ditrigonal icosidodecahedron | Pentagonal pyramid | Regular polygon | Pythagoreanism