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Pentagram

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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 comes from the Greek word πεντάγραμμον (pentagrammon), from πέντε (pente), "five" + γραμμή (grammē), "line". The word pentagram refers to just the star and the word pentacle refers to the star within a circle, although there is some overlap in usage. The word pentalpha is a 17th-century revival of a post-classical Greek name of the shape.

Tables

· Geometry › Higher dimensions
The regular 5-cell (4-simplex) has five vertices and 10 edges.
The regular 5-cell (4-simplex) has five vertices and 10 edges.
4D
The regular 5-cell (4-simplex) has five vertices and 10 edges.
4D
The rectified 5-cell has 10 vertices and 30 edges.
5D
The rectified 5-simplex has 15 vertices, seen in this orthogonal projection as three nested pentagrams.
5D
The birectified 5-simplex has 20 vertices, seen in this orthogonal projection as four overlapping pentagrams.
4D
5D
The regular 5-cell (4-simplex) has five vertices and 10 edges.
The rectified 5-cell has 10 vertices and 30 edges.
The rectified 5-simplex has 15 vertices, seen in this orthogonal projection as three nested pentagrams.
The birectified 5-simplex has 20 vertices, seen in this orthogonal projection as four overlapping pentagrams.

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