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A regular hexagram, , can be seen as a compound composed of an upwards (blue here) and downwards (pink) facing equilateral triangle, with their intersection as a regular hexagon (in green). A hexagram or sexagram is a six-pointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}.
In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides. All polygons are polygrams, but they can also include disconnected sets of edges, called a compound polygon. For example, a regular pentagram, {5/2}, has 5 sides, and the regular hexagram, {6/2} or 2{3}, has 6 sides divided into two ...
It can be seen as a 3D extension of the hexagram: the hexagram is a two-dimensional shape formed from two overlapping equilateral triangles, centrally symmetric to each other, and in the same way the stellated octahedron can be formed from two centrally symmetric overlapping tetrahedra.
Especially in roleplaying games, this solid is known as a "d8", one of the more common polyhedral dice. If each edge of an octahedron is replaced by a one- ohm resistor , the resistance between opposite vertices is 1 / 2 ohm, and that between adjacent vertices 5 / 12 ohm.
Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron , which has eight triangular faces. Because of the ambiguity of the term octahedron and tilarity of the various eight-sided figures, the term is rarely used without clarification.
An adapted unicursal hexagram is an important symbol in Thelema. In Aleister Crowley's Thelema, the hexagram is usually depicted with a five-petalled flower in the centre which symbolises the pentagram. The hexagram represents the heavenly macrocosmic or planetary forces and is a symbol equivalent to the Rosicrucian Rose Cross or ancient ...
In Unicode, the "Eight Spoked Asterisk" symbol is U+2733.; The spikes are specially visible around Jupiter's moon Europa (on the left) in this NIRCam image.. The 8-pointed diffraction spikes of the star images from the James Webb Space Telescope are due to the diffraction caused by the hexagonal shape of the mirror sections and the struts holding the secondary mirror.
Proof without words that a hexagonal number (middle column) can be rearranged as rectangular and odd-sided triangular numbers. A hexagonal number is a figurate number.The nth hexagonal number h n is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex.