- Stella octangula
The

**stella octangula**, also known as the**stellated octahedron**,**Star Tetrahedron**,**eight-pointed star**, or two-dimensionally as the. It was given its name byStar of David Johannes Kepler in1609 , though it was known to earliergeometer s. It was first depicted inPacioli 's "Divina Proportione," 1509.It is the simplest of five regular

polyhedral compound s.It can be seen as either a

polyhedron compound or astellation :As a

**compound**, is constructed as the union of two tetrahedra (a tetrahedron and itscounter-tetrahedron ). Thevertex arrangement of the two tetrahedra is shared by a cube. The intersection of the two tetrahedra form an inneroctahedron , which shares the same face-planes as the compound.It can be seen as an

octahedron with tetrahedral pyramids on each face. It has the same topology as the convexCatalan solid , thetriakis octahedron , which has much shorter pyramids.As a

**stellation**, it is the only stellated form of the )**See also***

Polyhedron

*Merkaba

*Polyhedron model s

*Plane (metaphysics) **References***

Peter R. Cromwell , "Polyhedra", Cambridge, 1997.

*Luca Pacioli , "De Divina Proportione", 1509.**External links***

VRML model: [*http://interocitors.com/polyhedra/UCs/04__2_Tetrahedra.wrl*]

* [*http://www.lifeisastoryproblem.org/explore/net_stella_octangula.pdf Printable Net of a Stella Octangula*] [*http://www.lifeisastoryproblem.org Life is a Story Problem.org*]

*Wikimedia Foundation.
2010.*

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**Estrella octángula**— Este artículo trata sobre fasf. Para la estrella de ocho puntas, véase Estrella tartésica. Representación de una estrella octángula. La estrella octángula de Kepler, o stella octangula en latín, como el mismo Kepler lo denominó es un poliedro… … Wikipedia Español**Polyhedral compound**— A polyhedral compound is a polyhedron that is itself composed of several other polyhedra sharing a common centre. They are the three dimensional analogs of polygonal compounds such as the hexagram. Neighbouring vertices of a compound can be… … Wikipedia**Compound of twelve tetrahedra with rotational freedom**— Type Uniform compound Index UC2 Polyhedra 12 tetrahedra Faces 48 triangles … Wikipedia**Cube**— This article is about the geometric shape. For other uses, see Cube (disambiguation). Regular Hexahedron (Click here for rotating model) Type Platonic solid Elements F = 6, E = 12 V = 8 (χ = 2) … Wikipedia**Tetrahedron**— For the academic journal, see Tetrahedron (journal). Regular Tetrahedron (Click here for rotating model) Type Platonic solid Elements F = 4, E = 6 V = 4 (χ = 2) Faces by s … Wikipedia**Deltahedron**— This is a truncated tetrahedron with hexagons subdivided into triangles. This figure is not a deltahedron since coplanar faces are not allowed within the definition. A deltahedron (plural deltahedra) is a polyhedron whose faces are all… … Wikipedia**Stellated octahedron**— Type Regular compound Coxeter Dynkin diagram … Wikipedia**Compose polyedrique**— Composé polyèdrique Un composé polyèdrique est un polyèdre qui est lui même composé de plusieurs autres polyèdres partageant un centre commun, l analogue tridimensionnel des composés polygonaux tel que l hexagramme. Les sommets voisins d un… … Wikipédia en Français