- Stella octangula
The stella octangula, also known as the stellated octahedron, Star Tetrahedron, eight-pointed star, or two-dimensionally as the
Star of David. It was given its name by Johannes Keplerin 1609, though it was known to earlier geometers. It was first depicted in Pacioli's "Divina Proportione," 1509.
It is the simplest of five regular
It can be seen as either a
polyhedron compoundor a stellation:
As a compound, is constructed as the union of two tetrahedra (a tetrahedron and its
counter-tetrahedron). The vertex arrangementof the two tetrahedra is shared by a cube. The intersection of the two tetrahedra form an inner octahedron, which shares the same face-planes as the compound.
It can be seen as an
octahedronwith tetrahedral pyramids on each face. It has the same topology as the convex Catalan solid, the triakis octahedron, which has much shorter pyramids.
As a stellation, it is the only stellated form of the )
Peter R. Cromwell, "Polyhedra", Cambridge, 1997.
Luca Pacioli, "De Divina Proportione", 1509.
* [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]
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