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Octahedron

One of the five platonic solids, and dual of the cube. This model was made from a single connected net, printed on one sheet of A4 paper. Nets can be generated and printed using any of Small Stella, Great Stella, or Stella4D, and is even available in their free demo versions.

Here's how an octahedron might look in Stella. You can see more screenshots here.
Here is a compound of the octahedron with its dual.
Multiple octahedra can be arranged in an intersecting manner to form various compounds. Here is the best known one consisting of 5 intersecting octahedra. It is also a faceting of the icosidodecahedron and a stellation of the icosahedron.
The octahedron has one stellation. This is also a faceting of the cube and a compound of two tetrahedra.

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