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What is an octahedron?

What is an octahedron? Here are some definitions.

Noun
  1. (geometry) a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.
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Examples
This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings.
The one exception is the exciting accidental discovery of a 4.22-carat, gem-quality octahedron in Dale County, Alabama.
These give the solid angles of the tetrahedron, the octahedron and the icosahedron.
Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron.
The large four-sided facets above and below and to the right and left of the table are the faces of the octahedron.
While writing, I may choose a clear Quartz Crystal for clarity or a yellow Fluorite octahedron to help keep creative thoughts flowing.

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