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What are octahedra?

What are octahedra? Here are some definitions.

Noun
  1. plural of octahedron
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Examples
Copper, Cu, has been found associated with cuprite octahedra at Pedra Preta, where these minerals occur on talc and magnesite.
This Eagle mine is well known for dark spruce-green, rough-surfaced octahedra of fluorite associated with rhombohedra of rhodochrosite to 0.75 inch on edge.
One small lot of specimens from Alta Floresta, Mato Grosso, exhibited moderately rounded, well-developed octahedra.
Peterson and Jordan go on to investigate interesting links between integer octahedra and integer antiprisms.
The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent.
Most that I have seen have been elongated octahedra or other forms, such as some of the branches of an arborescent aggregate.

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