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Pyrite — image 1
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Pyrite

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The (210) faces of Pyrite.

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Creative Commons — Public Domain

The (210) faces of Pyrite, forming a pyrite dodecahedron (also known as "pyritohedron"). These can occur naturally, and almost look like pentagonal symmetry. The space group is Pa-3 (cubic). It's kind of hard to spot the cubic symmetry, see 2nd image for orientation of the defining threefold axis.

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