| 1. | The dual of a dual is just the original polyhedron again.
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| 2. | An abstract polyhedron is an abstract polytope having the following ranking:
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| 3. | The 1 * denotes the only 1-vertex basic polyhedron.
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| 4. | This convex polyhedron is topologically similar to the concave stellated octahedron.
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| 5. | The cube is a regular polyhedron, and a square prism.
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| 6. | The octahedron is a regular polyhedron, and a triangular antiprism.
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| 7. | A "'truncated polyhedron, depending on the definition.
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| 8. | As such, it is a regular polyhedron of index two:
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| 9. | One such polyhedron is in the National Museum of American History.
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| 10. | A stellation diagram exists for every face of a given polyhedron.
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