| 1. | The icosahedron and the dodecahedron are Platonic solids with 30 edges.
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| 2. | For example, the icosahedron is the dual of the dodecahedron.
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| 3. | Where the numerator and denominator are polynomial invariants of the icosahedron.
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| 4. | Simple examples of Goldberg polyhedra include the dodecahedron and truncated icosahedron.
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| 5. | The viruses responsible for most colds and meningitis are icosahedrons.
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| 6. | For dodecahedra, which are the dual of the icosahedron.
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| 7. | A second straightforward construction of the icosahedron uses isometries on the icosahedron.
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| 8. | A second straightforward construction of the icosahedron uses isometries on the icosahedron.
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| 9. | An icosahedron can also be called a gyroelongated pentagonal bipyramid.
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| 10. | For example, HIV is enclosed in a regular icosahedron.
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