| 31. | Truncating edges down to points produces the great icosidodecahedron as a rectified great stellated dodecahedron.
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| 32. | It can also be decomposed into two pentagonal pyramids and a dodecahedron in the middle.
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| 33. | The rhombic dodecahedron is a Voronoi cell of the other ideal way to stack spheres.
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| 34. | Its convex hull is a regular dodecahedron.
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| 35. | It is center of a truncation sequence between a small stellated dodecahedron and great dodecahedron:
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| 36. | It is center of a truncation sequence between a small stellated dodecahedron and great dodecahedron:
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| 37. | It shares its vertex arrangement with the truncated great dodecahedron and the 12 pentagonal prisms.
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| 38. | In the final scene, the band can be seen watching themselves in the dodecahedron.
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| 39. | The snub dodecahedron can also be derived from the truncated icosidodecahedron by the process of alternation.
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| 40. | The symbols of the icosian calculus can be equated to moves between vertices on a dodecahedron.
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