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Unformatted text preview: the intermediate (octahedron) to air Note that earth is associated with the cube, with its six square faces. This lent support to the notion of the foursquaredness of the earth. The Cosmos But there are five regular polyhedra and only four elements. Plato writes, "There still remained a fifth construction, which the god used for embroidering the constellations on the whole heaven." Plato's statement is vague, and he gives no further explanation. Later Greek philosophers assign the dodecahedron to the ether or heaven or the cosmos. The dodecahedron has 12 faces, and our number symbolism associates 12 with the zodiac. This might be Plato's meaning when he writes of "embroidering the constellations" on the dodecahedron. Note that the 12 faces of the dodecahedron are pentagons. Recall that the pentagon contains the golden ratio. Perhaps this has something to do with equating this figure with the cosmos....
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- Fall '10