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The B vertices are the vertices of an icosahedron and the C vertices are the vertices of a dodecahedron. The ratio of the lengths of their edges is the Golden Ratio Φ because they are the diagonals of each face of the rhombic triacontahedron that underlies the disdyakis triacontahedron, these diagonals being equal in length to the adjacent sides of a Golden Rectangle that encloses a rhombic face and has the proportions of Φ.
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