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Figure 5
The triacontahedron, discovered by Kepler in 1611, which is the projection in three dimensions of the six-dimensional cube, has point generators [200000] and [[111\bar{1}1\bar{1}] = S_{1/\tau^2}[111000]]. It has 32 vertices and 30 rhombic faces. The corresponding 60 triangular facets define the ico-dodecahedron obtained from a T = 3 Caspar–Klug polyhedron by rescaling of the dodecahedral vertices (Janner, 2006aBB13).

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ISSN: 2053-2733
Volume 62| Part 5| August 2006| Pages 319-330
doi:10.1107/S0108767306022227
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