Beilstein J. Org. Chem.2011,7, 222–233, doi:10.3762/bjoc.7.30
reciprocalpolyhedra. The vertices in the closo-boranes correspond to faces in its polycyclic hydrocarbon counterpart and vice versa. The different bonding patterns in the two series are described. Several of these hydrocarbons (cubane, pentagonal dodecahedrane and the trigonal and pentagonal prismanes) are
described.
Keywords: cage hydrocarbons; high symmetry; reciprocalpolyhedra; Review
Platonic polyhedra and the Euler relationship
The Platonic solids have long fascinated geometers, artists and chemists alike. Molecular analogues of the tetrahedron (P4, B4Cl4, Si4t-Bu4), octahedron ([B6H6]2−), cube (C8H8
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Graphical Abstract
Figure 1:
Molecular analogues of the Platonic solids.