It is shown that the following are equivalent statements, all implying a properly closed π-shell in Hückel theory for a fullerene isomer: the given isomer is the leapfrog of another; it has a Fries Kekulé structure; it is a Clar polyhedron; it is without a phason line.
P. W. Fowler, M. Fujita and M. Yoshida, J. Chem. Soc., Faraday Trans., 1996, 92, 3673 DOI: 10.1039/FT9969203673
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