In this terminology, our definition of projective fullerenes amounts to selection of cell-complex projective-planar 3-valent maps with only 5- and 6-gonal feces. As noted above, P5 — 6 for these maps. Thus, the Petersen graph is die smallest projective fullerene. In general, the projective fullerenes are exactly the antipodal quotients of the centrally symmetric spherical fullerenes. [Pg.42]

The real projective space RP can be represented as a CW complex with one cell in each dimension from 0 to n. This cell structure is the Z2-quotient, with respect to the antipodal map, of the cell structure on the sphere S , which we described in (l)(b) above. [Pg.36]

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