All pentagonal face multi tori

Details All pentagonal face multi tori All pentagonal face multi tori

2011-04-05

arxiv.org/abs/1104.0917v1

M. V. Diudea, A. Ili\'c, All pentagonal face multitori, J. Comput. Theor. Nanosci. 8 (2011) 736-739

Mathematics

Combinatorics

8 pages, 5 figure

Scientific paper

Design of monomeric unit, by using sequences of map operations, and the growing process in the building of a double-shell multi torus with all-pentagonal faces, is presented. It is shown that the monomer and some small intermediates, as hydrogenated species, have a moderate stability, between adamantane and C60 fullerene, as calculated at the PM3 level of theory. The topology of these high genera structures is described in terms of Omega polynomial as a function of the net parameters. Closed formulas for this polynomial and examples are presented.

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