All pentagonal face multi tori
Combinatorics
2011-04-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1104.0917,
title = {All pentagonal face multi tori},
author = {Mircea V. Diudea and Aleksandar Ilić},
journal= {arXiv preprint arXiv:1104.0917},
year = {2011}
}
Comments
8 pages, 5 figure