  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.
