2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15911We propose a class of networks which can be regarded as an extension of the graphitic network. These networks are constructed so that surface states with non-bonding character (edge states) are formed in a tight-binding model with one orbital for each atomic site. Besides, for several networks, the tight-binding electronic structures become a zero-gap semiconductor. These properties have been found in the $π$-electron system of the graphene. Thus, we call these networks hypergraphite.12 pages, 7 figuresMaterials Sciencetext