Hyperbolic analogues of fullerenes with face-types (6, 9) and (6, 10)

@article{Knor2016HyperbolicAO,
  title={Hyperbolic analogues of fullerenes with face-types (6, 9) and (6, 10)},
  author={Martin Knor and Maryam Verdian-Rizi},
  journal={Discrete Mathematics},
  year={2016},
  volume={339},
  pages={103-108}
}
Mathematical models of fullerenes are cubic polyhedral and spherical maps of face-type (5, 6), that is, with pentagonal and hexagonal faces only. Any such map necessarily contains exactly 12 pentagons, and it is known that for any integer α ≥ 0 except α = 1 there exists a fullerene map with precisely α hexagons. In this paper we consider hyperbolic… CONTINUE READING