title: Symmetry groups of single-wall nanotubes.
abstract: This work investigates the symmetry properties of single-wall carbon nanotubes and their structural analogs, which are nanotubes consisting of different kinds of atoms. The symmetry group of a nanotube is studied by looking at symmetries and color fixing symmetries associated with a coloring of the tiling by hexagons in the Euclidean plane which, when rolled, gives rise to a geometric model of the nanotube. The approach is also applied to nanotubes with non-hexagonal symmetry arising from other isogonal tilings of the plane.
authors.affiliation: Mathematics Department, Ateneo de Manila University, Loyola Heights, Quezon City, 1108, Philippines.
authors.forename: Ma Louise Antonette N
authors.initials: ML
authors.lastname: De Las Peñas
authors.affiliation: Mathematics Department, Ateneo de Manila University, Loyola Heights, Quezon City, 1108, Philippines.
authors.forename: Mark L
authors.initials: ML
authors.lastname: Loyola
authors.affiliation: Chemistry Department, Ateneo de Manila University, Loyola Heights, Quezon City, 1108, Philippines.
authors.forename: Antonio M
authors.initials: AM
authors.lastname: Basilio
authors.affiliation: Mathematics Department, Ateneo de Manila University, Loyola Heights, Quezon City, 1108, Philippines.
authors.forename: Eko Budi
authors.initials: EB
authors.lastname: Santoso
keywords: color symmetry; single-wall nanotubes; structural analogs; symmetry groups