Two-dimensional trigonal chiral and hexagonal quasilattice
Abstract
Two-dimensional trigonal chiral and hexagonal quasilattice
The construction of a two-dimensional tiling by a specific projection of three-dimensional cubic lattice is considered. Different a periodic tiling’s, consisting of equal rhombi, are obtained by different choice of the projection region. They are ordinary a periodic tiling, having local elements of symmetry group С6v and chiral trigonal stacking, built like chiral pentagonal Penrose’s quasilattice [1], which occurs in virus cap sides.
Keywords: Quasicrystal, quasilattice, two-dimensionalquasicrystal, chiral quasicrystal.