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Two-dimensional trigonal chiral and hexagonal quasilattice

Abstract

Two-dimensional trigonal chiral and hexagonal quasilattice

Rochal S. B., Rochal D. S.

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.