Two-dimensional dodecagonal quasilattices
- 21 April 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (6) , L405-L410
- https://doi.org/10.1088/0305-4470/20/6/012
Abstract
Two-dimensional quasiperiodic lattices with 12-fold rotational symmetry are constructed by projecting a four-dimensional hyperhexagonal lattice onto a two-dimensional subspace. The projection method in the present case is greatly simplified by representing the four-dimensional lattice as a complex two-dimensional lattice. By choosing windows with different forms one obtains several quasiperiodic tilings, which have a self-similarity. One of the tilings is quite similar to the pattern of the dodecagonal quasicrystal of a NiCr alloy.Keywords
This publication has 8 references indexed in Scilit:
- Quasicrystals. I. Definition and structurePhysical Review B, 1986
- Crystallography of quasi-crystalsActa Crystallographica Section A Foundations of Crystallography, 1986
- Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilingsJournal of Physics A: General Physics, 1986
- Quasiperiodic patterns and icosahedral symmetryJournal de Physique, 1986
- Quasicrystal with One-Dimensional Translational Symmetry and a Tenfold Rotation AxisPhysical Review Letters, 1985
- New ordered state between crystalline and amorphous in Ni-Cr particlesPhysical Review Letters, 1985
- A simple derivation of quasi-crystalline spectraJournal of Physics A: General Physics, 1985
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984