Quasiperiodic plane tilings based on stepped surfaces.
Static and dynamic characteristics of layerwise growth in two-dimensional quasiperiodic Ito-Ohtsuki tilings are studied. These tilings are the projections of three-dimensional stepped surfaces. It is proved that these tilings have hexagonal self-similar growth with bounded radius of neighborhood. A formula is given for the averaged coordination number. Deviations of coordination numbers from its average are quasiperiodic. Ito-Ohtsuki tiling can be decomposed into one-dimensional sector layers. These sector layers are one-dimensional quasiperiodic tilings with properties like Ito-Ohtsuki tilings.
Shutov
A V
AV
Department of Physics, Vladimir State Pedagogical University, 11 Stroiteley pr., Vladimir 600024, Russia.
Maleev
A V
AV