an:06779341
Zbl 1370.52066
Shutov, A. V.; Maleev, A. V.
Quasiperiodic plane tilings based on stepped surfaces
EN
Acta Crystallogr., Sect. A 64, No. 3, 376-382 (2008).
00370061
2008
j
52C23
quasiperiodic plane tilings; stepped surfaces
Summary: 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.