Related Experiment Video
Updated: Jul 5, 2026

Rendering SiO2/Si Surfaces Omniphobic by Carving Gas-Entrapping Microtextures Comprising Reentrant and Doubly Reentrant Cavities or Pillars
Published on: February 11, 2020
Quasiperiodic plane tilings based on stepped surfaces
1Department of Physics, Vladimir State Pedagogical University, 11 Stroiteley pr., Vladimir 600024, Russia.
Abstract:
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.
Related Concept Videos
Tangent Planes to Level Surfaces
Tangent Planes to Surfaces
Quadric Surfaces
Tangent Planes to a Parametric Surface
Interpretations of Partial Derivatives
Parametric Surfaces

