1 citations · 1 across the 6 of their papers we have counts for
6 papers
Structural Features of Quasicrystalline Nanoparticles With Seventh-Order Rotational Symmetry
Alexander S. Prokhoda
In this study, we present atomic models of nanoparticles exhibiting seventh-order rotational symmetry. We established that the point group symmetry of these objects corresponds to…
About quasiperiodic tilings, possessing five-fold symmetry
Alexander S. Prokhoda
A group-theoretical approach to the construction of quasiperiodic tilings of a Euclidean plane, possessing five-fold symmetry, is applied. Of the infinitely many of variants of qua…
About discrete groups of symmetry of similarity of Euclidean space
Alexander S. Prokhoda
Starting from the classical results of Shubnikov and Zamorzayev, computer models of shapes are implemented, which allow to visualize the action of discrete subgroups of continuous…
Geometrical modeling of dendritic structures
Alexander S. Prokhoda
Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface o…
About tilings of the type of Penrose of the two-dimensional sphere, which modellings quasicrystals
Alexander S. Prokhoda
The problem of constructing a limit series of Penrose type partitions of a two-dimensional sphere is solved, which makes it possible to model quasicrystals possessing a point icosa…
Quasicrystals in the Molecular Dynamic Model of Pure Aluminum
A. S. Prokhoda, A. M. Ovrutsky
Growth and structures of crystals in the model of Al obtained in results of isothermal annealing after quick cooling to certain temperatures are studied by the method of molecular…