Fractal model of structural symmetry of multicomponent materials

Authors

  • V. Yu. Kostyrya
  • I. N. Fedorchenko
  • P. V. Travini
  • G. V. Kokashinskaya

Keywords:

Fractal model, symmetry, multicomponent materials.

Abstract

Any atomic-crystalline structure is a multilayer fractal structure and its topological dimension is d = ln5 / ln2 ≈ 1.809. From the point of view of a three-dimensional observer, the topological dimension will be d = ln13 / ln2 ≈ 5,1299250, and with the maximum tendency of iterative rotation and fractalization operations according to the algorithm of the original figures, two tetrahedra fill the elementary cubic cell.

Author Biographies

V. Yu. Kostyrya

National Metallurgical Academy of Ukraine

I. N. Fedorchenko

National Metallurgical Academy of Ukraine

P. V. Travini

National Metallurgical Academy of Ukraine

G. V. Kokashinskaya

National Metallurgical Academy of Ukraine

Published

2011-03-22

Issue

Section

Proceedings in memory of Starodubov