We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Application of symmetry operations for construction of quasiperiodic structures in a plane.
- Authors
Polyakov, A. A.
- Abstract
A method is proposed for constructing a quasiperiodic structure of symmetry elements — regular pentagons and five-pointed stars — in a plane. The growth of the structure is determined by the action of the symmetry operations, whose effect is not completely identical to that of similar operations in classical crystallography. The tiling (“flower of pentagons”), consisting of a central pentagon and five side pentagons joined along the edges, is studied. The growth of this tiling is accompanied by the appearance of a “flower of stars” and by the formation of isolated pores in the form of rhombi. The relation between the obtained structure and Penrose tiling is examined, and it is noted that some vertices of the Penrose tiling coincide with all vertices of the polygons of the packing obtained. © 1997 American Institute of Physics.
- Subjects
SYMMETRY (Physics); PENROSE transform
- Publication
JETP Letters, 1997, Vol 65, Issue 8, p670
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/1.567404