Inflation rules for a chiral pentagonal quasiperiodic tiling of stars and hexes

Autor:	Chizhikov, Viacheslav A.
Rok vydání:	2024
Předmět:	Condensed Matter - Soft Condensed Matter
Zdroj:	Phys. Rev. B 110, 174104 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.110.174104
Popis:	Hexagon-boat-star (HBS) pentagonal tilings often appear in the description of decagonal quasicrystals and their periodic approximants. Being related to the Penrose tiling, they differ from the latter by a significantly higher packing density of vertices, which, in turn, depends on the relative frequency of appearance of the H, B and S tiles. Since boats (also known as "ivy leaves") have the lowest packing density, reducing their number in the tiling leads to an increase in its packing density. The paper proposes an inflation rule for a chiral tiling, which in principle contains no boats and therefore has the highest possible density among HBS tilings. The relationship between the tiling and the real structures of crystal approximants of decagonal quasicrystals is discussed. Comment: 9 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.06111 Zobrazit plný text záznamu View this record from Arxiv