Open AccessSelf-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry
Author(s) -
Longguang Liao,
HuaHua Fu,
Xiujun Fu
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.7088
Subject(s) - rhombus , quasicrystal , quasiperiodic function , rotational symmetry , symmetry (geometry) , unit (ring theory) , penrose tiling , primitive cell , transformation (genetics) , square (algebra) , physics , square tiling , crystallography , geometry , mathematics , condensed matter physics , crystal structure , grid , chemistry , biochemistry , mathematics education , gene
The structural properties of a quasicrystal model with twelve-fold rotational symmetry are studied. We correct the errors in the self-similar transformation of the square-rhombus-hexagon tiling model proposed by Socolar. Based on the Stampfli-Ghler square-rhombus-triangle tiling model the quasi-unit cell is successfully constructed which can describe the dodecagonal quasiperiodic structure by the covering theory.