TY - JOUR
T1 - Inflation rules of square-triangle tilings
T2 - From approximants to dodecagonal liquid quasicrystals
AU - Zeng, X.
AU - Ungar, G.
PY - 2006/2/21
Y1 - 2006/2/21
N2 - An inflation rule for square-triangle tilings is presented and its properties described. Its relationship to other previously found inflation rules, used to generate models of dodecagonal quasicrystals, is discussed. The rule is applied to generate a series of approximants of dodecagonal quasicrystal, including the well-known and P 4 2 / mnm structures. The bigger the unit cell dimensions, the closer the structures of these approximants are to that of the dodecagonal quasicrystal.
AB - An inflation rule for square-triangle tilings is presented and its properties described. Its relationship to other previously found inflation rules, used to generate models of dodecagonal quasicrystals, is discussed. The rule is applied to generate a series of approximants of dodecagonal quasicrystal, including the well-known and P 4 2 / mnm structures. The bigger the unit cell dimensions, the closer the structures of these approximants are to that of the dodecagonal quasicrystal.
UR - https://www.scopus.com/pages/publications/31444446728
U2 - 10.1080/14786430500363148
DO - 10.1080/14786430500363148
M3 - 文献综述
AN - SCOPUS:31444446728
SN - 1478-6435
VL - 86
SP - 1093
EP - 1103
JO - Philosophical Magazine
JF - Philosophical Magazine
IS - 6-8
ER -