Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry | Zendy

Longguang Liao | Zendy; Hong Fu | Zendy; Fu Xiu-Jun | Zendy

Open Access

Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry

Author(s) -

Longguang Liao,

Hong Fu,

Fu Xiu-Jun

Publication year - 2009

Publication title -

acta physica sinica

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.

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