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中国物理学会期刊

十二次对称准周期结构的自相似变换及准晶胞构造

CSTR: 32037.14.aps.58.7088

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

CSTR: 32037.14.aps.58.7088
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  • 研究十二次对称准晶体模型的几何结构性质.修正了Socolar在正方形-菱形-六边形拼图模型中自相似变换的错误.在Stampfli-Ghler正方形-菱形-三角形拼图模型的基础上,成功地构造出了准晶胞,使得十二次对称准周期结构可以用覆盖理论描述.

     

    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-Ghler 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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