THEORY OF SELF-SIMILARITY OF PERIODIC APPROXIMANTS TO A QUASI-LATTICE
THEORY OF SELF-SIMILARITY OF PERIODIC APPROXIMANTS TO A QUASI-LATTICE
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DOI：
10.1088/0305-4470/24/20/019
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发表时间：
1991-10-21
期刊：
影响因子：
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通讯作者：
NIIZEKI, K
中科院分区：
文献类型：
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作者：
NIIZEKI, K
结果表明，准格的自相似性对准格的周期逼近有着深远的影响：将周期近似值分组为系列，使得（i）每个系列通过连续应用紧缩和重新缩放从其原型生成，（ii）空间群在系列的成员之间是共同的，以及（iii）近似物的晶胞随着系列号按比例放大τ，其中τ是相关准晶格的自相似性的尺度。 这些结果的例子与应用的情况下的八边形准晶格。
It is shown that self-similarity of a quasilattice has a profound effect on the periodic approximants to the quasilattice: The periodic approximants are grouped into series so that (i) each series is generated from its prototype by a successive application of the deflation-and-rescaling, (ii) the space group is common among the members of the series and (iii) the unit cell of the approximant is scaled up by tau with the series number, where tau is the scale of self-similarity of the relevant quasilattice. These results are exemplified with application to the case of the octagonal quasilattice.