Non-Periodic Rhomb Substitution Tilings that Admit Order n Rotational Symmetry

被引：0
|
作者：
E. O. Harriss
机构：
[1] Queen Mary,
[2] University of London,undefined
[3] Mile End Road,undefined
[4] London E1 4N5,undefined
来源：
Discrete & Computational Geometry | 2005年 / 34卷
关键词：
Computational Mathematic; Isomorphism Class; Rotational Symmetry; Algebraic Number; Substitution Rule;
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学科分类号：
摘要：
For each n ∈ ℕ we construct a substitution rule using the set of rhombs with angles (πk)/n. These substitution rules generate a local isomorphism class of tilings closed under rotation of order 2n, and also admit singular tilings fixed under a rotation of order n. The scaling factors for this set of substitution rules includes algebraic numbers of every rank.
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页码：523 / 536
页数：13
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