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

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作者
E. O. Harriss
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[1] Queen Mary,
[2] University of London,undefined
[3] Mile End Road,undefined
[4] London E1 4N5,undefined
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Computational Mathematic; Isomorphism Class; Rotational Symmetry; Algebraic Number; Substitution Rule;
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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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