Non-Periodic Rhomb Substitution Tilings that Admit Order n Rotational Symmetry |
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Authors: | E O Harriss |
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Institution: | (1) Queen Mary, University of London, Mile End Road, London E1 4N5, England |
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Abstract: | 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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