Construction of a 3D Penrose Tiling from 3D Star Fractals: Approaches to Solution
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Published:2022-08
Issue:8
Volume:2022
Page:844-850
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ISSN:0036-0295
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Container-title:Russian Metallurgy (Metally)
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language:en
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Short-container-title:Russ. Metall.
Publisher
Pleiades Publishing Ltd
Subject
Metals and Alloys
Reference18 articles.
1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, “Metallic phase with long-range orientational order and no translational symmetry,” Phys. Rev. Lett. 53 (20), 1951–1953 (1984).
2. R. Penrose, “Pentaplexity: a class of nonperiodic tilings of the plane,” Eureka 39, 16–22 (1978).
3. P. Kuczera, J. Wolny, and W. Steurer, “Comparative structural study of decagonal quasicrystals in the systems Al–Cu–Me (Me = Co, Rh, Ir),” Acta Cryst. B 68 (6), 578–589 (2012).
4. C. L. Henley, “Sphere packing and local environments in Penrose tiling,” Phys. Rev. B 2 (34), 797–816 (1986).
5. A. L. Mackay, “Crystallography and the Penrose pattern,” Physica A: Stat. Mech. Appl. 114 (1–3), 609–613 (1982).