References
Marjorie Senechal and Jean E. Taylor, “Quasicrystals: the View from Les Houches,” Mathematical Intelligencer 12 (1990), no. 2, 54–64.
International Union of Crystallography, Commission on Aperiodic Crystals, http://www.iucr.org/iucr/commissions/aperiodic-crystals/.
Hiroyuki Takakura, Cesar Pay Gómez, Akiji Yamamoto, Marc De Boissieu, and An Pang Tsai, “Atomic structure of the binaryicosahedral Yb-Cd quasicrystal,” Nature Materials 6 (2007), 58–63.
Denis Gratias, Frédéric Puyraimond, Marianne Quiquandon, and André Katz, “Atomic clusters in icosahedral F-type quasicrystals,” Phys. Rev. B 63, 024202-1–024202-16 (2000).
Zbigniew M. Stadnik, Physical Properties of Quasicrystals, Berlin: Springer, 1999
Marjorie Senechal, Quasicrystals and Geometry, Cambridge: Cambridge University Press, 1995; corrected paperback edition 1996; reprinted, and ebook, 2007.
Marjorie Senechal, “What is \(\ldots\) a quasicrystal?” Notices Amer. Math. Soc. 53 (2006), no. 8, 886–887. See also http://www.ams.org/notices/200608/whatis-senechal.pdf.
Michael Baake and Uwe Grimm, Theory of Aperiodic Order: A Mathematical Invitation, Cambridge: Cambridge University Press (forthcoming, Sept 2013).
Michael Engel, Amir Haji-Akbari, and Sharon Glotzer, “A dense quasicrystal phase of hard tetrahedra,” Acta Cryst. (2011) A67, C144.
F.C. Frank, “Supercooling of liquids,” Proc. Roy. Soc. A 215, no. 1120 (1952), 43–46.
Charles Day, “Experiments Vindicate a 50 Year Old Explanation of How Liquid Metals Resist Solidification,” Physics Today, 56 (7) (2003), 24.
Kenneth Kelton, “The Influence of Icosahedral Ordering in Metallic Liquids,” http://www.youtube.com/watch?v=5m4cyP0YTk8/.
Belle Dumé, “Glass arrested on the road to crystallization,” http://www.Physicsworld.com, Jun 26, 2008.
Aaron Keys and Sharon Glotzer, “How do Quasicrystals Grow?” Phys. Rev. Lett. 99, 235503 (2007).
Vladislav A. Blatov, Gregory D. Ilyushin, and Davide M. Proserpio, “New Types of Multishell Nanoclusters with a Frank-Kasper Polyhedral Core in Intermetallics,” Inorganic Chemistry 50 (2011), 5714–5724.
J. D. Bernal, “The Structure of Liquids,” Proc. Roy. Soc. A 280 (1964), 299–322.
J. M. Mortejano-Carrizales et al., “Crystallography and Shape of Nanoparticles and Clusters,” in Hari Singh Nalwa (ed.), Enclyclopedia of Nanoscience and Nanotechnology, Vol. 2, Valencia, California: American Scientific Publishers, 2004, p. 238.
J. C. Lagarias (ed.), The Kepler Conjecture: The Hales-Ferguson Proof, New York: Springer, 2011.
http://www.nobelprize.org/nobel_pizes/chemistry/laureates/2011/press.html.
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, Number 20, 12 November 1984, 1951–1953.
A. Mackay, “A dense non-crystallographic packing of equal spheres,” Acta Crystallographica 15 (1962), 916–918.
de Bruijn, N. G., “Algebraic theory of Penrose’s non-periodic tilings of the plane, I, II,” Indagationes Mathematicae 43 (1) (1981), 39–66.
Yanting Wang, S. Teitel, and Christoph Dellago, “Melting of Icosahedral Gold Nanoclusters from Molecular Dynamics Simulations,” J. Chem. Phys. 122 (2005), 214722–214738.
C. Radin, “A Revolutional Material,” Notices Amer. Math. Soc. 60, no. 3 (March 2013), 310–315.
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Senechal, M., Taylor, J.E. Quasicrystals: The View from Stockholm. Math Intelligencer 35, 1–9 (2013). https://doi.org/10.1007/s00283-013-9381-9
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DOI: https://doi.org/10.1007/s00283-013-9381-9