Cover story: Fibonacci, Penrose, Kepler

Materials Science and Engineering A

Volumn 294-296, Issue , 2000, Pages 401-404

  Kramer, Peter ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL ATOMIC STRUCTURE; CRYSTAL LATTICES;

DELONE CLUSTERS; VORONOI CLUSTERS;

QUASICRYSTALS;

EID: 0034497447     PISSN: 09215093     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0921-5093(00)01137-0     Document Type: Article

References (11)

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2. J.H. Conway, N.J.A. Sloane, Sphere Packings, Lattices and Groups, Springer, New York 1988, pp. 31-36.
3. P. Gummelt, Penrose tilings as coverings of congruent decagons, Geometriae Dedicata 62 (1996) 1-17.
4. J. Kepler, in: M. Caspar, F. Hammer (Eds.), Strena seu de Nive Sexangula (1611), Ges. Werke Bd. IV, Munich, 1941, pp. 259-280.
5. P. Kramer, Z. Papadopolos, Symmetry concepts for quasicrystals and noncommutative crystallography, in: R.V. Moody (Ed.), Proceedings of the ASI Aperiodic Long Range Order, Waterloo, 1995, Kluwer, New York, 1995, pp. 307-330.
6. P. Kramer, M. Schlottmann, Dualization of Voronoi domains and klotz construction: a general method for the generation of proper space filling, J. Phys. A 22 (1989) L1097-L1102.
7. P. Kramer, Z. Papadopolos, D. Zeidler, Concepts of symmetry in quasicrystals, in: A. Frank, T.H. Seligman, K.B. Wolf (Eds.), Proceedings of the AIP Conference, Vol. 266, 1992, pp. 179-200.
8. P. Kramer, Quasicrystals: atomic coverings and windows are dual projects, J. Phys. A 32 (1999) 5781-5793.
9. P. Kramer, The decagon covering project, in: J.P. Gazeau, L.L. Verger-Gaugry (Eds.), Proceedings of the Mathematical Aspects of Quasicrystals, Paris, September 1998.
10. P. Kramer, J. Phys. A (2000) in press.
11. H.-C. Jeong, P.J. Steinhardt, Constructing Penrose-like tilings from a single prototile and the implications for quasicrystals, Phys. Rev. B 55 (1997) 3520-3532.