Delone clusters, covering and linkage in the quasiperiodic triangle tiling

Journal of Physics A: Mathematical and General

Volumn 33, Issue 44, 2000, Pages 7885-7901

  Kramer, Peter ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034634139     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/44/304     Document Type: Article

References (12)

1. Baake M, Kramer P, Schlottmann M and Zeidler D 1990 Planar patterns with fivefold symmetry as sections of periodic structures in 4-space Int. J. Mod. Phys. B 4 2217-68
2. Grünbaum F and Shepard G C 1987 Tilings and Patterns (New York: Freeman)
3. Conway J H and Sloane N J A 1988 Sphere Packings, Lattices and Groups (New York: Springer)
4. Gummelt P 1996 Penrose tilings as coverings of congruent decagons Geometriae Dedicata 62 1-17
5. Humphreys J E 1990 Reflection Groups and Coxeter Groups (Cambridge: Cambridge University Press)
6. Kramer P and Schlottmann M 1989 Dualization of Voronoi domains and Klotz construction: a general method for the generation of proper space filling J. Phys. A: Math. Gen. 22 L1097-102
7. Kramer P, Quandt A, Schlottmann M and Schneider T 1995 Atomic clusters and electrons in the Burkov model of AlCuCo Phys. Rev. B 51 8815-29
8. Kramer P 1999 Quasicrystals: atomic coverings and windows are dual projects J. Phys. A: Math. Gen. 32 5781-93
9. Kramer P 1998 The decagon covering project Proc. Mathematical Aspects of Quasicrystals (Paris, September 1998) ed J-P Gazeau and L L Verger-Gaugry
10. Kramer P 2000 Delone clusters and coverings for icosahedral quasicrystals J. Phys. A: Math. Gen. submitted
11. Sommerville D M Y 1958 An Introduction to the Geometry of N Dimensions (New York: Dover)
12. Jeong H-C and Steinhardt P J 1997 Constructing Penrose-like tilings from a single prototile and the implications for quasicrystals Phys. Rev. B 55 3520-32