A construction of inflation rules based on n-fold symmetry

Discrete and Computational Geometry

Volumn 15, Issue 2, 1996, Pages 221-236

  Nischke, K P ^a   Danzer, L ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030526555     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02717732     Document Type: Article

References (9)

1. E. Bombieri and J. E. Taylor: Quasicrystals, tilings and algebraic number theory, Contemp. Math. 64 (1987).
2. S. I. Borewicz, I. R. Šafarevic: Zahlentheorie, Birkhäuser-Verlag, Basel, 1966.
3. L. C. Washington: Introduction to Cyclotomic Fields, Springer-Verlag, New York, 1982.
4. B. Gruenbaum and G. C. Shephard: Tilings and Patterns, Freeman, New York, 1987.
5. E. J. W. Whittaker and R. M. Whittaker: Some generalized Penrose patterns from projections of n-dimensional lattices, Acta Cryst. Sect. A 44 (1988), 105-112.
6. M. Baake, P. Kramer, M. Schlottmann, and D. Zeidler: The Triangle Pattern - a New Quasiperiodic Tiling with Fivefold Symmetry, Preprint TPT-QC-89-08-1 (August 22, 1989).
7. M. Baake, P. Kramer, M. Schlottmann, and D. Zeidler: Planar patterns with fivefold symmetry as sections of periodic structures in 4-space, Internat. J. Mod. Phys. B, 4 (1990), 2217-2268.
8. R. V. Moody and J. Patera: Quasicrystals and Icosians, J. Phys. A, 26 (1993), 2829-2853.
9. E. A. Robinson, Jr.: The Dynamical Theory of Tilings and Quasicrystallography, Preprint, July 1993.