Dynamical Generation of Quasicrystals

Letters in Mathematical Physics

Volumn 36, Issue 3, 1996, Pages 291-300

  Moody, R V ^a   Patera, J ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Ideal local configuration; Meyer's theory of harmonious sets; Quasicrystals

Indexed keywords

EID: 0040304042     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00943281     Document Type: Article

References (12)

1. Janot, C.: Quasicrystals: A Primer, Oxford Univ. Press, New York, 1992.
2. Moody R. V.: Meyer sets and finite generation of quasicrystals, in Symmetry in Science VIII, Plenum, New York, 1995.
3. Meyer, Y: Nombres de Pisot, nombres de Salem et analyse harmonique, Lecture Notes in Math. 117, Springer, New York, 1970.
4. Meyer, Y.: Algebraic Numbers and Harmonic Analysis, North-Holland, New York, 1972.
5. Champagne, B., Kjiri, M., Patera, J. and Sharp, R. T.: Description of reflection generated polytopes using decorated Coxeter diagrams, Canad. J. Phys. 73 (1995) 566-584.
6. Chen, L., Moody R. V. and Patera, J.: Non-crystallographic root systems, to appear.
7. Humphrey, J. E.: Reflection Groups and Coxeter Groups, Cambridge Univ. Press, 1990.
8. Coxeter, H. M. S.: Regular Polytopes, Dover, New York, 1973.
9. Moody R. V. and Patera, J.: Quasicrystals and icosians, J. Phys. A: Math. Gen. 26 (1993), 2829-2853.
10. Moody R. V. and Patera, J.: Colouring of quasicrystals, Canad. J. Phys. 72 (1994), 442-452.
11. Papadopolos, Z., Honecker, C., Kramer, P., and Moody, R. V.: Generation of 3D icosahedral quasicrystals by matching phases in physical spaces, to appear.
12. Berman S. and Moody, R. V: The algebraic theory of quasicrystals with five-fold symmetry, J. Phys. A: Math. Gen. 27 (1994), 115-130.