Minimal distances in quasicrystals

Journal of Physics A: Mathematical and General

Volumn 31, Issue 6, 1998, Pages 1539-1552

  Masakova Z ^a   Patera, J ^b   Pelantova E ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032512526     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/6/006     Document Type: Article

References (16)

1. Berman S and Moody R V 1994 The algebraic theory of quasicrystals with five fold symmetry J. Phys. A: Math. Gen. 27 566-84
2. Chen L, Moody R V and Patera J 1997 Noncrystallographic root systems Quasicrystals and Discrete Geometry (Fields Institute Monograph Series) vol 10, ed J Patera (Providence, RI: American Mathematical Society)
3. Gazeau J P 1995 Quasicrystals and their symmetries Symmetries and Structural Properties of Condensed Matter (Zajaczkowo 1994) ed T Lulek, W Florek and S Walcerz (Singapore: World Scientific)
4. Gazeau J P and Patera J 1996 Tau-wavelets of Haar J. Phys. A: Math. Gen. 29 4549-59
5. Janot C 1994 Quasicrystals: A Primer 2nd edn (Oxford: Oxford University Press)
6. Masáková Z, Patera J and Pelantová E 1998 Inflation centers of the cut and project quasicrystals J. Phys. A: Math. Gen. 31 1443-53
7. Masáková Z, Patera J and Pelantová E 1998 Selfsimilar Delone sets and quasicrystals J. Phys. A: Math. Gen. submitted
8. Meyer Y 1995 Quasicrystals, Diophantine approximations and algebraic numbers Proc. Les Houches, Beyond Quasicrystals, (Les Editions de Physique March 1994) ed F Axel and D Gratias (Berlin: Springer) pp 3-16
9. Minkowski H 1953 Geometrie der Zahlen (New York: Chelsea)
10. Moody R V 1997 Meyer sets and their duals Mathematics of Aperiodic Order (Proc. NATO ASI, Waterloo, 1995) ed R V Moody (Dordrecht: Kluwer)
11. Moody R V and Patera J 1994 Colourings of quasicrystals Can. J. Phys. 72 442-52
12. Moody R V and Patera J 1998 Densities, minimal distances, and coverings of quasicrystals Commun. Math. Phys. accepted for publication
13. Moody R V and Patera J 1993 Quasicrystals and icosians J. Phys. A: Math. Gen. 26 2829-53
14. 8 family of quasicrystals 8 p Noncompact Lie groups and Some of Their Applications (Proc. NATO ASI, San Antonio) vol 429, ed E A Tanner and R Wilson, NATO ASI Series C pp 341-8
15. Patera J 1995 The pentacrystals Proc. Les Houches, Beyond Quasicrystals, Les Editions de Physique (March 1994) ed F Axel and D Gratias (Berlin: Springer) pp 17-31
16. Patera J 1997 Noncrystallographic root systems and quasicrystals Mathematics of Aperiodic Order (Proc. NATO ASI, Waterloo, 1995) ed R V Moody (Dordrecht: Kluwer)