Christoph Richard 1999 J. Phys. A: Math. Gen. 32 8823 doi:10.1088/0305-4470/32/50/304
Christoph Richard
Show affiliationsWe apply a framework for the description of random tilings without height representation, which was proposed recently, to the special case of quasicrystalline random tilings. Two important examples are discussed, thereby demonstrating the consistency of this alternative description with the conventional one. We also clarify the latter by deriving a group theoretic criterion for the validity of the first random tiling hypothesis.
Issue 50 (17 December 1999)
Received 20 July 1999
Christoph Richard 1999 J. Phys. A: Math. Gen. 32 8823
V Pravda et al 2002 Class. Quantum Grav. 19 6213
Bryan Kelleher 2004 Class. Quantum Grav. 21 2623
C Richard et al 1998 J. Phys. A: Math. Gen. 31 6385
Mikołaj Korzyński 2007 Class. Quantum Grav. 24 5935
S Patnaik et al 2001 Supercond. Sci. Technol. 14 315
Jani Lukkarinen 1999 J. Phys. A: Math. Gen. 32 287
J M Stewart 1990 Class. Quantum Grav. 7 1169
Alberto C de la Torre 2008 Eur. J. Phys. 29 567
D K Gramotnev and T A Nieminen 1999 J. Opt. A: Pure Appl. Opt. 1 635