References
- Shechtman , D , Blech , I Gratias , D . 1984 . Phys. Rev. Lett. , 53 : 1951
- Levine , D and Steinhardt , P . 1984 . Phys. Rev. Lett. , 53 : 2477
- Bohr , H . 1924 . Acta Math. , 45 : 29
- Bohr , H . 1925 . Acta Math. , 46 : 101
- Bohr , H . 1926 . Acta Math. , 47 : 237
- Besicovic , AS . 1932 . Almost Periodic Functions , Cambridge : Cambridge University Press .
- Senechal , M . 2006 . Notices AMS , 53 : 886
- International Union of Crystallography . 1992 . Acta Cryst. , A48 : 922
- Mermin , D . 1992 . Rev. Mod. Phys. , 64 : 3
- Bernuau , G and Duneau , M . 2000 . “ Fourier analysis of deformed model sets ” . In Directions in Mathematical Quasicrystals , Edited by: Baake , M and Moody , RV . 43 CRM Monographs Series . American Mathematical Society
- Yamamoto , A , Takakura , H and Tsai , A-P . 2003 . Phys. Rev. B , 68 : 094201
- Quiquandon , M and Gratias , D . 2006 . Phys. Rev. B , 74 : 214205
- Shechtman , D and Blech , IA . 1985 . Metall. Trans. A , 16A : 1005
- Shechtman , D , Blech , I Gratias , D . 1984 . Phys. Rev. Lett. , 53 : 1951
- Duneau , M and Katz , A . 1985 . Phys. Rev. Lett. , 54 : 2688
- Elser , V . 1985 . Phys. Rev. B , 32 : 4892
- Elser , V . 1986 . Acta Cryst. A , 42 : 36
- Kalugin , PA , Yu Kitaev , A and Levitov , LC . 1985 . Pis'ma Zh. Eksp. Teor. Fiz. , 41 : 119 (JETP Lett. (1985) 41 119)
- Bak , P . 1985 . Phys. Rev. Lett. , 54 : 1517
- Bak , P . 1985 . Phys. Rev. B , 32 : 5764
- Janner , A and Janssen , T . 1977 . Phys. Rev. B , 643 : 643
- de Wolff , PM . 1977 . Acta Cryst. , 33 : 609
- Gratias , D , Cahn , J-W and Mozer , B . 1988 . Phys. Rev. B , 38 : 1643
- Pauling , L . 1986 . Nature , 317 : 512
- Pauling , L . 1987 . Phys. Rev. Lett. , 58 : 365
- Cahn , J-W , Shechtman , D and Gratias , D . 1986 . Nature , 319 : 102
- Stephens , PW and Goldman , AI . 1986 . Phys. Rev. Lett. , 56 : 1168
- Qiu , S-Y and Jaric , MV . 1990 . “ Quasicrystal structure determination—Al-Li-Cu ” . In Quasicrystals , Edited by: Jaric , M.V. and Lundqvist , S. Singapore : World Scientific .
- Tang , L-H and Jaric , MV . 1990 . “ Phason elasticity and surface roughening ” . In Proceedings of the Anniversary Adriatico Research Conference on Quasicrystals , Edited by: Jaric , MV and Lundqvist , S . 319 Singapore : World Scientific .
- Widom , M . 1990 . “ Entropically stabilized quasicrystals ” . In Proceedings of the Anniversary Adriatico Research Conference on Quasicrystals , Edited by: Jaric , MV and Lundqvist , S . 337 Singapore : World Scientific .
- Henley , CL . 1991 . “ Random tiling models ” . In Quasicrystals: The State of the Art , Edited by: Steinhardt , PJ and Divincenzo , DP . 429 Singapore : World Scientific .
- Henley , CL . 2001 . Z. Kristallogr , 216 : 1
- Gummelt , P . 1995 . “ Construction of penrose tilings by a single aperiodic protoset ” . In Proceedings of the 5th International Conference on Quasicrystals , Edited by: Janot , C. and Mosseri , R. 84 Singapore : World Scientific .
- Gummelt , P . 1996 . Geometriae Dedicata , 62 : 1
- Gähler , F . 2000 . “ Cluster coverings: a powerful ordering principle for quasicrystals ” . In Quasicrystals, Current Topics , Edited by: Belin-Ferr , E , Berger , C , Quiquandon , M and Sadoc , A . 118 Singapore : World Scientific .
- Gähler , F , Gummelt , P and Ben-Abraham , SI . 2003 . “ Generation of quasiperiodic order by maximal cluster covering ” . In Coverings of Discrete Quasiperiodic Sets, Theory and Applications to Quasicrystals , Edited by: Kramer , P and Papadopolos , Z . 63 Berlin : Springer .
- Kramer , P . 2003 . Covering of discrete quasiperiodic sets: concepts and theory , Edited by: Kramer , P and Papadopolos , Z . 1 and 97 Springer, Berlin : Coverings of Descrete Quasiperiodic Sets .
- Steurer , W . 2004 . Z. Kristallogr , 391 : 391
- Bak , P . 1986 . Phys. Rev. Lett. , 56 : 861
- Elser , V . 1985 . Phys. Rev. B , 82 : 4892
- Cahn , JW , Shechtman , D and Gratias , D . 1986 . J. Mater. Res. , 1 : 13
- Bienenstock , A and Ewald , PP . 1962 . Acta Cryst. , 15 : 1253
- Frenkel , D , Henley , CL and Siggia , ED . 1986 . Phys. Rev. B , 34 : 3649
- Katz , A and Gratias , D . 1994 . “ Tilings and quasicrystals ” . In Lectures on Quasicrystals , Edited by: Hippert , F and Gratias , D . 187 Les Ulis : Les Editions de Physique .
- Katz , A . 1995 . “ Matching rules ” . In Beyond Quasicrystals , Edited by: Axel , F and Gratias , D . 141 Berlin : Les Editions de Physique, Les Ulis; and Springer Verlag .
- Gratias , D , Katz , A and Quiquandon , M . 1995 . J. Phys.: Condens. Matter , 7 : 9101
- Cornier-Quiquandon , M . 1991 . Phys. Rev. B , 44 : 2071
- Boudard , M , de Boissieu , M Janot , C . 1992 . J. Phys.: Condens. Matter , 4 : 10149
- Trambly de Laissardiére , G , Nguyen-Manh , D and Mayou , D . 2005 . Prog. Mater. Sci. , 50 : 679
- Préjean , J-J , Berger , C Sulpice , A . 2002 . Phys. Rev. B , 65 : 140203-1
- Hippert , F , Audier , M Préjean , J.-. 2003 . Phys. Rev. B , 68 : 134402-1
- Hippert , F , Audier , M Préjean , J.-. 2004 . J. Non-Cryst. Solids , 403 : 334
- Préjean , J-J , Lhotel , E Sulpice , A . 2006 . Phys. Rev. B , 73 : 214205
- Progress in Surface Science . 2004 . Special Issue Quasicrystals , 75 : 3
- Katz , A and Duneau , M . 1986 . J. Physique , 47 : 181
- Gierer , M , Van Hove , MA Goldman , AI . 1998 . Phys. Rev. B , 57 : 7628
- Barbier , L , Le Floch , D Calvayrac , Y . 2002 . Phys. Rev. Lett. , 88 : 85506
- Papadopolos , Z , Kasner , G Ledieu , J . 2002 . Phys. Rev. B , 66 : 184207
- Papadopolos , Z , Pleasants , P Kasner , G . 2004 . Phys. Rev. B , 69 : 224201
- Quiquandon , M and Gratias , D . 2008 . Phil. Mag. , 88 : 1941