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Volumn 95, Issue 5-6, 1999, Pages 827-833

Symmetries of quasicrystals

Author keywords

Quasicrystals; diffraction; symmetries; aperiodic tiling; hierarchical quaquaversal

Indexed keywords


EID: 0033245859     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004516030941     Document Type: Article
Times cited : (10)

References (14)
  • 1
    • 33751141500 scopus 로고
    • Metallic phase with long-ranged orientational order and no translational symmetry
    • 1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Metallic phase with long-ranged orientational order and no translational symmetry, Phvs. Rev. Lett. 53:1951-1953 (1984).
    • (1984) Phvs. Rev. Lett. , vol.53 , pp. 1951-1953
    • Shechtman, D.1    Blech, I.2    Gratias, D.3    Cahn, J.W.4
  • 2
    • 0000072605 scopus 로고
    • Quasicrystals: A new class of ordered structures
    • 2. D. Levine and P. J. Steinhardt, Quasicrystals: A new class of ordered structures, Phys. Rev. Lett. 53:2477-2480 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 2477-2480
    • Levine, D.1    Steinhardt, P.J.2
  • 3
    • 33646665384 scopus 로고
    • Crystallography and the Penrose pattern
    • 3. A. Mackay, Crystallography and the Penrose pattern, Physica A 114:609-613 (1982).
    • (1982) Physica A , vol.114 , pp. 609-613
    • Mackay, A.1
  • 4
  • 5
    • 0009208077 scopus 로고    scopus 로고
    • Stud. Math. Lib., Amer. Math. Soc., Providence
    • 5. C. Radin, Miles of Tiles, Stud. Math. Lib., Vol. 1 (Amer. Math. Soc., Providence, 1999).
    • (1999) Miles of Tiles , vol.1
    • Radin, C.1
  • 6
    • 0542362070 scopus 로고
    • Algebraic theory of Penrose's non-periodic tilings of the plane, I
    • 6. N. G. de Bruijn, Algebraic theory of Penrose's non-periodic tilings of the plane, I, Kon. Nederl. Akad. Wetensch. Proc. Ser. A 84:39-66 (1981).
    • (1981) Kon. Nederl. Akad. Wetensch. Proc. Ser. A , vol.84 , pp. 39-66
    • De Bruijn, N.G.1
  • 7
    • 0002644201 scopus 로고
    • Local rules for multi-dimensional quasicrystals
    • 7. T. Q. T. Le and S. Piunikhin, Local rules for multi-dimensional quasicrystals, Diff. Geom. Appl. 5:13-31 (1995).
    • (1995) Diff. Geom. Appl. , vol.5 , pp. 13-31
    • Le, T.Q.T.1    Piunikhin, S.2
  • 8
    • 0000927643 scopus 로고
    • The pinwheel tilings of the plane
    • 8. C. Radin, The pinwheel tilings of the plane, Ann. Math. 139:661-702 (1994).
    • (1994) Ann. Math. , vol.139 , pp. 661-702
    • Radin, C.1
  • 9
    • 0032398435 scopus 로고    scopus 로고
    • Quaquaversal tilings and rotations
    • 9. J. H. Conway and C. Radin, Quaquaversal tilings and rotations, Inventiones Math. 132:179-188 (1998).
    • (1998) Inventiones Math. , vol.132 , pp. 179-188
    • Conway, J.H.1    Radin, C.2
  • 10
    • 0000162064 scopus 로고
    • Extraordinary nonperiodic tiling that enriches the theory of tiles
    • December
    • 10. M. Gardner, Extraordinary nonperiodic tiling that enriches the theory of tiles, Sci. Am., 110-119 (December 1977).
    • (1977) Sci. Am. , pp. 110-119
    • Gardner, M.1
  • 11
    • 0032399384 scopus 로고    scopus 로고
    • Matching rules and substitution tilings
    • 11. C. Goodman-Strauss, Matching rules and substitution tilings, Ann. Math. 147:181-223 (1998).
    • (1998) Ann. Math. , vol.147 , pp. 181-223
    • Goodman-Strauss, C.1
  • 12
    • 0000863912 scopus 로고
    • Space tilings and substitutions
    • 12. C. Radin, Space tilings and substitutions, Geometriae Dedicata 55:257-264 (1995).
    • (1995) Geometriae Dedicata , vol.55 , pp. 257-264
    • Radin, C.1
  • 13
    • 21144472697 scopus 로고
    • Spectral theory and x-ray diffraction
    • 13. S. Dworkin, Spectral theory and x-ray diffraction, J. Math. Phys. 34:2965-2967 (1993).
    • (1993) J. Math. Phys. , vol.34 , pp. 2965-2967
    • Dworkin, S.1
  • 14
    • 84967735796 scopus 로고
    • Symmetry of tilings of the plane
    • 14. C. Radin, Symmetry of tilings of the plane, Bull. Amer. Math. Soc. 29:213-217 (1993).
    • (1993) Bull. Amer. Math. Soc. , vol.29 , pp. 213-217
    • Radin, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.