Colour symmetry of 25 colours in quasiperiodic patterns

被引:6
作者
Lueck, R.
机构
[1] D-70567 Stuttgart
关键词
quasicrystals; colour symmetry; superstructure; coincidence site lattice;
D O I
10.1080/14786430802056077
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Coloured periodic and quasiperiodic patterns with 25 colours and colour symmetry are described for four-, six-, eight-, ten- and twelvefold symmetries. Eightfold, twelvefold and some fourfold patterns are related to coincidence site lattices (CSLs). The procedures of delineation of coloured patterns with 25 colours must consider the property of a square number. Procedures for tenfold patterns need special consideration and allow the description of superstructures.
引用
收藏
页码:2049 / 2058
页数:10
相关论文
共 52 条
  • [1] Multiple coincidences in dimensions d≤3
    Baake, M.
    Zeiner, P.
    [J]. PHILOSOPHICAL MAGAZINE, 2007, 87 (18-21) : 2869 - 2876
  • [2] Baake M, 1997, NATO ADV SCI I C-MAT, V489, P9
  • [3] ALGEBRAIC-SOLUTION OF THE COINCIDENCE PROBLEM IN 2-DIMENSIONS AND 3-DIMENSIONS
    BAAKE, M
    PLEASANTS, PAB
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1995, 50 (08): : 711 - 717
  • [4] Combinatorial aspects of colour symmetries
    Baake, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (08): : 2687 - 2698
  • [5] Colourings of planar quasicrystals
    Baake, M
    Grimm, U
    Scheffer, M
    [J]. JOURNAL OF ALLOYS AND COMPOUNDS, 2002, 342 (1-2) : 195 - 197
  • [6] Baake M., 1990, Modern Physics Letters B, V4, P249, DOI 10.1142/S0217984990000313
  • [7] BAAKE M, 1994, APERIODIC 94, P25
  • [8] BAAKE M, 1990, QUASICRYSTALS, P120
  • [9] BAAKE M, 1994, INT J MOD PHYS B, V8, P3479
  • [10] BAAKE M, 2002, SPEKTRUM WISSENSCHAF, V64