On the Classification of Local Disorder in Globally Regular Spatial Patterns

  • Andreas W. M. Dress
Part of the Springer Series in Synergetics book series (SSSYN, volume 29)


It is shown in terms of simple examples how local perturbations of a globally regular spatial pattern can be classified by associating in a canonical way to each local perturbation an element of the symmetry group of the unperturbed pattern. Various applications towards the existence and compatibility of various combinations of local irregularities are discussed.


Euclidean Plane Opposite Edge Local Perturbation Oriented Edge Hexagonal Pattern 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Andreas W. M. Dress
    • 1
  1. 1.Fakultät für MathematikUniversität BielefeldBielefeld 1Fed. Rep. of Germany

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