Vertex frequencies of the hierarchical dodecagonal tiling

B. Rubinstein, S. I. Ben-Abraham

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


The frequency of occurrence of a configuration, such as a vertex, is an important characteristic of a tiling. Conventionally one deduces this frequency from the volume of the corresponding acceptance domain (alias window) in perpendicular space. The method fails in the case of the Stampfli tiling which has a fractal window. We have overcome this difficulty by using the inflation symmetry of the square-triangle tiling.

Original languageEnglish
Pages (from-to)417-419
Number of pages3
Issue number1-4
StatePublished - 1 Jan 2001
EventAPERIODIC Conference - Nijmegen, Netherlands
Duration: 4 Jul 20008 Jul 2000

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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