• Generation of aperiodic tilings with fivefold symmetry by the method of intersecting decagons and diffraction from finite size tilings

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    • Keywords


      Tilings; symmetry; nonperiodic; diffraction

    • Abstract


      A method for generating aperiodic tilings with five fold symmetry is discussed here. Basic patterns formed within decagons can be used to fill two dimensional space, by matching such suitable patterns. It appears to be possible to generate perfect tilings without retracing already established coordinates imposing conditions at the initial stages of generating them. Various possible ways to generate tilings, when perfectness is not required, are discussed. The calculated diffraction patterns for some representative finite size tilings are shown. There are subtle differences in the intensities of peaks in the diffraction patterns corresponding to different finite size tilings constructed using intersecting decagons. These effects persist for a larger number of scatterers in weak peaks than in strong peaks. They are unaffected by an introduction of systematic disorder. These effects could be termed as the finite size boundary effects. There are also small shifts in the peak positions owing to the finite size effects. The possibility of formation of large approximate square cells in large tilings is shown.

    • Author Affiliations


      S Baranidharan1 E S R Gopal1 V Sasisekharan1 2

      1. Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
      2. Molecular Biophysics Unit, Indian Institute of Science, Bangalore - 560 012, India
    • Dates

  • Pramana – Journal of Physics | News

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