Fractally shaped acceptance domains of quasiperiodic square-triangle tilings with dedecagonal symmetry

M. Baake, R. Klitzing and M. Schlottmann

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 554-558

Abstract: We generate a quasiperiodic, dodecagonally symmetric tiling of the plane by squares and equilateral triangles embedded in a higher-dimensional periodic structure. Starting from a 4D lattice frequently used for the embedding of dodecagonal structures, we iteratively construct an acceptance domain (AD) for a quasiperiodic point set which proves to be the vertex set of a square-triangle tiling. It turns out that our procedure leads to fractally bounded ADs but leaves enough freedom to generate several different local isomorphism classes.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:554-558

DOI: 10.1016/0378-4371(92)90582-B

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