Abstract
A dodecagonal quasiperiodic tiling is generated by a substitution rule (SR) for four kinds of tiles, namely, a triangle, a square, a trigonal hexagon and a dodecagon. The scaling factor of the SR is equal to . The same tiling (exactly, quasilattice) is obtained with the projection method from a four-dimensional dodecagonal lattice and the relevant window has a fractal boundary. A set equation for the window is presented. It is emphasized that investigating quasiperiodic tilings of this type is a less explored but rich field in the crystallography of quasicrystals.
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