Two-dimensional quasiperiodic lattices with 12-fold rotational symmetry are constructed by projecting a four-dimensional hyperhexagonal lattice onto a two-dimensional subspace. The projection method in the present case is greatly simplified by representing the four-dimensional lattice as a complex two-dimensional lattice. By choosing windows with different forms one obtains several quasiperiodic tilings, which have a self-similarity. One of the tilings is quite similar to the pattern of the dodecagonal quasicrystal of a NiCr alloy.
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Niizeki et al. (1987) studied this question.
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