Affine Extension of Noncrystallographic Coxeter Groups and Quasicrystals
نویسنده
چکیده
Unique affine extensions H 2 , H 3 and H 4 are determined for the noncrystallographic Coxeter groups H2, H3 and H4. They are used for the construction of new mathematical models for quasicrystal fragments with 10-fold symmetry. The case of H 2 corresponding to planar point sets is discussed in detail. In contrast to the cutand-project scheme we obtain by construction finite point sets, which grow with a model specific growth parameter.
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