Physical symmetry of quasicrystals

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Abstract
The possibility of a physical rotational symmetry for a quasicrystal is discussed and the minimal tensorial rank which is necessary to detect such a symmetry is shown to be simply related to the order of a symmetry rotation. For icosahedral symmetry, in particular, the minimal rank is 5 which means that "ordinary" linear (i.e. first order) behaviour (in the termal, electromagnetic, déformation quantities) is expected to be isotropic as in a glass. Anisotropy, as in a crystal, is accordingly possible only in the nonlinear domain

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