A quasiperiodic pattern (or quasicrystal) is constructed in real four-dimensional Euclidean space, having the non-crystallographic reflection group (3, 3, 5) of order 14 400 as its point group. It is obtained as a projection of the eight-dimensional lattice E 8 , and has as a cross section a three-dimensional quasicrystal with icosahedral symmetry.
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Elser et al. (1987) studied this question.
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