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arxiv: cond-mat/0006062 · v1 · pith:ZOOHCBVBnew · submitted 2000-06-05 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech· math-ph· math.MG· math.MP

Root lattices and quasicrystals

classification ❄️ cond-mat.dis-nn cond-mat.stat-mechmath-phmath.MGmath.MP
keywords latticesrootconstructioncoveredembeddingmaximalmightminimal
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It is shown how root lattices and their reciprocals might serve as the right pool for the construction of quasicrystalline structure models. All non-periodic symmetries observed so far are covered in minimal embedding with maximal symmetry.

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