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本文从结晶化学原理及二十面体相出发,提出了八次对称准晶体中可能存在的两种配位多面体形式——三角十六面体及带帽反棱柱。推导了该类准晶体的一维及二维准晶格。运用传统结晶学中定义Bravais晶胞的原则定义了准晶体中五次、十次、八次、十二次对称准晶体的四种二维准晶胞。本文作者认为准晶体实际上是具无公度平移周期的晶体,该类晶体的无公度平移对称,是通过放大或缩小这两种具分数维特征的对称操作来实现的。
Based on the principles of crystallographic chemistry and icosahedral phases, we propose two possible coordination polyhedron forms - trigonal hexahedron and capped antiprism in the eight quasi-symmetry quasicrystals. The quasi-crystal one-dimensional and two-dimensional quasi-crystal lattices are deduced. Using the principle of defining Bravais unit cells in traditional crystallography, four kinds of two-dimensional quasi-crystal units of quasi-crystal five, ten, eight and twelve symmetry are defined. The author thinks quasicrystals are actually crystals with no common degree translational period. The unparalleled translational symmetry of such crystals is achieved by enlarging or reducing the symmetrical operation of these two fractal features.