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用切割投影法研究了二十面体准点阵结构。根据投影操作矩阵导出了二十面体准点阵的整数坐标 ,在此基础上计算出了它的三维阵点坐标 ,并构造出了二十面体准点阵结构的几何模型。由经典的对称理论 ,不同取向的对称轴间存在着组合规律 ,在两个以上方向具有非晶体学对称轴的点群只可能是二十面体型的 2 35或 5 - 3- 2 /m。由此构建的二十面体准点阵结构模型有六个 5 - 次轴 ,十个 3- 次轴和十五个 2次轴 ,具有同正二十面体一样的点对称群 5 - 3- 2 /m。
The icosahedral quasi-lattice structure has been studied by the cutting projection method. Based on the projection operation matrix, the coordinates of icosahedral quasi-lattice are derived. Based on this, the coordinates of its coordinates are calculated and the geometrical model of icosahedral quasi-lattice structure is constructed. According to the classical symmetry theory, there exists a combination of symmetry axes with different orientations. The point group with non-crystallographic symmetry axes in more than two directions may only be icosahedron type 2 35 or 5 - 3 2 / m. The constructed icosahedral quasi - lattice structure model has six 5 - times axis, ten 3 - times axis and 15 times 2 times axis, with the same icosahedral symmetry group 5 - 3 2 / m.