中文摘要：

对称是关于由局部构筑整体时必须遵循的基本法则。事物的美感是由局部与整体之间的和谐和协调来体现的。对称规律在晶体学中得到了淋漓尽致的发挥。在传统晶体学中空间群理论对于现代晶体学中晶体结构的测定仍有指导意义。讨论了准晶体及无公度相的对称特点。探讨了将晶体学中的平面群理论运用于艺术领域中平面构成设计的可能性。

英文摘要：

The symmetry is concerning basic rule, which must be followed when the integer was constructed by parts. The pleasant impression of the thing was materialized by the consonance between the integer and the parts. The symmetry rules were exerted perfectly in crystallography. The space group theories of traditional crystallography still have leading meaning for crystal structure determination in current crystallography. The symmetry characters of quasiPeriodic crystals and incommensurable phases were discussed. The possibility was suggested that the plane constitute in art was designed using the plane group theory in crystallography.