Architecture of Platonic and Archimedean polyhedral links  

作　　者：QIU WenYuan ZHAI XinDong QIU YuanYuan 

机构地区：[1]Department of Chemistry,State Key Laboratory of Applied Organic Chemistry,Lanzhou University,Lanzhou 730000,China [2]Faculty of Arts and Social Sciences,The National University of Singapore,SG 117570,Singapore

出　　处：《Science China Chemistry》2008年第1期13-18,共6页中国科学（化学英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 20173023 and 90203012) ;Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20020730006)

摘　　要：A new methodology for understanding the construction of polyhedral links has been developed on the basis of the Platonic and Archimedean solids by using our method of the ‘three-cross-curve and dou- ble-twist-line covering’. There are five classes of polyhedral links that can be explored: the tetrahedral and truncated tetrahedral links; the hexahedral and truncated hexahedral links; the dodecahedral and truncated dodecahedral links; the truncated octahedral and icosahedral links. Our results show that the tetrahedral and truncated tetrahedral links have T symmetry; the hexahedral and truncated hexahedral links, as well as the truncated octahedral links, O symmetry; the dodecahedral and truncated dodeca- hedral links, as well as the truncated icosahedral links, I symmetry, respectively. This study provides further insight into the molecular design, as well as theoretical characterization, of the DNA and protein catenanes.A new methodology for understanding the construction of polyhedral links has been developed on the basis of the Platonic and Archimedean solids by using our method of the ‘three-cross-curve and double-twist-line covering’. There are five classes of polyhedral links that can be explored: the tetrahedral and truncated tetrahedral links; the hexahedral and truncated hexahedral links; the dodecahedral and truncated dodecahedral links; the truncated octahedral and icosahedral links. Our results show that the tetrahedral and truncated tetrahedral links have T symmetry; the hexahedral and truncated hexahedral links, as well as the truncated octahedral links, O symmetry; the dodecahedral and truncated dodecahedral links, as well as the truncated icosahedral links, I symmetry, respectively. This study provides further insight into the molecular design, as well as theoretical characterization, of the DNA and protein catenanes.

关 键 词：KNOT theory POLYHEDRON TRUNCATED POLYHEDRON POLYHEDRAL link DNA CATENANE protein CATENANE 

分 类 号：O561[理学—原子与分子物理]