3D Braided Geometry Structures Based on Space Group
3D braided group theory is dissertated. The analysis procedure is described from the existing braided geometry structure to the braided space group; 3D braided geometrical structures are finally described by means of group theory. Some of novel 3D braided structures are deduced from the braided space groups. By describing the 3D braided materials with braided space point and braided space groups, the braided space groups are not always the same as symmetry groups of crystallographic because novel lattices can be produced and the reflection operation cannot exist in braided space point groups. Braided point and space groups are theoretical basis for deriving the novel braided geometry structure.
Zhengyi Jiang, Jingtao Han and Xianghua Liu
W. S. Ma et al., "3D Braided Geometry Structures Based on Space Group", Advanced Materials Research, Vols. 152-153, pp. 1156-1161, 2011