TY - JOUR
T1 - 3D Braided Geometry Structures Based on Space Group
AU - Ma, Wen Suo
AU - Yang, Bin Qian
AU - Ren, Xiao Zhong
JF - Advanced Materials Research
VL - 152-153
SP - 1156
EP - 1161
SN - 1662-8985
PY - 2011
PB - Trans Tech Publications
DO - 10.4028/www.scientific.net/AMR.152-153.1156
UR - http://www.scientific.net/AMR.152-153.1156
KW - Braided Geometry Structure
KW - Braided Point Group
KW - Braided Space Group
KW - Group Theory Analysis
AB - 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.
ER -