Three-Dimensional Tiling Patterns Generated by Invariant Maps
Jian Ma · Journal of Shantou University · 2009
Three-dimensional tiling patterns with the symmetries of the groups P6 and P4 are generated by constructing invariant maps from the dynamical system's point of view.The derived patterns own the symmetries of the wallpaper groups p6m and p4m on the cross section planes parallel to the xy-plane respectively.The proposed method improves the complexity in constructing the equivariant maps to generate three-dimensional tiling patterns.The method provides a simple approach for devising exotic symmetric tiling patterns in three-dimensional space.