One Automatic Generation Method for 3D Tiling Patterns with the Symmetry of the Extended Picard Group
LI Hui-liang · 2008
3D tiling patterns with the symmetry of the extended Picard group are automatically generated by means of dynamic systems equivalent to the extended Picard group.The derived patterns have the symmetry of the wallpaper group pmm on the cross section plane parallel to the xy-plane,and own the symmetry of the extended modular group on the cross section plane containing the x-axis.The numerical experiments show that the generated patterns are artistic.The method provides a novel approach to devise exotic symmetric tiling patterns from a dynamic system’s point of view.