Use of origami skill and symmetry-breaking analysis of hierarchy periodic structures with visualization

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This work has applied to the verification of the parallel computing and resolution of nonlinear mechanics for the various structures with periodic symmetry through we suppose bifurcation point for a folding structure based on the multi-folding and multi-bifurcation theory with the critical behavior from micro-materials to macro natures widely. I have obtained the mathematical law to decompose to eigen-orthogonal spaces which are higher and super-parallelized computing using the suitable sources of group theory for the branching models in FEM. It is successful to get several results for the models with high order symmetry with multiple degrees-of-freedom also and it has been submitting to computing mechanics.