Theoretical modeling reveals mutual stabilization between 3D broken structures and 2D dihedral symmetry, highlighting a minimal generative geometric hierarchy.
This work develops a unified framework in which three‑dimensional broken structures are modeled as G‑structure reductions, inducing a dihedral symmetry D3 on embedded surfaces. Using group extensions and homotopy classification, we show that 3D brokenness and 2D symmetry mutually stabilize in a minimal generative hierarchy.
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Shin Tamaki (2026) studied this question.
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