A global combinatorial obstruction shows that no triple-girth product structure with support sizes m,n ≥ 2 admits a coherent orientation satisfying the no-fold and triple-girth conditions simultaneously.
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A global girth obstruction for Garg--Mineyev taiko product structures
A global combinatorial obstruction shows that no triple-girth product structure with support sizes m,n ≥ 2 admits a coherent orientation satisfying the no-fold and triple-girth conditions simultaneously.