Abstract:Discrete conjugate nets (also known as quad-surfaces) are polyhedral surfaces made of quadrilaterals connected in the combinatorics of the square grid. A generic discrete conjugate net is rigid. The present article contains counterexamples to an erroneous statement that a non-degenerate discrete conjugate net with flexible $3 \times 3$-subnets is flexible and proves a corrected version of it under stronger non-degeneracy assumptions.
From: Ivan Izmestiev [view email]
[v1]
Sun, 14 Jun 2026 16:36:22 UTC (5,397 KB)
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