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math.MG2026
On weavings, grillages, tensegrities, and frameworks
Cameron Millar, Bernd Schulze, Louis Theran
We investigate the stability of discrete structures comprising of woven elastic beams in a plane, exposing a connection between admissible over / under patterns and the first-order…
math.MG2025
Equilibrium stresses in frameworks via symmetric averaging
Cameron Millar, Bernd Schulze, Louis Theran
For a bar-joint framework , a subgroup of the automorphism group of , and a subgroup of the orthogonal group isomorphic to , we introduce a symmetric averaging m…