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math.DG2026
Complete closed-form solutions to the problem of inextensional bending for surfaces of translation and origami tessellations
Adam Reddy, Asma Karami, Hussein Nassar
Plates generally admit six deformation modes: three of which are high in strain energy, stretch the plate's midsurface and are called membrane modes; and three are low-energy, bend…
math.DG2024
How periodic surfaces bend
Hussein Nassar
A periodic surface is one that is invariant by a 2D lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes.…
math.DG2023
Frustration Propagation in Tubular Foldable Mechanisms
Adam Reddy, Asma Karami, Hussein Nassar
Shell mechanisms are patterned surface-like structures with compliant deformation modes that allow them to change shape drastically. Examples include many origami and kirigami tess…