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Jamming is a phenomenon in which a collectionof compliant elements is encased in an airtight envelope, anda vacuum-induced pressure enhances frictional and kinematiccoupling, resulting in dramatic changes in stiffness. This paperintroduces the jamming of square cross-sectioned fibers, whichallow for tunable and programmable anisotropic stiffness. Atheoretical model captures the effect of major geometric designparameters on the direction-variant bending stiffness of theselong and slender jamming elements. The model is experimen-tally validated, and a 13-fold stiffening in one direction anda 22-fold stiffening in the orthogonal direction is achievedwith a single jamming element. The performance of a square-fiber-jamming continuum robot structure is demonstrated in asteering task, with an average reduction of 74% in the measuredinsertion force when unjammed, and a direction-variant 53%or 100% increase in the measured tip stiffness when jammed.
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