“…Throughout this work, we assume that the length of each link is fixed, while the bending can be actively controlled. We further assume, that bending occurs in arcs with a constant curvature, which is a common assumption for a variety of actuation methods ( Webster III and Jones, 2010 ), e.g., utilizing tendons ( Rao et al., 2021 ), multi-backbones ( Simaan et al., 2004 ), push-pull rods ( Oliver-Butler et al., 2021 ), polymer actuators ( Moghadam et al., 2015 ) or pneumatic actuators ( Garcia et al., 2020 ; 2021 ). We do not consider additional methods of actuation, such as translating or rotating the bases of the continuum links, a practice often done in PCR with passively deforming links.…”