Proceedings of the IMA Conference on Mathematics of Robotics, 2015
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can be fully explained through our theory of periodic pseudo-triangulations. However, higher dimensions present new challenges. In this paper we study a number of periodic frameworks with expansive capabilities in dimension d ≥ 3 and register both similarities and contrasts with the two-dimensional case.
Borcea, Ciprian and Streinu, Ileana, "Expansive Periodic Mechanisms" (2015). Computer Science: Faculty Publications, Smith College, Northampton, MA.