Fig. 2

Circular cam tessellations and their degrees of freedom (DOFs). Example tessellations that achieve a zero DOFs and b one DOF. c One-DOF square-tessellated lattices can guide large motions and d can achieve large mechanical advantages. e One-DOF square–triangle–dodecagon tessellated lattices achieve auxetic behavior. f Some lattices achieve an increasing number of DOFs as their size grows. g Such infinite-DOF lattices can take on many shapes