Higher order infinitesimal bending of a class of toroids

Within this paper we consider the higher order infinitesimal bending of a surface in E 3 . The sufficient condition for a toroid generated by a polygonal meridian to be non-rigid of higher order is given. The work contained is an extension of the results of [2] and [13–18]. Examples of non-rigid surfaces, with a visual representation of infinitesimal bending are provided.