  State-of-the-art representations of volumetric multi-scale shape and
structure can be classified into three broad categories: continuous,
continuous-from-discrete, and discrete representations. We propose modeling
micro-structure with a class of discrete Corner-Sharing Tetrahedra (CoSTs).
CoSTs can represent bar-joint, tensegrity, line-incidence, and similar
constraint systems that capture local physical constraints and global
multi-scale properties for design and analysis. The paper develops a palette of
simple geometry processing operations on CoSTs including graph manipulation,
hierarchical refinement, randomization, and generating associated continuous
representations.
