The motivation behind the structure of this representation is to highlight the major components of crystal structures. There is a structural component that encodes symmetry, basis, and lattice information and an interatomic component that encodes the relative distances between atoms into the representation itself. With only the interatomic distances of a given crystal, it would be impossible to reconstruct the atomic numbers, space group, and various lattice parameters. Likewise, with only the structural components, it may be challenging for a convolution-based generative modeling algorithm to encode the relationships between various components which may lead to generated structures with unreasonable interatomic distances.