The degree of compression of the 74 3D porosity images by the singular value decomposition sheds some light on the diversity of cages that have been synthesized. A ν = 22 dimensional latent representation-a 70% compression of the 3D porosity images-incurred less than 15% relative error. Consequently, one might suggest that the cavities of the 74 cages in Fig. are composed of approximately 20 orthogonal cavity "motifs" (eigencages).