A PREPRINT We have briefly discussed missing retrieval of a polyhedron composing connected geometries in Section 4.1 (e.g., Sm 2 CoMnO 6 in Table ). There are cases where a polyhedron in the connection is retrieved simply via the similarity to the local atomic environments (e.g., FeTa 2 O 6 in Table ), but for the other cases, intricate texts are required to retrieve the connected geometries. The later cases seem to arise when the structures are specifically characterized by the connected geometries rather than by each single polyhedron. Although it is not essential in itself what phrases would retrieve the concepts, a successful retrieval allows us to see whether the concept is embedded near the target crystal. We here discuss the retrieval of connected geometries in detail.