Table -S19 in the supplementary information show examples of the top-7 similarities among the concepts of local atomic environments. On the CLICS feature space, just one more or less numbered coordinate geometries have similar meanings. Named entities like "distorted square co planar" geometry is similar to "four coordinate" geometry, "distorted hexagonal planar" geometry is similar to "six coordinate" geometry, "distorted body centered cubic" geometry is similar to "eight coordinate" geometry, and so on. CLICS may have grasped the degree of symmetry in addition to coordination number, as "distorted" appeared on top of these concepts. The orders in the top-7 ranked concepts show some relationships among the geometries: e.g., hexagonal planar is similar to pentagonal planar, a hexagonal pyramidal geometry is obtained by adding a vertex perpendicularly to the hexagonal plane, and adding another vertex at the opposite side leads a hexagonal bipyramidal geometry. We also found the relatedness between the [METAL]-centered 8-coordinate geometry and [NONMETAL]-centered 4/5-coordinate geometries. We have faced its origin in e.g. Sm 2 CoMnO 6 , a family of perovskite structure (Table ), in which the three local atomic environments reside. A more detailed discussion is provided in the supplementary information.