Diversity of the topologies This huge diversity of the topologies encountered can be surprising or counter-intuitive to solid-state chemists, who like to classify materials in well-known topologies (for example, for common minerals). However, the need for increasing topological diversity in databases of hypothetical materials has been highlighted before, for example by Anderson et al. in the case of metal-organic frameworks (MOFs). We believe our present analysis reinforces this point: computational databases generated by enumeration of a limited number of identified topologies are inherently limited compared to the wide diversity observed here.