Techniques and mechanisms are disclosed for generating visualizations which graphically depict network activity occurring between pairs of networked computing devices. The visualizations are based on data indicating the network activity, where the network activity can involve devices having any network addresses within an entire network address space (e.g., any address within the Internet Protocol version v4 (IPv4) or IPv6 network address space), or within some subset of an entire network address space. The ability to visualize high-level information related to network activity occurring across an entire network address space enables network analysts and other users to readily analyze characteristics of computer networks which otherwise might not be evident or difficult to obtain using other types of visualizations.