A mechanism is provided for generating visual representations of an address space. More particularly, the dotted quad notation of an Internet Protocol address space is illustrated. A discovery process is performed to identify addresses of entities in the network, as well as other information, such as device type, operating system, geographic location, and the like. Each unique address is represented by a graphical icon representing a value of the fourth quad of the address. The graphical icons may be three-dimensional and may be indicative of the type of device. These icons are formed into strings of icons, each string of icons representing a value of the third quad of the addresses. The strings of icons are formed into spokes on wheels, each wheel representing a value of the second quad of the addresses. The wheels are stacked into cylinders, each cylinder representing a value of the first quad of the addresses. The cylinders are formed into spokes of another wheel or disk that represents the entire address space. The address space disk may be presented in association with a geographic region. Address space disks may be captured and stored periodically. These address space disks then may be stacked to form cylinders, each cylinder representing a predetermined number of seconds. Alternatively, the time-stamped address space disks may be rotated to form spheres, each sphere representing, for example, sixty seconds.