Wireless detonator assemblies (51-59) in use, form a cross-communicating network of wireless “detonator assemblies, such that communication of each wireless detonator assembly (57-59) with an associated blasting machine (50) can occur either directly, or via relay of signals (61-69) between other wireless detonator assemblies (51-56) in the network. Wireless detonator assemblies (51-59) can disseminate information (such as status information, identity information, firing codes, delay times and environmental conditions) among all of the wireless detonator assemblies in the network, while compensating for signal transmission relay delays at nodes in the network, thereby enabling the wireless detonator assemblies to detonate the explosive charges in accordance with the delay times. Various wireless detonator assemblies and corresponding blasting apparatus are disclosed and claimed. Methods of blasting using the wireless detonator assemblies and blasting apparatus are also disclosed and claimed.