Beta silver iodide with a wurtzite structure undergoes the well known beta‐alpha phase transition (1st order) to the Ag+disordered bcc phase at 147°C. Besides the fast Ag+ion conductivity which continues to baffle researchers, recent work on &agr;‐AgI has thrown up many surprises of a fundamental nature, notably, strongly coupled one component plasma behavior and the fractal nature of Ag+diffusion. The present paper attempts to capture the current excitement in this area and to cite some interesting experimental results.