LunarVis -- analytic visualizations of large graphs The analysis and the exploration of complex networks nowadays involves the identification of a multitude of analytic properties that have been ascertained to constitute crucial characteristics of networks. We propose a new layout paradigm for drawing large networks, with a focus on decompositional properties. The visualization is based on the general shape of an annulus and supports the immediate recognition of a large number of abstract features of the decomposition while drawing all elements. Our layouts offer remarkable readability of the decompositional connectivity and are capable of revealing subtle structural traits.