The network science has entered the new stage-the super network science. The exploration of the supernetwork becomes one of the frontier issues both at home and abroad in recent years. This paper briefly discusses the characteristics of the supernetwork, with 2 typical examples, focusing on the importance of the theoretical model. The difficulty of nonlinear hyper-network mathematical problems is highlighted. The research route and the progress of multi-level hyper networks are reviewed. At the end of the paper, we put forward some questions, as the food for thought.

network science  /  multilayer supernetwork  /  nonlinearity  /  complexity