‘Superconnectors’ compares homogeneous networks, where all nodes have more or less the same degree, and heterogeneous networks, where hubs, or superconnectors, are present. In homogeneous networks, the degree distribution is a bell curve, similar to that of height, while in heterogeneous networks, it is a power law, similar to that of friendships and shows fat-tailed distribution. Heterogeneity is not equivalent to randomness. On the contrary, it can be the signature of a hidden order, not imposed by a top-down project, but generated by the elements of the system. Understanding the origin of this self-organized order is one of the central challenges of the science of networks.