The mathematical relationship between Zipf's law and the hierarchical scaling law

► Zipf's law is mathematically equivalent to the hierarchical scaling law. ► The Zipf distribution can be transformed into a self-similar hierarchy. ► The self-similar hierarchy complies with the generalized 2n rule.► From the general 2n rule follows the hierarchical scaling law. ► The hierarchical scaling law forms a new way of looking at city development.