The Pathless Path

Can dreams come true when you're living with a family curse?1965―San Francisco, CaliforniaThe 1960s are bursting with music and movement and love in San Francisco, perfect for a budding artist like Blake. Unfortunately, the art world is not welcoming to people of her gender or her multi-racial heritage, making it tough to land an internship that could put her on the map. That, plus the fact that Blake’s family has been notoriously riddled with bad luck, makes her feel like she can’t catch a break. Things only get worse when Blake starts to have ominous, confusing visions that grow stronger and more frequent, prompting Blake’s aunt and uncle to tell her about a long-lost family heirloom that could be the key to everythingFueled by the ambiguous clues in her visions, Blake sets out on a journey through the city to retrieve her ancestors’ legendary mirror. But Blake is not the only one looking for it. Soon she must attempt to unleash her own dormant powers . . . or else risk all she holds

Real networks comprise from hundreds to millions of interacting elements and permeate all contexts, from technology to biology to society. All of them display non-trivial connectivity patterns, including the small-world phenomenon, making nodes to be separated by a small number of intermediate links. As a consequence, networks present an apparent lack of metric structure and are difficult to map. Yet, many networks have a hidden geometry that enables meaningful maps in the two-dimensional hyperbolic plane. The discovery of such hidden geometry and the understanding of its role have become fundamental questions in network science giving rise to the field of network geometry. This Element reviews fundamental models and methods for the geometric description of real networks with a focus on applications of real network maps, including decentralized routing protocols, geometric community detection, and the self-similar multiscale unfolding of networks by geometric renormalization.