The scientific approach of this book transcends the limits of art literature in that it also develops geometric theories of gestures and distributed identities, also known as swarm intelligence. We exemplify this approach in the framework of free jazz, which is a prototypical creative and collaborative art form. A CD with new recordings of the group Tetrade (Jeff Kaiser on trumpet, Guerino Mazzola on piano, Sirone on bass, Heinz Geisser on percussion) is included.