The rhizome concept explored by Deleuze and Guatarri has had an important influence on formal thinking in music and new media. This paper explores the development of rhizomatic musical scores that are arranged cartographically with nodal points allowing for alternate pathways to be traversed. The challenges of pre-digital exemplars of rhizomatic structure are discussed. It follows the development of concepts and technology used in the creation of five works by the author Ubahn c. 1985: the Rosenberg Variations , The Last Years , Sacrificial Zones , detritus  and trash vortex . The paper discusses the potential for the evolution of novel formal structures using rhizomatic structures.