The process that contributes to the act of creating the structural organization of the hindbrain. This process pertains to the physical shaping of a rudimentary structure. The hindbrain is the region consisting of the medulla, pons and cerebellum. Areas of the hindbrain control motor and autonomic functions. [ https://www.worldcat.org/search?q=bn%3A0838580343 http://purl.obolibrary.org/obo/go/references/0000021 GOC:cls GOC:dgh GOC:jid GOC:dph ]