Kurukadi is one of the Wati Kutjara, the Two Men, a pair of goanna-totem ancestral brothers whose Dreaming track runs for thousands of kilometres across the Western Desert, from the Kimberley to South Australia. Kurukadi bears the light-coloured goanna as his totem, his companion Mumba the black goanna. On their journey the two men first sang their own names to fix their identity, then travelled about naming waterholes and ranges, instituting the circumcision rites and the sacred law, and correcting those who lacked proper ceremony. A widely recorded episode has the pair punish the lawless moon-man for assaulting women against marriage law, in some versions felling him with a charmed boomerang. Documented among Western Desert peoples by Norman Tindale and by Geza Roheim, the Wati Kutjara are one of the most far-travelled ancestral pairs of the Pitjantjatjara and neighbouring language groups.