The story
From Pushmi-pullyu, the name of a fictional animal with two heads at opposing ends of its body, along with very sharp horns on each side of the head, in Hugh Lofting's The Story of Doctor Dolittle.
Etymology from Wiktionary, CC BY-SA 4.0.
pushmi-pullyu
Today it means: A person who behaves in a conflicting or contradictory manner. Full definition →