Cormack, who spent a year working with the Harvard Cyclotron and joined the Tufts faculty in 1957, derived a mathematical formula which compiled an accurate image from the readings made by X-rays criss-crossing the body from different directions, and published on these findings in the 1960s. Godfrey Newbold Hounasfield would later patent the first working CAT scan machine, and the two men shared the 1979 Nobel Prize in Physiology or Medicine.