Well known as a sculptor, Meadmore began his career as a designer. His furniture was sold at Marion Hall Best’s showrooms and his lighting design shown at the 1956 Melbourne Olympics Arts Festival alongside the work of designers such as Grant Featherston. Meadmore ran Max Hutchinson's Gallery A, Melbourne, in the late 1950s. In 1963 he moved to New York, where he concentrated primarily on his work as a sculptor.
Ion Nicolades commissioned Meadmore to design a new interior for the egend Espresso and Milk Bar. Meadmore invited Leonard French to paint seven panels for the Milk Bar on the theme of the Legend of Sinbad.