In 1961, she took part in Karlheinz Stockhausen's composition course at the Internationale Ferienkursen für Neue Musik in Darmstadt. Later that same year she collaborated with Stockhausen in a theatre piece titled "Originale" (Originals), which was given twelve performances at the Theater am Dom, Cologne, from 26 October to 6 November 1961. Amongst the performers were Bauermeister herself (as The Painter), Nam June Paik (Actions), David Tudor (piano and percussion), and Hans G. Helms (The Poet). In 1962 she had her first solo exhibition at the Stedelijk Museum in Amsterdam with a simultaneous day-long performance of electronic music under Stockhausen's direction. On 3 April 1967, in San Francisco, she married Stockhausen, with whom she had two children: Julika (born 22 January 1966) and Simon (born 5 June 1967). They were divorced in 1972. She has two younger daughters, Sophie (born July 1972, father David C. Johnson) and Esther (born 1974, father ).