After her resignation from the New York City Ballet in 1961, Sobotka choreographed for the American Shakespeare Festival in Stamford, Connecticut and studied acting under Herbert Berghof, Uta Hagen and later Lee Strasberg at The Actor's Studio.
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She appeared in a number of Off-Broadway productions and was a member of the Seattle Repertory Theatre during their first season in 1963, playing Cordelia in King Lear.
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Sobotka also danced in James Waring's company and for major American choreographers and designed costumes for works by Paul Taylor, Erick Hawkins, and John Taras.
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After studying at the School of American Ballet, Sobotka became a member of George Balanchine's Ballet Society (1946–1948) and its successor the New York City Ballet from 1949 to 1961.
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A young Sobotka appeared as "The Girl" in Man Ray's segment "Ruth, Roses and Revolvers" in the groundbreaking avant-garde film by Hans Richter, Dreams That Money Can Buy (1946).
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