Despite a growing recognition of his work, Biederman also gained a reputation for being arrogant, which would affect his relationships with curators and other artists.

Eventually, Biederman rejected Léger's work as well, moving towards strictly geometric, completely abstract forms.

[6] Between 1937 and 1941, Biederman lived in New York City and Chicago and continued to explore the ideas developed in Paris.

John was independently wealthy and was an important patron for Biederman from 1931 until 1953, helping to financially support him and encouraging his work.

[2][7] Biederman's farm near Red Wing influenced his work and his ideas about the relationship between art and nature.

In the 1950s, he introduced the term Structurism to describe his vividly painted three-dimensional geometric reliefs, in order to distinguish them from Constructivism and De Stijl.

His estate was given to the Weisman Art Museum at the University of Minnesota, which has organized traveling exhibitions of Biederman's work.