cf. S. Day, Art Deco and Modernist Carpets, San Francisco, 2002, p. 132, no. 180 for an illustration of another rug of this design in the apartment of Robert Mallet-Stevens, Paris.
This carpet, probably titled, 'Brown', is most likely part of a series of carpets Léger produced for the Myrbor Gallery based on the principles of Purism. Resembling collages, their names were determined by the color of the grounds, White, Red, Green, etc.