Marcel Duchamp implying that the woman in the painting is in a state of sexual excitement and availability. It may also have been intended as a Freudian joke, referring to Leonardo da Vinci's alleged homosexuality. Duchamp gave a "loose" translation of L.H.O.O.Q. as "there is fire down below" in a late interview with Arturo Schwarz. According to Rhonda Roland Shearer, the apparent "Mona Lisa" reproduction is in fact a copy modeled partly on Duchamp's own face. Research published by Shearer also speculates that Duchamp himself may have created some of the objects which he claimed to be "found objects". Duchamp worked on
Marcel Duchamp much purer than art in its social position." On another occasion, Duchamp elaborated, "The chess pieces are the block alphabet which shapes thoughts; and these thoughts, although making a visual design on the chess-board, express their beauty abstractly, like a poem. ... I have come to the personal conclusion that while all artists are not chess players, all chess players are artists." In 1932, Duchamp teamed with chess theorist Vitaly Halberstadt to publish "L'opposition et cases conjuguées sont réconciliées" (Opposition and Sister Squares are Reconciled), known as corresponding squares. This treatise describes the Lasker-Reichhelm position, an extremely rare type of