DUCHAMP (Marcel) - HALBERSTADT (Vitaly). Opposition and Sister Squares. Opposition und Schwesterfelder. Opposition and Sister Squares. Paris, Brussels: L'Échiquier, 1932. — In-4, 279 x 243: (1 f.), 4 pp., ff. 5-(113), printed cover. Paperback. Trilingual first edition (French, German, and English) of this rare treatise written by Marcel Duchamp (1887–1968) and the Ukrainian-born chess player Vitaly Halberstadt (1903–1967), devoted to the problem of chess endgames. The work is illustrated with 258 diagrams, or chessboards, in red and black, including 8 printed on transparent paper, “which, when folded along the hinge indicated by the red dotted line, show the mechanism for folding the white main section over the black main section, with or without translation (black dotted line), as appropriate” (f. 91). The cover was designed by Marcel Duchamp. Copy in perfect condition, complete with the two advertising inserts and the two errata sheets, one of which is pasted to the inside back cover. A few pages are slightly browned.