The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Contents follow: List of Illustrations, Acknowledgments, Introduction, The Nineteenth-Century Background, Cubism and the New Geometries, Marcel Duchamp and the New Geometries, The Fourth Dimension and Non-Euclidean Geometry in America, Transcending the Present: The Fourth Dimension in the Philosophy of Ouspensky and in Russian Futurism and Suprematism, The New Geometries During World War I and the Postwar Period in France and Holland: Reevaluation and Transformation, Conclusion, Appendices A, B, and C, Bibliography, Index, and Plates.