Shadows of reality
Subtitle: the fourth dimension in relativity, cubism, and modern thought
By: Tony Robbin.
Publisher: Yale University Press
Published: 2006
Place of publication: New Haven
Language: eng
Number of pages: 137
ISBN-13: 9780300110395
Subjects: Geometric quantization.; Fourth dimension.; Art -- Mathematics.; Geometry in art.; Hyperspace.
Description: This book is both art history and mathematical history with a revisionist slant. The author investigates different models of the fourth dimension and how these are applied in art and physics. He contrasts the slicing model to the projection or shadow model and provides commentary on Picasso's cubism and Minkowski's work.
Notes: Includes bibliographical references and index.
Table of contents: title: The origins of four-dimensional geometry; title: Fantasies of four-dimensional space; title: The fourth dimension in painting; title: The truth; title: A very short course in projective geometry; title: Patterns, crystals, and projections; title: Twistors and projections; title: Entanglement, quantum geometry, and projective reality; title: Category theory, higher-dimensional algebra, and the dimension ladder; title: The computer revolution in four-dimensional geometry; title: Conclusion : art, math, and technical drawing.