Shadows of reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought.This book explores models of fourth-dimensional space and how they are applied in physics and art. The most routine four-dimensional view of space is called the Flatland flat·land
1. Land that varies little in elevation.
2. flatlands A geographic area composed chiefly of land that varies little in elevation. model. Robbin contrasts this model with the projection, or shadow, model. In it, parallel lines meet at infinity and create the perspective found in real life. Pablo Picasso employed the projection model when he invented cubism cubism, art movement, primarily in painting, originating in Paris c.1907. Cubist Theory
Cubism began as an intellectual revolt against the artistic expression of previous eras. , writes Robbin, an artist and computer scientist. Mathematician Hermann Minkowski Noun 1. Hermann Minkowski - German mathematician (born in Russia) who suggested the concept of four-dimensional space-time (1864-1909)
Minkowski and physicist Roger Penrose Sir Roger Penrose, OM, FRS (born 8 August 1931) is an English mathematical physicist and Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute, University of Oxford and Emeritus Fellow of Wadham College. developed the model. Physicists now use it to explain the quantum world, Robbin writes. He reviews the history of four-dimensional geometry, explains how four-dimensional models can envision a person walking through a wall, and explores the fourth dimension in art. The author summarizes how the development of computerized models can aid in the visualization of four-dimensional geometry. Yale, 2006, 137 p., b&w illus., hardcover, $40.00.