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Shadows of Reality – The Fourth Dimension in Relativity, Cubism, and Modern Thought - Yale Scholarship Online
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Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Tony Robbin


This book investigates different models of the fourth dimension and how these are applied in art and physics. It explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. The book compares the history of these two models and their uses and misuses in popular discussions. The book argues that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creativ ... More

Keywords: fourth dimension, art, physics, slicing model, projection model, cubism, special relativity, twisters, quasicrystals, quantum topology

Bibliographic Information

Print publication date: 2006 Print ISBN-13: 9780300110395
Published to Yale Scholarship Online: October 2013 DOI:10.12987/yale/9780300110395.001.0001


Affiliations are at time of print publication.

Tony Robbin, author