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Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought Hardcover – March 31, 2006

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Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought + The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Leonardo Book Series) + Geometry, Relativity and the Fourth Dimension (Dover Books on Mathematics)
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Editorial Reviews

Review

"Robbin’s insights may well be among those that lead our scientific, artistic, and general society to new understandings of our world."—Charles H. Scheim, Hartwick College


(Charles H. Scheim)

"Robbin’s discussion of Picasso’s summer 1910 painting, Seated Woman with a Book, is exciting and brand new."—Jan Schall, The Nelson-Atkins Museum of Art


(Jan Schall)

"Shadows of Reality is a high-energy ride through hyperspace. Robbin exercises his preference in favor of understanding higher dimensional spaces via projection and projective geometry. His tour starts at the beginning of the twentieth century with special relativity and ideas of four-space and moves on to the advent of cubism, the emergence of quantum theory, quasi-crystals, the spin network and twistor theories of Roger Penrose, modern views of quantum non-locality, and the geometry and topology of higher category theory."—Louis H. Kauffman, author of Knots and Physics


(Louis H. Kauffman)

"So what is this book? It is a combination of art, history of art, science and mathematics and their respective histories; it is philosophy and it is enlightening."—Scott Carter, University of South Alabama


(Scott Carter)

"A fascinating flythrough of … intellectually rigorous climes . . . . The panorama he sketches in Shadows of Reality is rich and fascinating."—Science


(Science)

“Robbin’s book is a provocative, illuminating adventure … offering novel insights into both math and art history.”—Ivars Peterson, Science News


(Ivars Peterson Science News)

About the Author

Tony Robbin has had more than twenty-five solo exhibitions of his paintings and sculpture since his debut at the Whitney Museum of American Art in 1974. He is a pioneer in the computer visualization of four-dimensional geometry and the author of Engineering a New Architecture, published by Yale University Press.

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Product Details

  • Hardcover: 160 pages
  • Publisher: Yale University Press; First Edition edition (March 31, 2006)
  • Language: English
  • ISBN-10: 0300110391
  • ISBN-13: 978-0300110395
  • Product Dimensions: 0.8 x 7.8 x 10.8 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #641,237 in Books (See Top 100 in Books)

More About the Author

Tony Robbin has had over 25 solo exhibitions of his painting and sculpture since his debut at the Whitney Museum of American Art in 1974, and been included in over 100 group exhibitions in 12 countries. Robbin holds the patent for the application of Quasicrystal geometry to architecture, and has implemented this geometry for a large-scale architectural sculpture at the Danish Technical University in Lyngby, Denmark, as well as one for the city of Jacksonville, Florida.

Tony Robbin's latest book is Shadows of Reality, published by Yale University Press (YUP), which argues that four-dimensional projective geometry is the mathematical system best suited to describe reality. He is also the author of the book Engineering a New Architecture, YUP in 1996, and also the book Fourfield: Computers, Art & the Fourth Dimension, published in 1992 by Bulfinch Press/ Little, Brown & Company. He has written 26 papers and articles, mostly for peer review publications, and lectured to professional organizations and university departments of art, physics, mathematics, computer science, architecture, and engineering in the United States, in Europe and Japan, including engineering society meetings in Atlanta, Copenhagen, Guilford, and Budapest. He has written a memoir, published by Kindle, called Mood Swing, a Painter's life.

Tony Robbin is a pioneer in the computer visualization of four-dimensional geometry. Since 1981, his realtime rotation programs of four-dimensional figures have been useful for obtaining an intuitive feel for four-dimensional and quasicrystal space.

Tony Robbin has an extensive website: tonyrobbin.net

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Most Helpful Customer Reviews

11 of 11 people found the following review helpful By Paul Halpern on March 6, 2006
Format: Hardcover
An innovative thinker and a gifted artist, Tony Robbin filters the world of mathematics through the nuances of human vision, creating masterful representations of higher dimensions. His new book stands as a testament to his meticulous scholarship of the history of projective geometry, in mathematics, physics and art. It is a thoroughly enjoyable account of how the notion of finding shadows of the fourth dimension emerged in the 19th century, permeated modern art in the 20th, and now represents one of the frontiers of computer graphics in the 21st. Along the way, Robbin shows how projective geometry could provide the key to a quantum description of gravity. A must read, for the curious anecdotes, cutting-edge science, impressive array of references, colorful art, and insight into how we can perceive the seemingly imperceptible.
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By Retire to Portugal on August 13, 2014
Format: Hardcover
Do a review of geometry prior to reading if needed.
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1 of 2 people found the following review helpful By David Burton on June 11, 2009
Format: Hardcover
Shadows of Reality discusses the 4th dimension in math and art. Robbin is very thorough both in his analysis and his historical explorations. I enjoyed the book a great deal.
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Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought
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