Shadows of Reality~tqw~ darksiderg

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    *******************************************************************************<br /> Shadows of Reality<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 1,876,115 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> In this insightful book, which is a revisionist math history as well as a <br /> revisionist art history, Tony Robbin, well known for his innovative computer <br /> visualizations of hyperspace, investigates different models of the fourth <br /> dimension and how these are applied in art and physics. Robbin explores the <br /> distinction between the slicing, or Flatland, model and the projection, or <br /> shadow, model. He compares the history of these two models and their uses and <br /> misuses in popular discussions. Robbin breaks new ground with his original <br /> argument that Picasso used the projection model to invent cubism, and that <br /> Minkowski had four-dimensional projective geometry in mind when he structured <br /> special relativity. The discussion is brought to the present with an exposition <br /> of the projection model in the most creative ideas about space in contemporary <br /> mathematics such as twisters, quasicrystals, and quantum topology. Robbin <br /> clarifies these esoteric concepts with understandable drawings and diagrams.<br /> Robbin proposes that the powerful role of projective geometry in the development <br /> of current mathematical ideas has been long overlooked and that our attachment <br /> to the slicing model is essentially a conceptual block that hinders progress in <br /> understanding contemporary models of spacetime. He offers a fascinating review <br /> of how projective ideas are the source of some of today&rsquo;s most exciting <br /> developments in art, math, physics, and computer visualization.<br /> <br /> Table of Contents<br /> <br /> Ch. 1 The origins of four-dimensional geometry 3<br /> Ch. 2 Fantasies of four-dimensional space 19<br /> Ch. 3 The fourth dimension in painting 28<br /> Ch. 4 The truth 41<br /> Ch. 5 A very short course in projective geometry 53<br /> Ch. 6 Patterns, crystals, and projections 61<br /> Ch. 7 Twistors and projections 72<br /> Ch. 8 Entanglement, quantum geometry, and projective reality 83<br /> Ch. 9 Category theory, higher-dimensional algebra, and the dimension ladder 93<br /> Ch. 10 The computer revolution in four-dimensional geometry 105<br /> Ch. 11 Conclusion : art, math, and technical drawing 114<br /> <br /> Product Details<br /> <br /> * ISBN: 0300110391<br /> * ISBN-13: 9780300110395<br /> * Format: Hardcover, 137pp<br /> * Publisher: Yale University Press<br /> * Pub. Date: March 2006<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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