{"product_id":"shadows-of-reality-tony-robbin-9780300110395","title":"Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought","description":"\u003cp\u003eIn this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument 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 creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Tony Robbin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0300110391\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780300110395\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Yale University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/01\/2006\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 160\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.43lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.76h x 7.72w x 0.64d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 09\/01\/2006 pg. 45\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 12\/01\/2006 pg. 680","brand":"Tony Robbin","offers":[{"title":"Hardcover","offer_id":44057812271359,"sku":"9780300110395","price":73.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_91a7666b-ecea-4e5d-ba87-efc8cca9388b.jpg?v=1685049009","url":"https:\/\/www.whiterainbookhouse.com\/products\/shadows-of-reality-tony-robbin-9780300110395","provider":"WR Book House","version":"1.0","type":"link"}