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Overview"Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a self-contained sequel to Richard Schwartz's Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites.Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called ""the plaid model,"" has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics.The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration." Full Product DetailsAuthor: Richard Evan SchwartzPublisher: Princeton University Press Imprint: Princeton University Press Volume: 361 ISBN: 9780691181387ISBN 10: 0691181381 Pages: 280 Publication Date: 19 February 2019 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Language: English Table of ContentsReviews[An] enjoyable excursion into a new field. ---Meghan De Witt, MAA Reviews Author InformationRichard Evan Schwartz is the Chancellor's Professor of Mathematics at Brown University. He is the author of Spherical CR Geometry and Dehn Surgery and Outer Billiards on Kites (both Princeton). Tab Content 6Author Website:Countries AvailableAll regions |
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