The Plaid ModelAuthor :
Paperback
Published : Tuesday 19 February 2019
Description
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 Schwartzâ?Ts 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 â?othe plaid model,â?? 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.
You may also like ...
by
Hardback
19 Feb 2019
Number theory
€181.35
Extended stock – Dispatch 5-7 days
by
Paperback
19 Feb 2019
Number theory
€81.90
Extended stock – Dispatch 5-7 days
by
Paperback
30 Oct 2018
Mathematics
€25.68
Extended stock – Dispatch 5-7 days
by
Hardback
30 Jun 2017
Calculus and mathematical analysis
€132.21
Extended stock – Dispatch 5-7 days
Reviews