❴PDF / Epub❵ ★ The Plaid Model (ams-198) Author Richard Evan Schwartz – Heartforum.co.uk 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 mo 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 seuel to Richard Schwartz's Outer Billiards on Kites provides a combinatorial model for orbits of outer billiards on kitesSchwartz relates these orbits to such topics The Plaid PDF/EPUB ² 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 mathematicsThe book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
Richard Schwartz grew up in Los Angeles He wore only blue clothes between the ages of and He spent his youth obsessively playing tennis until video games distracted him He majored in math at UCLA got a PhD in math from Princeton and is currently the Chancellor's Professor of Mathematics at Brown University His research interests lie in geometry and dynamics He likes to do mathematical.
- 280 pages
- The Plaid Model (ams-198)
- Richard Evan Schwartz
- 06 July 2015 Richard Evan Schwartz