Plaid Model: (AMS-198)

Outer billiards is a toy model for planetary motion that exhibits intricate and mysterious behavior. The Plaid Model provides a combinatorial model for orbits of outer billiards on kites, which has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and are difficult to reach through traditional mathematics.

\n Format: Paperback / softback
\n Length: 280 pages
\n Publication date: 19 February 2019
\n Publisher: Princeton University Press
\n

Outer billiards serves as a captivating toy model for the study of planetary motion, exhibiting intricate and enigmatic behavior even in seemingly straightforward scenarios. It represents a dynamical system where a particle in a plane navigates around the exterior of a convex shape, following a scheme reminiscent of traditional billiards.

The Plaid Model, a self-contained sequel to Richard Schwartz's renowned Outer Billiards on Kites, presents a combinatorial framework for the orbits of outer billiards on kites. Schwartz establishes connections between these orbits and diverse subjects such as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The "plaid model" exhibits a self-similar structure that seamlessly blends geometry and elementary number theory.

Through extensive computer experimentation, the results of this study were unveiled, suggesting that traditional mathematics may find it challenging to reach the same conclusions. The book includes an extensive computer program that enables readers to explore the materials interactively, and each theorem is accompanied by a computer demonstration to enhance understanding.

Outer billiards serves as a captivating toy model for the study of planetary motion, exhibiting intricate and enigmatic behavior even in seemingly straightforward scenarios. It represents a dynamical system where a particle in a plane navigates around the exterior of a convex shape, following a scheme reminiscent of traditional billiards.

The Plaid Model, a self-contained sequel to Richard Schwartz's renowned Outer Billiards on Kites, presents a combinatorial framework for the orbits of outer billiards on kites. Schwartz establishes connections between these orbits and diverse subjects such as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The "plaid model" exhibits a self-similar structure that seamlessly blends geometry and elementary number theory.

Through extensive computer experimentation, the results of this study were unveiled, suggesting that traditional mathematics may find it challenging to reach the same conclusions. The book includes an extensive computer program that enables readers to explore the materials interactively, and each theorem is accompanied by a computer demonstration to enhance understanding.

Outer billiards serves as a captivating toy model for the study of planetary motion, exhibiting intricate and enigmatic behavior even in seemingly straightforward scenarios. It represents a dynamical system where a particle in a plane navigates around the exterior of a convex shape, following a scheme reminiscent of traditional billiards.

The Plaid Model, a self-contained sequel to Richard Schwartz's renowned Outer Billiards on Kites, presents a combinatorial framework for the orbits of outer billiards on kites. Schwartz establishes connections between these orbits and diverse subjects such as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The "plaid model" exhibits a self-similar structure that seamlessly blends geometry and elementary number theory.

Through extensive computer experimentation, the results of this study were unveiled, suggesting that traditional mathematics may find it challenging to reach the same conclusions. The book includes an extensive computer program that enables readers to explore the materials interactively, and each theorem is accompanied by a computer demonstration to enhance understanding.

\n Weight: 486g\n
Dimension: 158 x 234 x 19 (mm)\n
ISBN-13: 9780691181387\n \n