Symplectic Tiling Billiards, Planar Linkages, and Hyperbolic Geometry
| Autor: | Schwartz, Richard Evan |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The purpose of this paper is to unite two games, symplectic billiards and tiling billiards. The new game is called symplectic tiling billiards. I will prove a result about periodic orbits of symplectic tiling billiards in a very special case and then show how this result is related to planar linkages and hyperbolic geometry. Comment: This version is quite similar to the previous one. I eliminated a typo and also (in Sect 3.1) I added a remark describing a very nice observation of Jannik Westermann and some forthcoming joint work of mine and Jannik's that is based on this observation |
| Databáze: | arXiv |
| Externí odkaz: |
|