Towards the Koch Snowflake Fractal Billiard: Computer Experiments and Mathematical Conjectures

zbMath1222.37028arXiv0912.3948MaRDI QIDQ3062304

Robert G. Niemeyer, Michel L. Lapidus

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0912.3948

zbMATH Keywords

dynamical systemsself-similarityfractal geometryexperimental mathematicsflat surfacefractal billiardbilliard flowrational polygonal billiardscomputer-aided experimentsperiodic and quasiperiodic orbitsFagnano and piecewise Fagnano orbitsKoch snowflake billiardmathematical conjectures and open problemsprefractal polygonal billiards

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Periodic orbits of vector fields and flows (37C27) Dynamical problems in solid mechanics (74H99) General theory of differentiable manifolds (58A99) Ergodic theory (37A99) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Numerical problems in dynamical systems (65P99)

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