We present a crocheted model of an intriguing two-dimensional surface - known as the Lorenz manifold - which illustrates chaotic dynamics in the well-known Lorenz system. The crochet instructions are the result of specialized computer software developed by us to compute so-called stable and unstable manifolds. The implicitly defined Lorenz manifold is not only key to understanding chaotic dynamics, but also emerges as an inherently artistic object
|Publication status||Accepted/In press - Mar 2006|
Additional information: Preprint of a paper to be presented at The Bridges Conference: Mathematical Connections
in Art, Music, and Science, 4-8 August 2006, Institute of Education, London Knowledge Lab.