The Lorenz Manifold: Crochet and Curvature

Hinke M. Osinga and Bernd Krauskopf
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 255–260

Abstract

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.

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