The Lorenz manifold: Crochet and curvature

HM Osinga; B Krauskopf

The Lorenz manifold: Crochet and curvature

HM Osinga, B Krauskopf

Department of Engineering Mathematics

Research output: Working paper › Working paper and Preprints

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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

Original language	English
Publication status	Accepted/In press - Mar 2006

Bibliographical note

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.

Access to Document

Ok preprintSubmitted manuscript, 1.16 MB

http://hdl.handle.net/1983/424

Cite this

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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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