The Lorenz manifold: Crochet and curvature

HM Osinga; B Krauskopf

The Lorenz manifold: Crochet and curvature

HM Osinga, B Krauskopf

Research output: Working paper

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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.

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Ok preprintSubmitted manuscript, 1.16 MB

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

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1 Conference Contribution (Conference Proceeding)

The Lorenz manifold: crochet and curvature
Osinga, H. & Krauskopf, B., Mar 2006, The Bridges Conference: Mathematical Connections in Art, Music, and Science. p. 255 - 260 5 p.
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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title = "The Lorenz manifold: Crochet and curvature",

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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N2 - 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

AB - 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

M3 - Working paper

BT - The Lorenz manifold

ER -

The Lorenz manifold: Crochet and curvature

Abstract

Bibliographical note

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Research output

The Lorenz manifold: crochet and curvature

Cite this