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: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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

Translated title of the contribution	The Lorenz manifold: crochet and curvature
Original language	English
Title of host publication	The Bridges Conference: Mathematical Connections in Art, Music, and Science
Pages	255 - 260
Number of pages	5
Publication status	Published - Mar 2006

Bibliographical note

Name and Venue of Event: Institute of Education, London Knowledge Lab
Conference Proceedings/Title of Journal: Tarquin Publications (2006)

Access to Document

http://rose.bris.ac.uk/dspace/handle/1983/424

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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AU - Krauskopf, B

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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 - Conference Contribution (Conference Proceeding)

SP - 255

EP - 260

BT - The Bridges Conference: Mathematical Connections in Art, Music, and Science

ER -