The Lorenz manifold: crochet and curvature

HM Osinga, B Krauskopf

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)


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 contributionThe Lorenz manifold: crochet and curvature
Original languageEnglish
Title of host publicationThe Bridges Conference: Mathematical Connections in Art, Music, and Science
Pages255 - 260
Number of pages5
Publication statusPublished - Mar 2006

Bibliographical note

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


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  • The Lorenz manifold: Crochet and curvature

    Osinga, HM. & Krauskopf, B., Mar 2006, (Accepted/In press).

    Research output: Working paper


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