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The Lorenz manifold: Crochet and curvature

Research output: Working paperWorking paper and Preprints

  • HM Osinga
  • B Krauskopf
Original languageEnglish
StateAccepted/In press - Mar 2006


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

Additional information

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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