The Lorenz Manifold: Crochet and Curvature

Year: 2006 Authors: Hinke M Osinga; Bernd Krauskopf

Core claim

The Lorenz manifold can be computed as a stable manifold and translated into crochet instructions that reveal both its chaotic dynamics and its artistic geometry.

Topics

chaotic dynamics, invariant manifolds, crochet modeling, mathematical art

Domains

dynamical systems, ordinary differential equations, stable and unstable manifolds, curvature, textile art, crochet, mathematical sculpture, visualization

Methods

computational manifold tracking, geodesic level sets, triangulated mesh growth, crochet instruction synthesis

Media

crochet yarn, mesh model, supporting wires, stiff z-axis

Source status

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