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Chaotic attractors with the symmetry of the dodecahedron - MaRDI portal

Chaotic attractors with the symmetry of the dodecahedron (Q1307930)

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scientific article; zbMATH DE number 1360848
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Chaotic attractors with the symmetry of the dodecahedron
scientific article; zbMATH DE number 1360848

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    Chaotic attractors with the symmetry of the dodecahedron (English)
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    10 November 1999
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    The author defines polynomial functions in 3-space that are equivariant with respect to the symmetries of a dodecahedron. Monte Carlo searches through the parameter space lead to functions that are experimentally chaotic and that have visually appealing attractors. The images are rendered by ray-tracing and an animation is created. Thus we deal with the construction of chaotic attractors with the symmetry group of the dedecahedron and the icosahedron.
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    polynomial function
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    symmetry of the dodecahedron
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    chaotic attractor
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