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Symmetry, beauty and chaos in Chebyshev's paradise

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Abstract

Chebyshev polynomials and Halley maps are used as a reservoir for the generation of several visually striking and intricate classes of symmetrical and chaotic patterns. Relatively simple numerical recipes are included to encourage reader involvement.

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Authors and Affiliations

  1. IBM Thomas J. Watson Research Center, 10598, Yorktown Heights, NY, USA

    Clifford A. Pickover

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  1. Clifford A. Pickover
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Pickover, C.A. Symmetry, beauty and chaos in Chebyshev's paradise. The Visual Computer 4, 142–147 (1988). https://doi.org/10.1007/BF01908897

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  • DOI: https://doi.org/10.1007/BF01908897

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