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Symmetry,beauty and chaos in Chebyshev's paradise |
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| Authors: | Clifford A. Pickover |
| Affiliation: | (1) IBM Thomas J. Watson Research Center, 10598 Yorktown Heights, NY, USA |
| 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. |
| Keywords: | Chaos Computer art Symmetry Dynamical systems Numerical analysis Experimental mathematics Iteration Computer graphics Fractals Newton's method |
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