Some related fractals: https://www.khanacademy.org/computer-programming/eisenstein-flowsnake/617014... https://www.khanacademy.org/computer-programming/gaussian/6554929830723584 https://www.khanacademy.org/computer-programming/eisenstein/5069082270793728 On Wed, Apr 17, 2019 at 5:15 PM Bill Gosper <billgosper@gmail.com> wrote:
Knuth has proposed two positional base + digits schemes for representing complex numbers. Base i-1, digits {0,1}: https://en.wikipedia.org/wiki/Complex-base_system#/media/File:ComplexTwindra... , gosper.org/basei-1.png and Base 2i, digits {0,1,2,3}: https://en.wikipedia.org/wiki/Quater-imaginary_base These systems are closely related, because (i-1)² = -2i . So in base 2i, you can get the mirror image of the twindragon system by using the digits {0, 1, - i - 1, -i} instead of {0,1,2,3}! —rwg _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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