Fractal geometry derived from complex bases |
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Authors: | William J Gilbert |
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Institution: | 1. Department of Pure Mathematics, University of Waterloo, N2L 3Gl, Waterloo, Ontario, Canada
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Abstract: | Each complex number can be expressed as a single number in positional notation using certain complex bases, just as the positive real numbers can be expressed as decimal expansions. These representations yield some intriguing geometric patterns in the complex plane, whose boundaries are fractal curves. One of these curves is known from the investigation of dragon curves; the others are new examples of fractals. |
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