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Fractal peano curves

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Abstract

We show that the theory of iterated function systems (i.f.s.′s) can be used to construct and geometrically describe Peano curves. We present this point of view by exhibiting i.f.s.′s whose attractors are the graphs of some well-known Peano curves.

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Authors and Affiliations

  1. LaGrange College, 30240, LaGrange, GA, USA

    Peter R. Massopust

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  1. Peter R. Massopust
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Massopust, P.R. Fractal peano curves. J Geom 34, 127–138 (1989). https://doi.org/10.1007/BF01224238

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  • DOI: https://doi.org/10.1007/BF01224238

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