Geometry of Radix Representations

William J. Gilbert
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William J. Gilbert: University of Waterloo, Department of Pure Mathematics

A chapter in The Geometric Vein, 1981, pp 129-139 from Springer

Abstract: Abstract The aim of this paper is to illuminate the connection between the geometry and the arithmetic of the radix representations of the complex numbers and other algebraic number fields. We indicate how these representations yield a variety of naturally defined fractal curves and surfaces of higher dimensions.

Keywords: Fractal Dimension; Number System; Minimum Polynomial; Algebraic Integer; Fractal Curve (search for similar items in EconPapers)
Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-5648-9_7

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DOI: 10.1007/978-1-4612-5648-9_7

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