Integer-digit functions : an example of math-art integration

Estrada, Ernesto (2018) Integer-digit functions : an example of math-art integration. Mathematical Intelligencer, 40 (1). pp. 73-78. ISSN 1866-7414

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    Abstract

    This article introduces a new family of curves in the plane defined by functions transforming an integer according to sums of digit-functions. These transforms of an integer N are obtained by multiplying the function value f Nð Þ by the sum of f að Þi , where ai are the digits of N in a given base b and f is a standard function such as a trigonometric, logarithmic, or exponential one. These curves display a few attributes, such as beauty, symmetry, and resemblance to natural environments, which make them attractive for artistic purposes.