### 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.

Original language | English |
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Pages (from-to) | 73-78 |

Number of pages | 6 |

Journal | Mathematical Intelligencer |

Volume | 40 |

Issue number | 1 |

Early online date | 15 Feb 2018 |

DOIs | |

Publication status | Published - 31 Mar 2018 |

### Keywords

- integers
- curves on plane
- digit-sum

## Cite this

Estrada, E. (2018). Integer-digit functions: an example of math-art integration.

*Mathematical Intelligencer*,*40*(1), 73-78. https://doi.org/10.1007/s00283-017-9726-x