### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Keywords

- integers
- curves on plane
- digit-sum

### Cite this

*Mathematical Intelligencer*,

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

}

*Mathematical Intelligencer*, vol. 40, no. 1, pp. 73-78. https://doi.org/10.1007/s00283-017-9726-x

**Integer-digit functions : an example of math-art integration.** / Estrada, Ernesto.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Integer-digit functions

T2 - an example of math-art integration

AU - Estrada, Ernesto

PY - 2018/3/31

Y1 - 2018/3/31

N2 - 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.

AB - 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.

KW - integers

KW - curves on plane

KW - digit-sum

UR - https://link.springer.com/journal/283

U2 - 10.1007/s00283-017-9726-x

DO - 10.1007/s00283-017-9726-x

M3 - Article

VL - 40

SP - 73

EP - 78

JO - Mathematical Intelligencer

JF - Mathematical Intelligencer

SN - 0343-6993

IS - 1

ER -