# Integer-digit functions

## an example of math-art integration

Research output: Contribution to journalArticle

1 Citation (Scopus)

### 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 73-78 6 Mathematical Intelligencer 40 1 15 Feb 2018 https://doi.org/10.1007/s00283-017-9726-x Published - 31 Mar 2018

Digit
Integer
Curve
Value Function
Logarithmic
Attribute
Transform
Symmetry
Art
Resemblance

### Keywords

• integers
• curves on plane
• digit-sum

### Cite this

Estrada, Ernesto. / Integer-digit functions : an example of math-art integration. In: Mathematical Intelligencer. 2018 ; Vol. 40, No. 1. pp. 73-78.
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Integer-digit functions : an example of math-art integration. / Estrada, Ernesto.

In: Mathematical Intelligencer, Vol. 40, No. 1, 31.03.2018, p. 73-78.

Research output: Contribution to journalArticle

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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.

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