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

Ernesto Estrada

Research output: Contribution to journalArticle

1 Citation (Scopus)
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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.
Original languageEnglish
Pages (from-to)73-78
Number of pages6
JournalMathematical Intelligencer
Volume40
Issue number1
Early online date15 Feb 2018
DOIs
Publication statusPublished - 31 Mar 2018

Keywords

  • integers
  • curves on plane
  • digit-sum

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