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 (https://doi.org/10.1007/s00283-017-9726-x)
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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.
ORCID iDs
Estrada, Ernesto ORCID: https://orcid.org/0000-0002-3066-7418;-
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Item type: Article ID code: 66389 Dates: DateEvent31 March 2018Published15 February 2018Published Online3 April 2017AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 17 Dec 2018 11:51 Last modified: 11 Nov 2024 11:40 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/66389