Integer-Digit Functions: An Example of Math-Art Integration

Integer-Digit Functions: An Example of Math-Art Integration Integer-Digit Functions: An Example of Math- Art Integration ERNESTO ESTRADA ‘‘God made the integers, all else is the work of man.’’ L. Kronecker athematics and the visual arts mutually reinforce Digit Sum with ‘‘Memory’’ one another [10]. On the one hand, many math- A nonnegative integer N can be represented in a given base ematical objects appear in artistic or decorative M b according to the following expression works [5, 6]. In particular, mathematical curves and art have n n1 n2 N ¼ a b þ a b þ a b þ  þ a b þ a ; ð1Þ 1 2 3 n1 n a long-standing connection through the application of geometric principles [13, 20]. Simple curves such as the where a are nonnegative integers. We can represent a catenary are ubiquitous, for example in the work of the negative integer in a similar way if we multiply by 1 the Catalan architect Antoni Gaudı, as well as in ancient [19] right-hand-side part of the previous equation. For instance, and in modern architecture [12]. On the other hand, many the number N ¼ 257, expressed in the base b ¼ 10, is: mathematical objects display artistic appeal per http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Mathematical Intelligencer Springer Journals

Integer-Digit Functions: An Example of Math-Art Integration

Loading next page...
 
/lp/springer_journal/integer-digit-functions-an-example-of-math-art-integration-6OfGs0fu5b
Publisher
Springer US
Copyright
Copyright © 2018 by The Author(s)
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation; Mathematical and Computational Engineering
ISSN
0343-6993
eISSN
1866-7414
D.O.I.
10.1007/s00283-017-9726-x
Publisher site
See Article on Publisher Site

Abstract

Integer-Digit Functions: An Example of Math- Art Integration ERNESTO ESTRADA ‘‘God made the integers, all else is the work of man.’’ L. Kronecker athematics and the visual arts mutually reinforce Digit Sum with ‘‘Memory’’ one another [10]. On the one hand, many math- A nonnegative integer N can be represented in a given base ematical objects appear in artistic or decorative M b according to the following expression works [5, 6]. In particular, mathematical curves and art have n n1 n2 N ¼ a b þ a b þ a b þ  þ a b þ a ; ð1Þ 1 2 3 n1 n a long-standing connection through the application of geometric principles [13, 20]. Simple curves such as the where a are nonnegative integers. We can represent a catenary are ubiquitous, for example in the work of the negative integer in a similar way if we multiply by 1 the Catalan architect Antoni Gaudı, as well as in ancient [19] right-hand-side part of the previous equation. For instance, and in modern architecture [12]. On the other hand, many the number N ¼ 257, expressed in the base b ¼ 10, is: mathematical objects display artistic appeal per

Journal

The Mathematical IntelligencerSpringer Journals

Published: Feb 15, 2018

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from Google Scholar, PubMed
Create lists to organize your research
Export lists, citations
Access to DeepDyve database
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off