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 . 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  right-hand-side part of the previous equation. For instance, and in modern architecture . On the other hand, many the number N ¼ 257, expressed in the base b ¼ 10, is: mathematical objects display artistic appeal per
The Mathematical Intelligencer – Springer Journals
Published: Feb 15, 2018
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