Number Sequences in Fine Arts

I-70 Math main page.

Beautiful number sequences with incredibly interesting properties appear in every part of modern mathematics. Some of them made into museums in the form of conceptual art objects.

Roman Opalka, a conceptual artist, starting with numeral one in 1965, painted consecutively natural numbers

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,…

until his death in 2011. The final number he painted was 5,607,249. Official website of the artist

The Nelson-Atkins Museum of Art in Kansas City (online catalogue)

Fibonacci numbers

The legendary sequence of Fibonacci numbers starts with the entries
1, 1, 2, 3, 5, 8, 13, 21, 34, …
Any number of the sequence is the sum of the preceding two numbers. The fame of these numbers is fed by their close connection to the golden ratio, which, in turn is widely (but questionably) believed to be related to harmony in arts and nature.

A collection of mathematical facts and problems on Fibonacci numbers and some discussion with references on the myth of the golden ratio can be found in Chapter 6 of the book.

Marianna Kistler Beach Museum of Art in Manhattan, KS (online catalogue)

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