UlamX6


United Kingdom

New Media
Size: 29.9 H x 29.9 W x 0 in

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Art Description

New Media: Algorithmic Art, Vector, Digital and New Media on Paper.

I've been fascinated with the visual properties and potential of the prime number series for many years. One aspect that has struck me is that apart from the first two primes (2 and 3), every further prime will potentially occur only as a multiple of 6 plus or minus 1 (e.g. 5,7,11,13,17,19,23,29 and so on).

Back in 1963 Stanislaw Ulam devised a simple rectangular spiral of numbers accentuating all the occurrences of primes. The primes tended to organise themselves into vertical, horizontal and diagonal lines. This phenomenon has fascinated many mathematicians ever since. (https://en.wikipedia.org/wiki/Ulam_spiral).

My artwork Ulam+6 is of an Ulam spiral of 483 values depicted as polka dots. All the prime values are given a colour and all values which are multiples of 6 are depicted as dark grey. The remaining values are a lighter grey.

The multiples of 6 make an interesting grid pattern in themselves. But also, the coloured primes cling to the 6 grid with a tendency to form long lines of primes. It appears that it is the underlying pattern of sixes that control and create this effect. This seems to have not been noted in other commentaries on the Ulam spiral

I have also created other artworks based on hexagonal spirals that also show this interesting relationship and patterning in different ways – e.g. https://www.saatchiart.com/art/New-Media-Prime-spiral-honeycomb/84828/2095746/view

Keywords: Patterns, Prime Numbers, Ulam Spiral, Multiples Of 6, Stanislaw Ulam, Primes, Polka Dots, Mathematics

Subjects: Geometric

Styles: Fine Art, Abstract

Mediums: Algorithmic Art, Vector, Digital, New Media

Materials: Paper

Prints: Geometric Art Prints, Fine Art Art Prints, Abstract Art Prints, Algorithmic Art Art Prints, Vector Art Prints, Digital Art Prints, New Media Art Prints, Paper Art Prints

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