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Back in 1963 the physicist and mathematician Stanislaw Ulam devised a simple rectangular spiral of numbers accentuating all the occurrences of primes. Within this spiral the prime numbers tend to organise into vertical, horizontal and diagonal lines. This phenomenon has fascinated many mathematicians ever since. Apart from the first two primes (2 and 3), every other prime number potentially occurs only as a multiple of 6 plus or minus 1 (e.g. 5,7,11,13,17,19,23,29,31, and so on). My UlamX6 artwork is an Ulam spiral of 484 values from 0 to 483 all represented as polka dots. The prime numbers are given a colour and numbers which are multiples of 6 are dark grey. The remaining values are light grey. UlamX6 structure Within UlamX6 the dark grey 6-multiples create a facinating organised pattern. The primes cling to this structure of 6-multiples. So you can see that it is the close relationship with the 6-multiples that organises the primes into these vertical, horizontal and diagonal lines. For an insight to the structure of this print refer to my webpage - https://paulashwell.co.uk/ulam.html Compare the patterning here with my hexagonal spiral prints, Prime spiral honeycomb and Desert storm, where the 6-multiples are rendered white and the set of primes a single colour.
Mixed Media:Algorithmic Art on Paper
Size:29.9 W x 29.9 H x 0 D in
Ready to Hang:No
Born 1953 in the UK. Paul Ashwell produces striking abstract paintings and prints. Inspired by repeated journeys, geology, music and numbers, his background as a skilled printmaker also influences his work. Much of his work is created by superimposing layers - using plaster, tissue, newsprint and paint to bring out or obscure previous layers. He often uses gloss and matt to give different appearances in different light and from different angles. Paul's facination with number and pattern is a reoccuring theme. His Prime Marks is a good example of this. http://tinyurl.com/pzykw2m http://paulashwell.co.uk http://paulashwell.co.uk/prime
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