UlamX6
UlamX6 2018
Digital print 
Back in 1963 the physicist and mathematician devised a simple 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 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 Click or tap to enlarge Within my UlamX6 print
and its structure diagram shown here the dark grey 6multiples create a facinating organised pattern. The primes (mid grey in the diagram) cling to this structure of 6multiples. So you can see that it is the close relationship with the 6multiples that organises the primes into these vertical, horizontal and diagonal lines.
Compare the patterning here with my hexagonal spiral prints, and , where the 6multiples are rendered white and the set of primes a single colour.
