Anna Virágvölgyi

“A pattern of 48 different squares”

Digital print, 20" x 20", 2008.



This is a pattern of the 48 different squares, where the square sheets are striped diagonally, the stripes are coloured by three colours in that way that the adjacent stripes are different colour. Albeit the arrangement of the squares is not regular, since all the elements are different, the whole surface is symmetrical. Change the neighbourhoods of the elements engender a different shape. There are innumerable patterns possible. (For example rectangles may be made – with matching opposite borders – which form tori.) The almost limitless solution patterns enhance cognitive skills.


Anna Virágvölgyi, Mathematician, Budapest, Hungary

"There are restricted de-Bruijn cyclic sequences of a given alphabet A with size k on which every possible subsequence of length n in A - in which all the adjacent characters are different - appears as a sequence of consecutive characters exactly once. Here I wanted to test what kind of complexity is possible to form from all arrangements of three things. The 48 squares, that form the picture, are produced from the above sequence (k=3, n=6) in such a way that the diagonally striped squares are assigned to the subsequences and the coloured stripes are assigned to the characters." Collaborators: Halász István, Szécsi József.


viragvolgyi.anna@gmail.com