“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.