Anna Virágvölgyi
I intended to make elements wear on itself the features of the entire set which include them. To find these elements I start out from a marked state. The marked state here is a cylinder striped by various colours. Elements are congruent squares (they may be considered words, codes, propositions, concepts, cells, etc. as well). There are ornaments on cylinder include each combinatorial possible square with the same number of stripes continuously. In consequence of its origins certain elements can cohere (fit together) and others do not cohere. By occasion rearranging the squares various constraint of coherence of elements are accepted or rejected. So the shape and inner structure of the result pattern visualise coherency. (Coherency is examining like the criteria of beauty and truth.)
A picture of an unwrapped cylinder.
The universal cycle
"a b c a b a b a b c b c b c a b c a b c b c a c b a c a b a c b c
a c a c a b a b c a c a b c b"
includes all possible words of six length from the alphabet (a, b,
c) in which no letters of alphabet are paired. The picture is
created by substituting stripes for letters of the universal
cycle. Due to of the nature of universal cycles all possible
diagonal striped square tiles (with six stripes - each differ from
its neighbour) can be found on this picture.
This is a special picture of our favourite place of excursion. The level lines of the tourist-map was vectorized and shaded according to the scale of height. Coauthor Szécsi József
This is a pattern of 48 different squares. Albeit the arrangement of the squares is not regular, since all the elements are different, the whole surface is symmetrical. There are several inner pattern with identical outer form. Other changes in the neighborhoods of the elements engender different outer shapes. There are innumerable patterns possible on the plane and on surfaces of solid figures as well.