This image has fractal behavior both at the border as well and in the center. The basic figure of the whole square contains triangles that are deformed into swans in such a way that all swans have the same shape; they are only rotated and/or scaled, but not mirrored. A swan generates towards the border two smaller swans, with half the area; and it does the same towards the center. The inspiration of this image comes from Escher’s Square Limit, and the color scheme with 3 colors is analoguous. The substitution scheme at the diagonals has been made consistent, so that one swan also generates two smaller swans there. As a result, the shape of the overall image becomes a non-regular octagon instead of a square. Besides the double fractal structure, another difference with Escher’s Square Limit is that the swans have no mirrored tiles.
My training as a mathematician and my experience as a software programmer are the basic elements for designing my works of art. Since my retirement in 2019 I have started creating digital art with a mathematical slant. The works of M.C. Escher are a source of inspiration. Thanks to programs.. Read more…